TEASMath1

Which of the following places the given values in order from least to greatest? 3/4 5/8 2/3 4/7 2/5

2/5 4/7 5/8 2/3 3/4

A 150-acre field yeilded 3,600 bushels of wheat. What is the unit rate of bushels per acre?

24 Yes - 3,600 bushels/150 acres. 540,000 No - Do not multiply 150 and 3,600 360 No - Review the section on unit rates. 0.042 No - Do not divide 150 by 3,600.

A child is 4 years old; the mother is 7 times as old as the baby; and the grandmother is twice as old as the mother. What is the sum of their ages?

25 No - Multiply to get the mother's and grandmother's ages. 37 No - Do not add mother's and baby's ages to determine mother's age. 88 Yes - Mother is 7 * 4; grandmother is 2* (7 * 4). Sum means add. 54 No - Grandmother is not twice as old as mother's plus baby's ages.

How do you turn integers into fractions?

by simply writing them over a 1. Example: - the integer 5 = 5/1 - the integer -2 = -2/1 - the integer 100 = 100/1 therefore, these are rational numbers.

Convert the fraction into a decimal: 19 --- 10

1.9

Milli

1/1,000

Deci

1/10

Centi

1/100

How do you find area of a triangle?

1/2 x base x height= square ft

Express 30 minutes to 4 hours as ratio of minutes in fraction form.

1/8

Deca

10

How much is a Deka?

10

Simplify the expression (3-1)^2 + 6.

10

What # is X in roman numerals?

10

A gadget requires 3 1/2 ft of red wire, 5 1/3 ft of green wire, and 1 3/4 of yellow wire. What is the total ft of wire needed?

10 7/12 ft

How much is a Hecto?

100

What # is C in roman numerals?

100

What is 10^2?

100

Roman numeral M

1000

Convert the decimal into a fraction: 1.07

107 ---- 100

Which of the following is the correct value of 3 + 2 * 6 - 4? A. 32 B. 10 C. 11 D. 26

11 Steps: 1. multiply 2. add 3. subtract

Arrange from least to greatest: 11/55, 2/9, 0.222

11/55, 0.222, 2/9

What is the conversion of 45.2C to Farenheit?

113.4F

Simplify the expression (8x^2 - 7x + 3) + (3x^2 - 2x - 1)

11x^2 - 9x + 2

3 students were absent from a class of 24. What is the percent decrease?

12.5%

Student A reads 10 pages per hour. Student B reads 18 pages per hour. Each has a 288 page book to read. How sooner will Student B finish the book?

12.8 hours faster

What is 11^2?

121

Convert the decimal to a percent: 1.22

122%

Solve this rational using the correct order of operations: 9 - 5 / (8 - 3) * 2 + 6 note: evaluate PEMDAS from left to right

13

Solve this rational using the correct order of operations: 4 + 3 * (9 - 6) = ?

13 Steps: 1. solve inside parentheses 2. multiply 3. add

How many lbs are in 6 kg?

13.2 lb.

Students increased from 625 to 710. What is the percent increase? (round # to nearest tenth percent)

13.6%

What is 14.5% of 96

13.92

Solve this rational using the correct order of operations: 3 + 6 * (5 + 4) + 3 - 7 note: evaluate PEMDAS from left to right

14

Divide 0.710 by 0.05

14.2

What is 12^2?

144

How many inches are in 4 yds?

144 in.

What # is MCDXLV?

1445

what is the LCM of 3 and 5

15

What is 4^2?

16

On a blueprint of a house, every 1 inch represents 1 actual foot. If the dining room wall measures 16 inches, how long is the actual wall?

16 ft

Which of the following percentages is equivalent to 8/5? A. 1.6% B. 160% C. 0.625 D. 62.5%

160% Steps: - turn the fraction into a decimal - multiply the decimal by 100 = answer

What is 13^2?

169

Order from least to greatest: 0.55, 17%, v25, 64/4, 25/50, 3

17%, 25/50, 0.55, 3, 25v, 64/4

Martin spends 17 hrs in a 2 week period practicing piano. At this rate how many hours will he practice in 5 weeks?

17/2 = x/5 cross multiply 2x/5 = 85/2 x=42.5

Using front-end estimation, what is the correct estimation of the sum: 23+33+44+51+31

170

What is the least common denominator of the following fractions? 2/9, 1/2, 2/3

18 find multiples of all 3 denominator

If sound travels 6,160 feet in. 5.5 feet, how far does in travel in 16.5 seconds?

18,480 If x is the distance sound travels then: x/16.5 = 6,160/5.5 cross multiply 5.5x/5.5 101,640/5.5 x=18,480

3 + 2/3 x 9/10?

18/5 ; 3 3/5

What is the product of 2 3/8 and 2/3?

19/12 ; 1 7/12

What is 14^2?

196

write the place value for each digit in the number 14,059.826

1: 1 ten thousands 4: 4 thousands 0: 0 hundreds 5: 5 tens 9: 9 ones 8: 8 tenths 2: 2 hundredths 6: 6 thousandths

A cat owner gets a vitamin prescription from his veterinarian that lists the dosage as 5 mL twice a day. The bottle contains 300 cc. How many days will the bottle last?

1mL = 1cc needs 10mL per day or 10cc per day300cc/ 10cc = 30 days

Solve this rational using the correct order of operations: (12 - 2) / (11 - 6) = ?

2 Steps: 1. solve inside parentheses 2. divide

Solve this rational using the correct order of operations: 36 - 6 ------- 12 + 3

2 note: - first, make sure to solve numerator and denominator separately - then divide the fraction last

List the following in decreasing order: -2, -0.2, 2 (2/10), 2

2 (2/20) 2 -0.2 -2

A baker need 3/4 cup sugar to make 12 brownies. how much sugar does the baker need to make 40 brownies? A. 2 1/2 cups B. 2 1/4 cups C. 3 cups D. 4 cups

2 1/2 cups

The length of a bedroom is 12 ft and the length of the living room is 16 feet. A floor plan is drawn using a scale of 1 inch= 2 feet. Which of the following is the difference on the floor plan?

2 inches 16 ft - 12 ft= 4 feet Using the scale 1 inch = 2 feet 1 inch/ 2 feet = x/4 feet x= 2 inches

1 qt = ? pt

2 pt

4 cups = ? pt

2 pt

Solve this rational using the correct order of operations: 30 - 3 * 2 ----------- 18 - 24 / 2

4 Steps: 1. simplify the numerator 2. simplify the denominator 3. divide

$1 US is equivalent to about 6.56 Chinese yuan. A two bedroom Presidential suite on the top floor of a high-end hotel in Shanghai, China was listed at 25,000 yuan per night. What is the cost of the suite per night in US dollar?

$3,810.98

In 1947, the minimum wage was $0.40; in 1997, it was $4.88. What is the average rate of change in minimum wage (dollars per year) from 1947 to 1997?

11.16 years/dollar No - This is the average rate of change in years per dollar. $0.09/year Yes - $4.88 - $0.40/(1997-1947) = $4.48/50 years - $0.09/year. $4.48/year No - Do not simply subtract $0.40 from $4.88 $0.06/year This is the rate of change from 1947 to 1957.

Which of the following is the product of multiplying twenty-seven and twenty-five hundredths by nine and twenty-seven hundredths?

252.6075

A school had an enrollment of 12,301 students last year. The current year enrollment is 8,742 students. Which of the following is the decline in enrollment since last year?

3,559

Based on the information from the table, which of the following is the number of students who wrote more than 3 thank you notes.

34

What is the median of the following series of numbers? 1,5,352,76,3,2

4

Roman Numeral CD

400

Use the table to find answer, what is the conversion of 16fl oz to mL?

473.18mL

Roman numeral L

50

Roman Numeral D

500

A picture framer wants to put decorative foil strips around the perimeters if two square frames........ 200cm long foil strip. 3 times the length of a side

50cm and 150cm pieces

7.1 - 8.2y = -7.02

603/205- one way is to get ride of decimals by moving the decimal over the greatest number of decimal places in this case 2.

Which of the following percents is equivalent to 0.78?

78%

Which of the following options correctly matches the SI unit with an appropriate measurement device?

A thermometer measures kelvins

A certain amount of hay will last 8 cows for 20 weeks. How many cows will consume it in 32/3= 10667 weeks? A. 4 B. 85 C. 15 D. 2

C.15 C=k/t 8=k/20 C=160/t 160/10.667

On what night did Alex and Zane earn the same amount of tips?

Friday No - Alex earned $45; Zane earned $10 Thursday No - Alex earned $20; Zane earned $10. Tuesday Yes - They both earned $30 in tips. Wednesday No - Alex earned $40; Zane earned $30

Which of the following is a true statement about SI units?

SI units are part of a standard system of measurement that is used in science.

Solve: x - 5 = -12

x = -7

Solve: 3x = 10

x = 10/3

Solve: 2 -- X = 4 7

x = 14

Solve: 8 --X = 6 5

x = 15/4

Solve: 5x = 2

x = 2/5

Solve the equation x/10 = 5/12

x = 25/6

Solve: x - 5 = 32

x = 27

|x - 3|= 5

x = 8, -2

Solve: x + 20 = 100

x = 80

Prime number

A whole number that has exactly two factors, 1 and itself.

Area formula: Rectangle

A= L × W example: Length = 4in, Width= 3in A= 4 × 3= 12in²

Area formula: Parallelogram

A= h × b example= height= 5cm, base= 7cm A= 5 × 7= 35cm²

Area formula: Circle

A= π × r ² Example: radius= 3in A= π × 3²= 9π= 28.27²

A man wants to fence in his garden. The garden is rectangle and measures 25 ft by 30 ft. Fencing costs $11 per foot. How much will the fence cost to build?

$1,210

A teacher makes 40k and a plumber makes 50k. How much more does the plumber make for every dollar that the teacher makes?

$1.25 more or 125% more

50 gallons of syrup cost $75. What is the constant of proportionality in dollars per gallon?

$1.50 75/50 = $1.50/gal

How do you solve an equation with variables?

- collect all variable terms on one side of the equal sign - get all constants(numbers) on the opposite site - divide

What is the meaning of a variable in an equation?

- letters of the alphabet - sometimes raised to a power

1 L = ? qt

1.06 qt

1 m = ? yd

1.09 yd

125% to decimal

1.25

What is the quotient of 0.4375 divided by 0.35?

1.25 Long Division: ______1.25_____ 0.35 | 0.4375 -35 __________ 87 -70 __________ =175

Convert the percent to a decimal: 138%

1.38

What is √2?

1.4

1 mi = ? km

1.609 km

Multiply 5.62 x 0.3.

1.686

What is √3?

1.7

Flowers for each corsage or boutonniere are $2.35. Baby's breath for each are $0.95. Ribbon for each are $0.15 per foot. There will be 15 corsages and 15 boutonnieres. Each arrangement needs 9 inches of ribbon. What is the total cost?

$102.38

Reconcile this account. The previous balance is $1005.34. The deposits are: $32.56, $125.42, $675.90, $831.89. The checks made were: $85.98, $1045.00, $16.57, $5.12, $79.00. Interest is $1.79 and the service charge is $5.00.

$1436.23

Mr. Jordan bought a camera for $175 and sold it for 90% of the cost. For how much did he sell the camera?

$157.50 175 *.90= 157.50

Your current salary is $50,000. Next year you will get a 4% increase in your salary. How much more money will you make next year?

$2,000

Jane at lunch. she ordered a $4.99 app, $12.50 entree, $1.25 soda. She wants to tip her server 20%. how much will she spend in all?

$22.49

I bought a computer for. 1,750 and sold it for $500. What is my loss in percent?

($1,750-$500)/1,750 1,250/50/1,750 0.71428571 Move decimal place twice 71.43%

Sam bought a used book for $2, and sold it for $1.50. What was loss in percent?

($2-$1.50)/$2 (0.5)/$2 0.25 Move decimal place twice 25%

Convert decimal to a fraction by

(make sure fraction is in reduced form.) Multiply by 1,000. Then reduce fraction.

Order from least to greatest: -2/3, 4 5/8 , 2/17, 0.012

*Remembere negative numbers numbers are less than positive numbers.* -2/3, 0.012, 2/17, 4 5/8

Percentage Convert to/from Fraction

*TO* - Convert to decimal first (divide by 100) then put into simplest form *FROM* - Convert to decimal (multiply to get 100 in denominator then divide by denominator) then put decimal into %

Percentage Convert to/from Decimal

*TO* - Divide % by 100 then remove % symbol *FROM* - Multiply by 100 then add % symbol

Rounding Rules

- 5 or *LARGER*, round *UP* (decimals) - 5 or *SMALLER*, Round *DOWN* (decimals) - Numerator is *GREATER THAN OR EQUAL TO 1/2* the denominator, then round whole # *UP* - Numerator is *LESS THAN OR EQUAL TO 1/2* the denominator, then round whole # *DOWN*

3- 5 1/3=

- 7/3

Percent Increase Equation

- Percent Increase ~ PI= new amount - original amount/ original amount X 100%

What makes *rational* numbers different from *irrational* numbers?

- Rational numbers can be written as either terminating or repeating numbers. For example, 6 can be written 12/2 or 18/3 - Irrational number *can not* be written in fraction form. For example, the square root of 2 or the number pie converted to a decimal are not terminating or repeating.

Compare and Order Rational Numbers

-*Rational Numbers*: -6 (-6/1), 5 (5/1), 100 (100/1) -*Irrational Numbers*: Square root (any prime number), pi -*Numeric Order*: Least to Greatest, Greatest to Least. Best in decimal form. Line them up vertically. -*Fraction/Fraction Form*: 5 2/7 (put into decimal) Divide 2 by 7 to get .2857 which will equal 5.2857

3x-{2x-{x-(5x+6)]} = x-2

-1

Order from greatest least -10.01, 10.1, -10.009,-10

-10, -10.009, -10.01, -10.1 Find the absolute value of negative numbers because (they become greater as the numbers themselves become smaller.)

Simplify the expression -5y (7y^2 - 4y - 2)

-35y^3 + 20y^2 +10y

Four plus three times a number is twice the number, what is the number?

-4 Let x be the number. Then: 4+3x=2x 3x=2x-4 3x-2x=-4 x=-4

What is the correct increasing order for -5, 2 , 0.523 5 --- 3

-5 0.523 5 2/3

Write in increasing order: -5,5 2/3, 0.523

-5, 0.523, 5 2/3

Place from least to greatest -5, -4.99, -5.01, -5.001, -5.1

-5.1, -5.01, -5.001, -5, -4.99

Which of the following places the values below in order from least to greatest? -5, -4.99, -5.01, -5.001, -5, -5.1

-5.1, -5.01, -5.001, -5, -4.99 Least to greatest: 1 in tenths place is least The absolute value of negative numbers becomes smaller as the numbers themselves become greater

Simplify the expression (24x^2y + 14xy - 8xy^2) ÷ (-4xy)

-6x + 7/2 + 2y

Solve: x + 7 = -3x

-7/4 = x

Sales Tax Equation

-Convert % to decimal then Multiply % times the Original Number (% x Original Price, Original Price + x = ST)

Ratio/Rate Change

-Ratio: Simply just a fraction. Once you add/attach WORDS (units) to fraction then it becomes a RATE. - Example- ~Y2-Y1/X2-X1 rise over run ~Unit Rate - denominator HAS to be 1

15% to decimal

.15

24.36% to decimal

.2436

Write 253/1000 in decimal form

.253

Solve this rational using the correct order of operations: 150 / (6 + 3 * 8) - 5 note: evaluate PEMDAS from left to right

0

How much is a Milli?

0.001

What is the product of 0.02 and 0.4?

0.008

How much is a Centi?

0.01

Convert 3/125 to a decimal.

0.024

What is the product of 0.12 and 0.3?

0.036

What is 1/10 as a decimal and %?

0.1 ; 10%

How much is a Deci?

0.10

What is 1/8 as a decimal and %?

0.125 ; 12.5%

What is 1/6 as a decimal and %?

0.16^- ≈ 16.5%

Convert 1/5 to a decimal.

0.2

What is 1/5 as a decimal and a %?

0.2 ; 20%

Which of the following numbers is irrational? 5/4, 11.00023, 5.34343434..., 0.202002000200002

0.202002000200002 irrational numbers never repeat

Convert the fraction into a decimal: 13 --- 50

0.26

What is 3/10 as a decimal and a percent?

0.3 ; 30%

What is 1/3 as a decimal and %?

0.33^- ≈ 33.5%

What is 3/8 as a decimal and %?

0.375 ; 37.5%

1 cm = ? in.

0.394 in

Simplify the expression 0.48 ÷ 1.2?

0.4

1 lb = ? kg

0.45 kg

1 km = ? mi

0.62 mi

What is 5/8 as a decimal and %?

0.625 ; 62.5%

What is 2/3 as a decimal and %?

0.66^- ≈ 0.67 ; 67%

Convert the percent to a decimal: 73.7%

0.737

What is 6/8 as a decimal and %?

0.75 ; 75%

Which number is greater: 0.778 or 0.788?

0.788

Convert 4/5 to decimal and then to a percent

0.8----> 80%

What is 7/8 as a decimal and %?

0.875 ; 87.5%

1 yd = ? m

0.914 m

1 qt = ? L

0.95 L

What is 1^2?

1

What is I in roman numerals?

1

Name the hundredths digit of. 9643.0175

1 The hundredths places is two places to the right of the decimal point.

What is 5/6 + 3/4 A. 8/12 B. 8/10 C. 1 9/12 D. 1 7/12

1 7/12 This results from creating equivalent fractions with common denominators and correctly adding the fractions: 10/12 + 9/12 =19/12 This can be simplified to the mixed number 1 7/12

Liquid Volume

1 L = 1,000 mL = 1000 cc

8 oz. = ? cups

1 cup

16 oz.= ? lbs

1 lb

How much is a Kilo?

1,000

Kilo

1,000

What # is M in roman numerals?

1,000

How many centiliters are in 10 L?

1,000 centiliters

1 liter (L)

1,000 mL

A sales associate at a car dealership makes a 12% commission on the selling price of every car she sells. In one morning, she sold two cars worth $4,000 and 7,500. Which of the following values represents the amount of commission the sales associate earned?

1,380 $4,000 + 7,500= $11,500 $11,500 * 0.12= 1,380

In a high school of 3,775 students, 40% are girls and the remainder are boys. How many boys and how many girls go to the high school?

1,510 girls; 2,265 boys

1 mi = ? m

1,609 m

Common Denominator

1. Find least on on multiple of denominator 2. Change each fraction to make their denominator the same as least common denominator ~List multiples of each denominator and find SMALLEST number ~Multiply numerator by multiple of LCD, Use LCD as denominator

How do you convert a decimal to a fraction?

1. count how many places after the decimal - (1.03) would be the 100th place - (1.003) would be the 1000th place 2. take the whole number and put it over the amount of places after the decimal - 103/100 - 1003/1000

In word problems "of" indicates 1._________ and "are" indicates 2_________

1. multiplication 2. equivalence

A rational number is:

1.) a fraction 2.) a terminating decimal 3.) a repeating decimal w/ a pattern

An irrational number is:

1.) a square root 2.) a decimal w/o a repeating number

which of the following expressions 237.45 written in expanded form in terms of powers of tens?

2*10² + 3*10¹+7*10⁰+4*10⁰+4*10¹+5*10⁻² In base ten standard form, the position of each digit indicates the power of 10 by which it was multiplied, the the products are added.

1 ton = ? lbs

2,000 lbs

What is an approximate decimal equivalent to ∛10?

2.15

What is √5?

2.2

1 kg = ? lbs

2.2 lbs

1 in. = ? cm

2.54 cm

multiply 1/3 X 2/3.

2/9

Simplify 0.4 ÷ 0.02.

20

Simplify the expression 2+6 x 3.

20

23+33+44+51+31 Using front-end estimation, what is correct estimation of above sum?

20+30 50 40+50 90 50+90 140 +30 170

Name the denominator of 33/21

21

What is the approximate % of 7/33?

21%

Solve this rational using the correct order of operations: 6 x 5 + 4 / 2 - 2 x 5

22 Steps: 1. multiply and divide from left to right 2. add and subtract from left to right

What is 15^2?

225

The dimensions of a living room are 18 ft by 24.5 ft. If the dimensions of the room are rounded to the nearest whole foot, which of the following products would be the best estimate for the area of the room?

24.5 to 25 18 stays the same so, 25 x 18 = 450ft squared

Simplify the expression 11.4 cm x 7 cm x 3.06 cm.

244.188 cm cubed

Simplify the expression 4 + (3 x (5+2) ).

25

What is 5^2?

25

A school bake sale sells 4% of its cookies to the first customer. There are 24 cookies left. How many cookies did the bake sale have to start?

25 If x is the total # of cookies then: x-0.004x=24 (1-0.04)x=24 0.96x=24 x=24/0.96 x=25

A rancher increased her herd of cattle to 360 head from 288 head. What was the percent increase in cattle?

25% To find the percent increase the previous number of cattle, 288 must be subtracted from the new , higher number, 360. The result should then be divided by the original number. (360-288)/288 = x 72/288 =x 0.25=x 25%

What is the quotient of 5/3 ÷ 4/15?

25/4 ; 6 1/4

What is 16^2?

256

25 gallons are 5% of how many gallons?

25=0.05x 25/0.05 0.05x/0.05 x=500

Simplify the expression (5x - 4) (5x + 4)

25x^2 - 16

If 55 acres of land yield 1,430 bushels of wheat, what is the constant of proportionality of bushels/acres?

26 1430/55= 26 bushels/acre

30 is what percent of 110?

27.27%

A coin is 1/5 zinc, 1/10 manganese, and 1/40 copper. The rest of the coin is nickel. What is the fraction and percent of nickel?

27/40 ; 67.5%

A company produces rectangular cookie boxes. Which of the following is the estimated volume of a box with a length of 8.8 cm, a height of 10.1, and a width of 3.3cm, if each demension is rounded to the nearest centimeter?

270cm³ The results from correctly rounding each dimension of the box and using the volume which is length * width * height for a rectangular prism: 9 cm * 3 cm * 10 cm=270cm³

The cost of items before tax is $42.20. How much tax will be paid if the tax is $0.065 per dollar? (round to the nearest cent)

274 cents

1 oz. = ? g

28 g

There are 170 calories in 12 oz can of orange soft drink. Which of the following is the amount of calories in a 20 oz bottle of the same soft drink?

283 calories 170c/12oz = x/20 cross 12x/12 = 3,400/12 = 283 calories

What is 17^2?

289

Simplify the expression (24x^2y -6xy + 12xy^2 - 4) ÷ (12xy)

2x - 1/2 + 1y - 1/3xy

2x-3 = 3 Solve the equation above. What is the value of x?

2x-3=3 2x-3+3=3+3 2x=6 2x/2 6/2 x=3 2x-3=-3 2x-3+3 = -3+3 2x=0 x=0

What is the mode of the following series of numbers? 3, 15, 9, 17, 14, 8, 3, 25, 10, 22

3 The number 3 occurs twice, so it is the mode, because it occurs more often than any other number in the list.

Convert 319% to a fraction and decimal.

3 19/100 ; 3.19

6x - 15

3(2x - 5)

6x + 15

3(x + 2) + 3(x + 3)

Estimate the following numbers by the nearest hundreds: 3,785; 4,651; 3,278; 5,964

3,800+4700+3,300+6,000 3,800+4700 8,500 3,300 + 6,000 8,500+9,300 17,800

If $1 US is equivalent to about 6.56 Chinese yuan. A two-bedroom presidental suite on the top floor of a high-end hotel in Shanghai, China was listed at 25,000 yuan per night. What is the cost of this suite per night in US dollars?

3,810.98 Given x equals the prices per night in US dollars: 25,000/25,000=1/6.56 25,000/6.56 x=3,810.98

convert 3 2/5 to decimal and then to a percent

3.4 ----->340%

1 gal. = ? L

3.785 L

Which fraction is greater: 2/3 or 3/4?

3/4

60% to fraction

3/5

Arrange from least to greatest: 2/3, 3/5, 67/100?

3/5, 2/3, 67/100

A club has 9 male and 21 female members. What is the ratio of male to female members in the club?

3/7

Some one needs 4 gallons of punch, 3 gallons of lemonade, and 2 gallons of tea to serve 72 people. How many gallons are needed to serve 240 people?

30 gallons

1 oz. = ? mL

30 mL

25% of what number is 8?

32

What is 18^2?

324

If John can travel 130 miles in 2 hours, how far an he travel in 5 hours at the same speed?

325 miles

There is an 8.75% sales tax on shirt that costs $30. Which of the following is the correct estimate of the final sale price after tax is added? (Round to the nearest dollar)

33 Find 8.75% of 30 and add the amount to 30 0.0875*30=2.625 2.625+30=32.625----> rounds to 33

Simplify the expression 2 5/8 x 3 1/7 into an improper fraction and a mixed number.

33/4 ; 8 1/4

The number of bushels (B) of a crop varies directly as a number of acres (A) of the field in which it was planted. A 3.5-acre plot of land produces 121 bushels of crop. Which of the following is the equation of variation? 121=3.5k 121/3.5 k= 34.57

34.57 121=3.5k 121/3.5 k= 34.57

Solve for x: 10x = 360

36

What is 30% of 120?

36

What is 6^2?

36

What is the mean of the following numbers: 22, 15, 17, 65, 75, 23

36.17 (22+15+17+65+75+23)/6=217/6=36.17

What is 19^2?

361

Convert the decimal to a percent: 0.384

38.4%

1 m = ? in.

39.37 in.

3x-{2x-[x-(5x+6)]}= x-2 Solve the equation above. What is the value of x?

3x-{2x-[x-(5x+6)]}=x-2 3x-{2x-[x-5x-6]}=x-2 change x signs in parentheses 3x-{2x-[4x-6]}=x-2 3x- {2x+4x+6}=x-2 3x-{6x-6}=x-2 3x-6x-6=x-2 -3x-6=x-2 -3x-6-x+6=x-2+x+6 -4x=4 x=-1

What is 2^2?

4

The success rate for a salesperson is one out of eight calls. At this rate, how many sales would a salesperson expect to get out of 32 calls?

4 1/8 = x/32 cross multiply 32/8 = 8x/8 x=4

1 gal. = ? qt

4 qt

What percent of 250 is 10?

4%

A drink recipe calls for 2 L pink lemonade, 1 L cranberry juice, and 1.5 L lemon-lime soda. How many mL of the drink would this recipe make once the three liquids are mixed together?

4, 500mL This is the result of correctly finding the sum of all liquids in the drink recipe, then using the correct conversion rate from L to mL: 1,000mL = 1L

Which fraction is greater 5/9 or 4/7?

4/7

80 is what percent of 200

40%

At a hospital, 40% of nurses work in labor and delivery. If 20 nurses work in labor and delivery, how many nurses work at the hospital?

40% x n = 20 n= 50 nurses

What is 20^2?

400

Which of the following estimates the answer to 418.6 * 3.879 --------------- 53.7

419 * 4 -------- 54

Micah spends 17 hours in a 2 week period practicing piano. At this rate, how many hours will he practice in 5 weeks?

42.5 hours Steps: - 17 divided by 2 = 8.5 hours per week - multiply 8.5 by 5

A company found an average of five defective televisions for every 1,000 checked. If the company produced 85,000 in 1 year, how many of them would be expected to defective?

425 5/1000 = x/85,000 1000x/1000 = 425,000/1000 x=425

Simplify the expression (24÷3) x 5 - 6 + 2 x 7 -3.

45

An amount goes up from 20 to 45. What is the % increase?

45-20=25; 25/20=1.25; 1.25*100=125 (125%)

Round 47.38 to the nearest tenths.

47.4 Round to the nearest *tenth* not nearest whole number

What is the product of 6.3 and 7.6?

47.88

How many ounces are in 3 pounds?

48 oz.

Estimate the product of 76,899 x 634 ≈

48,000,000

What is 7^2?

49

Thirty less than four times a number is greater than two

4n - 30 > 2

What is the correct symbolic representation from: Thirty less than four times a number is greater than two

4n - 30 > 2

What is V in roman numerals?

5

what is the GCF of 35 and 15

5

Which of the following is the correct value of 15 + 2 * 5 ---------- 11 - 24 / 4 A. 21 B. 5 C. aprox. 9.9

5 Steps: 1. simplify numerator 2. simplify denominator 3. divide

1 tsp. = ? mL

5 mL

How many quarts are in 20 cups?

5 qt

What is the sum of the values below? 413.403, 4.12356, 4193.48, 95.631, 4.1284, 786.47

5, 497.23596

How many miligrams are in 5 g?

5,000 mg

1 mi = ? ft

5,280 ft

Sarah wants to put a 1.5 foot-wide painting in the middle of a 12-foot wide wall. She wants the painting to be exactly horizontally centered on a wall. What should the distance be, in feet, from either side of the wall to the edge of the painting?

5.25 Note that the distance from either side of the painting will be the same, so let x equal that distance. Then the distance from the left side of the wall to the paintings x feet, the distance across the painting horizontally is 1.5 feet, and the distance from the painting from the right side of the wall is x feet. Altogether, they add up to the width of the wall, 12 feet. We put this in mathematical form and solve: x+1.5+x=12 2x+1.5=12 2x=10.5 x=5.25

Convert the fraction into a decimal: 5 2/7

5.2875

Place the following values in decreasing order -12, radical 7, 5.3 (three with line over it), -7/3, -radical 14, 4 2/3

5.3 (three with line over it), 4 2/3, radical 7, -7/3, - radical 14, -12

Which of the following lists the values below in decreasing order? -12, √7, 5.3, -7/3, -√14, 4 2/3

5.3, 4 2/3, √7, -7/3, -√14, -12

125% to fraction

5/4

Order from least to greatest: 11/5, 5/9, 4/7, 8/3

5/9, 4/7, 11/5, 8/3 Convert to decimals to help

What # is L in roman numerals?

50

Estimate the following sum with front-end estimation: 56+49+21+36+16

50+40+20+30+10 90+50+10 140+10 150

An amount of 50 decreases by 5. What is the % decrease?

50-5=45; 45/50=0.9; 0.9*100=90; 100-90=10 (10%)

What # is D in roman numerals?

500

Convert the decimal into a fraction: 0.516

516 ----- 1000

What # is DLIV?

554

The Boeing 707 was Boeing's first jet airliner and was produced beginning in 1958. It covered 2,280 miles in 4 hr, on average. What was its average speed (its average unit rate)? A. 570 mph B. 9,120 mph C. 0.0018 mph D. 176.75 mph

570 mph

3/8 + 5/6=

58/48

The sum of two unequal numbers is 72, and their difference is 46. What are the two numbers?

59, 13

Simplify the expression (6x^2 - 5x + 8) - (x^2 +7x -1)

5x^2 - 12x +9

Estimate the following sum with front-end estimation: 6,835+ 7,867+392+8,437+24+6,174 + 5,762+8,600+439+3764+158+99. Use an adjustment with the hundreds place front ends.

6,800+7,800+8,400+6,100+5,700+ 8,600,3,700----> 47,100 300+400+100----> 800 47,900 (A)

If a circular pizza is divided into 11 equal slices and you take five slices, what fractional part of the pizza is left?

6/11 5 slices have been taken leaving 11-5=6 slices. There is 6 out of 11 slices left, or 6/11 left of the pizza left.

0.24 to a fraction

6/25

18 student who received an A made up 30% of the class. Find the total number of students.

60 students

Convert 24.36% into a simplified fraction.

609/2500 Steps: 1) 24.36/100 2) get rid of the decimal = 2436/10000 3) simplify = 609/2500

1250 student enrolled in 50 sections of algebra last year. This year, 1550 students will enroll. If the number of students per section does not change, how many sections will need to be offered?

62 sections

Convert 5/8 to a percent.

62.5%

What is the approximate % of 5/8?

62.5%

What is 8^2?

64

George wants to use square pavers that are 6 inches on each side to completely surround his flower garden. The garden is 12 feet long and 3 feet wide. How many pavers should George buy?

64 pavers

A meteoroid travels at a speed of about 45,000 mph. What is the meteoroid's speed in feet per second? (1 mi= 5280 and 1 hr=3600

66,000 45,000 mi/hr* 1 hr/3600 sec * 5,280 ft/mi

A meteoroid travels at a speed of about 45,000 mph. What is the meteoroid's speed in feet per second? (1 mi = 5,280 feet and 1 hr = 3,600 seconds)

66,000 feet/seconds

Convert 0.681 to a percent and fraction

68.1% ; 681/1,000

Simplify the expression (3x - 1) (2x + 5)

6x^2 + 13x - 5

3 (5-2x)=7-2(x+3)

7/2

Solve for x: 3(5-2x)= 7- 2(x+3)

7/2

What is the quotient of 4 2/3 ÷ 6?

7/9

What is the approximate % of 8/11?

72%

15% of 500 is what number?

75

Convert 3/4 to a percent and decimal.

75% ; 0.75

What is 4 1/4% of 200?

8.5

divide 2/3 by 2/4

8/9

Two trees in Abby's backyards. One tree is 20 feet tall and casts a shadow 8 feet long. If the second tree shadow at the same time of the day is 32 feet long, how tall is the 2nd tree?

80 ft Let x be the height of the tree then: x/32 = 20/8 cross multiply 8x/8=640/8 x=80

Convert 4/5 to a percent

80% 1) divide 4/5 = 0.80 2) 80/100

What is 9^2?

81

Which of the following fractions is equivalent to 83.1%? A. 831 / 1000 B. 83.1 / 10 C. 831 / 10 D. 0.831

831 / 1000 Steps: - turn percent into decimal (0.831) - count how many places behind decimal (3 = 1000th place) - turn into fraction = answer

A student has 32 sheets of paper remaining in his 200 page notebook. What percentage of the paper has he used?

84% This results from subtracting the unused pages in the notebook, 32, from the total number of pages, 200, and dividing the result by 200. 200-32=168 168/200=0.84 0.84*100=84%

What is 3^2?

9

On a model of our solar system, every 1 inch represents 100,000 miles. If the actual distance from the sun and is 93,000,000 miles. How many inches does this represent on the model?

930 in.

The local forecast indicates that tomorrow's temperature will be 35 degrees Celsius. What is the approximate equivalent in degrees of Fahrenheit?

95 degrees Fahreneheit

On a map, 1 inch represents 15 miles. The desired distance measures 6.5 inches on the map. What is the distance on the actual ground?

97.5 mi

Jason scored 75, 99, 87, 89, and 91 on his class tests so far. What is the lowest score Jason needs to get on his next test to have an average test score of at least 90 in his class?

99 Let x be the minimum score Jason needs, Take the mean of the scores he has received so far along with x, set it equal to 90 and then solve for x: (75+99+87+89+91+x=6(90) 441+x=6(90) 441x=540 441x/441 =540/441 x=99

Less than

<

Greater than

>

composite number

A number with more than two factors

While shopping, you find a shirt that is marked 30% off. If the regular price is $45, which of the following is the reduced price? A. $13.50 B. $15 C. $31.50 D. $33.75

A. $13.50 Steps: - Multiply 45 by .30

An entrepreneur sells 1/2 of her company to one buyer and 1/6 to another buyer. What percent of the company does she have left? A. 33 1/3% B. 8 1/3% C. 92% D. 66 2/3$

A. 33 1/3 First, find the percent sold to each buyer: 1/2 = 50% 1/6 = 16 2/3% Then, add these figures to find the total percent of the company that was sold (x): x = 50% + 16 2/3% x = 50% + 16% = 2/3% x = 66 2/3% Then, subtract from 100% to find the percent left (y): y = 100% = 66 2/3% y = 100% - (66% + 2/3%) y = 100% - 66% - 2/3% y = 34% - 2/3%

Area formula: Triangle

A= 1/2 x b × h example: base= 5in, height= 4in A= 1/2 × 5 × 4= 10in²

Area formula: Rhombus

A= 1/2 × d1 × d2 example: diagonal 1= 3cm, diagonal 2 = 4cm A= 1/2 × 3 × 4= 6cm

Area formula: Trapezoid

A= 1/2 × h × (b1 x b2) example: height= 6in, base1= 6in, base2= 9in A= 1/2 × 6 × (9 × 6)= 45in²

Area formula: Square

A= L x L= L² example: Length= 3cm A= 3 x 3= 9cm²

What is the dependent and independent variable: A person exercises to control their blood pressure.

Blood pressure is the dependent variable. Exercising is the independent variable.

How do you reconcile an account?

Add credits and interest to previous balance. Subtract debits and service charge.

Constant of Proportionality

Also known as *Rate of Change* Ratio between two quantities ~Y=k*x (k is constant, y and X are direct proportion) ~One variable is always the product of the other and a constant, the two are said to be directly proportional.

What is a Real number?

Any number on a number line as a rational and irrational number.

Three students have circular pizza divided into 11 splices of equal size, If they each eat one slice, what fraction of the pizza has been eaten? A. 8/11 B. 3/11 C. 3/8 D. 5/8

B. 3/11 The number of slices eaten should be in the numerator, and the total number of slices should be in the denominator. 8/11 is the fraction of the pizza that has not been eaten.

Which of the following is an expression to compare 8.33 and 8 2/3 ? A. 8.33 > 8 2/3 B. 8 2/3 >- 8.33 C. 8.33 = 8 2/3 D. 8 2/3 <- 8.33

B. 8 2/3 >- 8.33

Which of the following is a expression to compare 8.33 and 8 2/3? A. 8.33 > 8 2/3 B. 8 2/3 > 8.33 C. 8.33 = 8 2/3 D. 8 2/3 >_ 8.33 note: >_ is meaning greater than or equal to

B. 8 2/3 is greater than 8.33

A bivariate data set is graphed on a scatter plot. As the independent variables increases, the dependent variables decreases. Which of the following types of correlation, if any, exists between the variables? A. Positive B. Negative C. Positive and negative D. No correlation

B. Negative correlation

Rational Numbers can be represented by?

By *fractions* Includes: Whole Numbers, Positives/Negatives, Zero, and all decimals that either terminate or repeat. ~Irrational numbers will not concern us at this point

Choose all numbers that have an absolute value of 0.6: a. -60 b. 1/6 c. -0.6 d. 0.6

C & D

A parent plans to divide 8/9 of $27 equally among his four children. How much money will each child receive? A. $6.75 B. $24 C. $6 D. $96

C. $6 Each child will receive 1/4 of 8/9 of $27: 1/4 x 8/9 x $27 =$6 1/4= 0.25 8/9= 0.888 0.25 x 0.888 x 27 = 5.996 --> $6

Tom is saving money to go to a concert. From his part-time job, he is able to save $18.50 per week. His older bro gave him $25 to start with. If W= number of weeks, which of the following expressions represents the number of weeks until Tom has saved at least $235? A. 8.50W + 25 = 235 B. (25 + 18.50)W >- 235 C. 12.50W + 25 >- 235 D. 12.50W + 25 < 235

C. 12.50W + 25 >- 235

What is 369 in roman numbers?

CCCLXIX

What is 268 in roman numbers?

CCLXVIII

What is 217 in roman numbers?

CCXVII

What is 134 in roman numbers?

CXXXIV

The ratio between two quantities.

Constant of proportionality

Which of the following fractions represents 5.75 written in simplified fraction form? A. 575/100 B. 5 7/10 C. 4/23 D. 5 3/4

D. 5 3/4

Which of the following is 25% of 680 pounds? A. 1,700 pounds B. 510 pounds C. 68 pounds D. 710 pounds

D. 710 pounds Steps: - multiply .25 by 680 OR - multiply 25 by 680 - divide by 100

Constant Variation

D=kt

What is 647 in roman numbers?

DCXLVII

What is 536 in roman numbers?

DXXXVI

Negative Correlation

Dependent variable decreases as independent variable increases

Positive Correlation

Dependent variable increases as independent variable increase.

How do you determine take home pay?

Determine salary by multiplying hourly pay by days worked. Then, subtract the deductions.

Convert percent to decimal by

Divide by 100 then move decimal two places to the left.

Fraction Convert to Decimal

Divide numerator by denominator

=

Equal, equal to, is, was, were, will be, yields, becomes

20

Evaluate the expression when a = 2 and b = 8: 2a + 2b

Farenheit to Celsius

F=9/5(C)+32

Find the least common denominator of 1/2, 1/3, 1/4, 1/5

Find multiples of each denominator 60

Estimate the total of the following numbers by clustering: 735; 872: 659: 738; 684

Find what each digit is closest to and multiply it by the number of digits clustering: 700*5=3500

%=P/W when...

Finding the percent of some number another number is Ex: What percentage of 40 is 8?

W= P/%

Finding what number another number is given percentage of Ex: what is 8 20% of?

>, _>_

Greater than, IS more than Greater than or equal to, is at least, is no less than

A shopper receives 25% off his total purchase, resulting in a discount of $2.25. What was the original purchase price?

If x is the purchase price, then: 25%x= $2.25 0.25x=$2.25 x=$2.25/0.25 x=$9

Erroneous

Incorrect

Extraneous

Irrelevant

What 77 is in roman numbers?

LXXVII

<, _<_

Less than, IS fewer than Less than or equal to, is at most, is no more than

While watching a movie, the year the movie was made appears at the bottom of the screen: MCMLXVII

M is 1000, C is 100. Placing the C before the M indicates that the 1000 should be subtracted from the 1000. Therefore, MCM is 1900. The other Roman numerals should be added to discover the year. L is 50, X is 10, V is 5, and II is 2, which equals 67. The year is 1967.

What is 1072 in roman numbers?

MLXXII

What is 2133 in roman numbers?

MMCXXXIII

What is 3288 in roman numbers?

MMMCCLXXXVIII

How do you approximate a square root?

Memorize square roots up to 20. Find the product that is similar to the decimal form of the root number.

Which of the following is the appropriate prefix to measure the amount of space taken up by a penny?

Milli (The base unit for volume is a liter. A milliliter is 1/1000 of a litter.)

How do you find the area of a square/ rectangle?

Multiply length and width

Convert decimal to percent by

Multiplying by 100 then move decimal two places to the right.

A man's company makes drinking straws. Each straw weighs 1.2 grams. A box of 50 indicates it is 58.8 grams. Should he approve this box?

No, because the box should weigh 60 grams. Therefore, it is missing one straw.

Percent Decrease Equation

PD = original amount - new amount/ original amount X 100%

Order of operations

PEMDAS Please Excuse My Dear Aunt Sally. 1- Parenthesis 2- Exponents 3- Multiplication and Divison (left to right) 4- Addition and Substraction (left to right)

P=W X %

Part = Whole X Percent

percent increase/decrease

Percent Increase = original value-new value/original value x 100 Percent Decrease = new value-original value/original value x 100

Proportions

Ratio in fraction form set equal to another ratio in fraction form. ~Example: 50mi/1cm = X/12.6cm (cross multiply) -> 50mi*x*12.6cm/1cm=X*x*12.6cm/12.6cm (cancel out 12.6cm on Num. and Den.) -> 50mi*x*12.6cm/1cm (cancel out cm) = X -> 630mi = X

What do you do to estimate a product?

Round to the number so that there is only one non-zero number.

Translate Phrases and Sentences into Expressions, Equations, and Inequalities

Sentence Fragments become *Expression* and Full Sentences becomes *Equations and Inequalities*. -Examples: *Expressions:* 3x-5 , , y , 3(2x+7) *Equations:* 3x-5=70 , y=36 , 3(2x+7)=4x-9 *Inequalities:* x-5>70 , y<36 , 3(2x+7)_<_4x-9

15x

Simplify the expression: 12x + 7x - 4x

Terms Related to Operations

Sum (+) , Difference (-) , Product (x) , Quotient ( / ) , Per 100 (#% _<_ 100%), Is or Of (#% _>_ 100%)

What is the dependent and independent variable: A worker gets paid by the hour.

The amount of hours worked is the independent variable. The amount of money paid is the dependent variable.

What is the dependent and independent variable: What effect is the treatment having on the two groups

The effect of treatment is the dependent variable. The type of group is the independent variable.

12.50

The expression 12.50a represents the total cost for a, adults, to go to the movies. How much does it cost for an adult?

25

The expression 12.50a represents the total cost for a, adults, to go to the movies. How much does it cost for two adults?

greatest common factor (GCF)

The largest factor that two or more numbers have in common.

Absolute value

The numbers distance from 0 on a number line. It is alway positive. problems are written IxI

Prefixes used with SI units

The prefixes used to indicate magnitude of an SI Unit is based on factors of 10 and the decimal system. These same prefixes are used whether magnitude is being indicated for mass, length, or volume.

What is the dependent and independent variable: The amount of studying she did for the TEAS impacted her score on the test.

The score on the test is the dependent variable. The amount of studying is the independent variable.

least common multiple

The smallest multiple (other than zero) that two or more numbers have in common.

What are the variables and constants in the equation below? 3x - 6 = -5x + 8

Variables: - 3x - (-5x) Constants: - (-6) - 8

When is a number divisible by 3?

When the sum of its digits are divisible by 3.

Integers

Whole numbers and their opposites (. . . -3, -2, -1, 0, 1, 2, 3. . .)

Kilogram- kg (household approximation)

a 5 pound bag of sugar weighs just over 1kg

Irrational number

a number that cannot be expressed as terminating or repeating decimals.

Rate of change

a rate that describes how one quantity changes in relation to another.

Rate

a ratio that compares quantities of two units of measure

Sum refers to

addition

|8x - 3| + 4 > 2

all real numbers

What do you call the square root of any prime number?

an irrational number

rational numbers

any number that can be written as a fraction (1, 2, 3, 1/1, 2/1

irrational

cannot be written in a fraction or decimal because the number of decimals is indefinite (ex: 1.6666666666)

How do you convert a decimal to a percent?

decimal x 100 = ____%

How do you convert a fraction into a decimal?

divide the numerator by the denominator

Quotient refers to

division

Use P= W X % When...

finding what number is some percentage of a given number Ex: What number is 20% of 40?

What does erroneous mean?

incorrect

Metric system

international system of units based on powers of ten

What does extraneous mean?

irrelevant

The perimeter of a soccer field is 238m. The length is 36m greater than the width. What are the lengths and width of the soccer field?

length: 100m; width:64m 2l+2w=238 2(w+36)+2w=238 2w+72+2w=238 4w+72=238 4w=256 w=64 l=w+36 l=64+36=100

Product refers to

multiplication

Percent Change Formula

new-old/old x 100

Is 18,008,087,737 divisible by 3?

no

|3y - 2| + 5 ≤ 1

no soution

milli means

one-thousand of something

Percent means

per 100

How do you convert a percentage to a decimal?

percentage divided by 100

When am I not supposed to cross cancel?

ratios

Contextual

related to surrounding content

write number in words: 0.06 0.901

six hundredths nine hundred and one thousandths

Difference refers to

subtraction

Meter- m (household approximation)

the average adult is 1.5-2m tall

Kilometer-km (household approximation)

the average adult walks 1 km in about 15 minutes

A number is divisible by 4 if _________

the last two digits of that number is divisible by 4. Example: 516. The last two numbers are 16. 16 is divisble by 4. 16÷4=4; therefore, 516 is divisible by 4. 516÷4= 129

Percent decrease

the negative difference between two numbers, divided by the first number, multiplied by 100.

Percent increase

the positive difference between two numbers, divided by the first number, multiplied by 100.

real numbers

the set of all rational and irrational numbers

Gram- g (household approximation)

the weight of one asprin tablet

Centimeter- cm (household approximation)

the width of an average pinkie finger

How do you define rational numbers?

theses are numbers that we see every day, including decimals and fractions.

Milimeter- mm (household approximation)

thickness of a dime

What does this mean in a word problem - Sum

to add

What does this mean in a word problem - Quotient

to divide

Terminate

to end

What does this mean in a word problem - Product

to multiply

What does this mean in a word problem - Difference

to subtract

Solve the inequality. Solve for x: 2(-3 +3x) <3 -4(2x+1)

x < 5/14

Solve the equation x/4 - 1/6 = x/3 + 1

x = -14

Solve the equation x/6 - 1/3 = x/2 + 2/3

x = -3

Solve: 3x + 5 = 2x + 1

x = -4

What number is that which if increased by 20% of itself equals 48?

x+0.2x=48 1.2x=48 1.2x/1.2x =48/1.2 x=40

2(-3 + 3x) < 3 -4(2x+1)

x< 5/14 2(-3+ 3x) < 3-4(2x+1) -6 + 6x + 6 < 3 - 8x +6 6x< 5-8x 6x+8x<5-8x+8x 14x<5 x<5/14

|2x-3| = 3

x= 0, 3

Solve for x: | 2x- 3 | = 3

x= 0,3 The expression inside the absolute value bar should be set to both 3 and -3.

solve x. 5x+10=0

x=-2

45%/12% = 15%/x solve for x.

x=4%

Solve the equation 3(4y - 1) = 16y + 5

y = -2

|3y - 2| < 7

y = 3, -5/3

Linear equations

y = mx + b

Degrees Celsius -

zero is freezing ❄, 10 is not, 20 is warm and 30 is hot 🔥

What irrational number can be approximated by the number 3.3166?

√11 ≈ 3.32

Classify each as Rational, Irrational, or Real: √36, -√36, √37, 1/3, 0.6, 0.66^-, 0.7070007007...

√36= R -√36= R √37= Irr 1/3= R 0.6= R 0.66^-= R 0.7070007007...= Irr All are real

Trip is 1865 miles. Car gives 32 miles/gallon. Approximately how much gas are we going to consume?

≈58 gallons

Roman numeral c

100

A manufacturing plant turns 7500 concrete building blocks in 6 days. How large an order for concrete blocks can it fill in 20 days? A. 0.016 B. 900,000 C. 25,000 D. 150,000

C. 25,000- B=1250t, where B is the number of blocks and t is time in days

12

Identify the coefficient: 12x + 10

Which of the following graph types is appropriate to examine the relationship between the amount of fertilizer and the yield in a single graph?

Line graph

Inverse variation= people and time. (K is the constant)

P=k/t

As the number of hours a student studies increases, the student's test scores increases. Which of the following describes the correlation between the number of hours studied and the test score?

Positive correlation

4x + 18

Simplify the expression: 2 + 4(x + 4)

Deca

The base unit for volume is a liter. A decaliter is 10 liters.

Micro

The base unit for volume is a liter. A micro liter is 1/1,000,000 of a liter.

Convert 25% to a decimal. A. 0.25 B. 2500 C. .0025 D. 25

A. 0.25- move the decimal point two places to the left and drop the percent symbol

It takes 25 people 90 days to do a job. How may people can do that job in 15 days? A. 150 B. 4 C. 375 D. 375

A. 150 P=k/t 25=k/90 p=2250/t 2250/15

A wall outlet supplies 120 volts of electricity to a conductor; there is a current of 2.5 amperes. Which of the following is the resistance? A. 48 ohms B. 0.021 ohms C. 300 ohms D. 4.8 ohms

A. 48 ohms 120= 2.5r solve for r

A mill takes wheat from farms and uses it to make flour. The more wheat they use, the more flour they can produce. It takes 30 bushels of wheat to make 6 barrels of flour. How may bushels are needed to make 8 barrels of flour? A. 240 B. 40 C. 1.6 D. 48

B. 40 F=kW 6=k(30) F=0.2W 8=0.2W

A supply of oats will sustain four horses for 24 weeks. How many weeks will it last 12 horses? A. 72 B. 8 C. 2 D. 288

B. 8 T=k/H 24=k/4 T=96/H 96/12

If 10 people can build a boat in 12 days, how many days would it take 15 people to do the same work? A. 18 B. 180 C. 17 D. 8

D. 8 t=k/p 12=k/10 t=120/p 120/15

7

Identify the constant: 8x + 7

Associative

Identify the property: 1 + ( 2 + 3 ) = (1 + 2) + 3

Commutative

Identify the property: 2 + 3 = 3 + 2

Distributive

Identify the property: 2(x + 9) = 2x + 18

This pie chart shows primary modes of transportation in a certain city. What percent of the population represented in this graph primarily use wheeled vehicles for transportation?

Motorcycle - 25% Bicycle - 22% Car - 10% 57% Yes - The wheeled vehicles are motorcycles, bicycles, and cars: 25% + 22% + 10% = 57% 43% No - This is the percentage who do not primarily use wheeled vehicles. 10% No - A "wheeled vehicle" can be motorized, like a car, or pedaled, like a bicycle. 35% No - Bicycles are also considered wheeled vehicles

4x - 10

Simplify the expression: 2(2x - 5)

17-6x > 4x-10

x> 27/10

Five friends are comparing the number of friends they have on social media sites. Which of the following observations is true?

Alice say, "I'm gald you're all my friends on Snapchat." No - Only Alice and Eve have Snapchat accounts. Betty says, "There is only one thing missing on this chart; a good title." Yes - Graphs and chart should have titles so readers quickly know what they represent. Cathy says, "I have the most friends. Look at my Facebook account." No - Cathy needs to look at the totals for all sites, not just Facebook, to see who has the most friends. Dave says, "I'm disappointed. I only have 5 friends on Facebook." No - Dave should look at the scale on the y-axis. The scale is by tens. The 5 represents 50 friends.

Convert 1,775 to Roman Numerals

M = 1000 D = 500 C = 100 L = 50 X = 10 V = 5 MDCCLXXV Yes - This is 1,000 + 500 + 100 + 100 + 50 + 10 + 10 + 5 = 1,775 MCCCMLXXV No - 700 is DCC, not CCCM MDCCXXXCV No - 70 is LXX no XXXC DDDCMVV No - Please review the section on Roman numerals.

4x - 14

Simplify the expression: 2(2x - 7)

Yards and miles

These are not part of SI units

Drinking lemonade

This is the independent variable

What does of mean in a word problem

multiply

Students are designing an experiment to test the effect of drinking lemonade on the number of sit-ups they are able to perform. Which of the following is the dependent variable?

number of sit-ups (drinking lemonade is the independent variable)

28

Evaluate the expression when a = 7 and b = 4: ab

6.8x + 18

Simplify the expression: 2(3.4x + 9)

The line graph shows ratings of a television show from January- June 2008. What is the average rate of change in number of viewers over time from January to June?

0.68 million viewers/month

1 oz is about 30 cc. Convert 16 oz to cc.

1.875 No - Do not divide 30 by 16. 46 No - Do not add 16 and 30 480 Yes - 16 * 30 = 480 0.533 No - Do not divide 16 by 30.

5,280 ft equal 1 mi. Use dimensional analysis to convert 70 mph to feet per second.

102.67 Yes - (70 miles/hr)(5,280 ft/mile)(1 hr/3,600 secon) 47.73 No - Units are not placed correctly in the factors of 1. 1,330,560,000 No - Do not multiply 5,280, 70 and 3,600. 0.021 No - Do not divide by 70.

Harold is 9 years old, and Arthur is 4 years younger. In how many years will Arthur be 25 years old?

12 No - Subtract; Do not Add 20 Yes - Use subtraction to find Arthur's age now, and subtract that from 25. 16 No - This would be the answer for Harold. 25 No - Please review the section on real-world problems.

The sum of two unequal numbers is 20,560. The smaller number is 3,745. What is the larger number?

16,815

Which is the least common denominator of the following fractions? 2/9 1/2 2/3

18

A 45-acre farm produced 255 bushels of wheat in 1 year. Use dimensional analysis to convert this rate to liters of wheat per square meter of land. (1 acre = 4,046.825 m^2; 1 bushel = 35.23907 L)

20.27 No - This is the rate m^2 per L. 99.9 No - Do not multiply by 45. 0.05 Yes - (255 bushels/45 acres)(1 acre/4046.825 m^2)(35.23907 L/bushel) 808,102.6 No - Do not multiply by 4,046.825.

Solve: 3/5x-2 = x + 1/3

35/6- common denominator is 15

In 2.5 days, a paper mill produced 43.75 tons of paper. How many pounds of paper did it make per hour?

9,114.6 No - Do not multiply by 2.5 1,458.33 Yes - (43.75 T/2.5 days)(2,000 lb/T)(1 day/24 hr) 840,000 No - Do not multiply by. 0.0007 No - This is the rate in hours per pound.

Multiply the sum of 83 and 74 by their difference, and divide the product by 15.

94.2 Yes - This is (83 + 74) * (83 - 74)/15. 10.47 No - This is (83 + 74)/15, which is incorrect. 0.6 No - This is (83 - 74)/15, which is incorrect. 409.47 No - This is (83 * 74)/15, which is incorrect.

Which of following statements is true about understanding magnitude when describing relationship?

A micrometer is smaller than centimeter, and a centimeter is smaller than a kilometer.

Convert DCCCLX into Arabic numerals.

D = 500 C = 100 L = 50 X = 10 500 + 100 + 100 + 100 + 50 + 10 = 860 1,360 No - D is 500, not 1,000 760 No - CCC is 300, not 200. 860 Yes - This is 500 + 100 + 100 + 100 + 50 + 10 122 No - Please review the section on Roman numerals.

The number N of computers owned varies directly as the number of people owing them. If 125 people own 157 computers, how many computers are owned in a city with a population of 112,340 people A. 17,637,380 B. 716 C. 141,131 D. 141,099

D. 141,099- N=kp 157=k(125) N=1.256P 1.256(112,340)

Convert 21.72 to fractional from A. 21.72/100 B. 21 72/100 C. 21/72 D. 2172/100

D. 2172/100- Move the decimal point two places to the right to make a whole number, which becomes the numerator, then write a 1 followed by two zeros for the denominator

Drinking water

It would be a reasonable control in this experiment.

16

Evaluate the expression when a = 2 and b = 8: ab

10

Evaluate the expression when a = 2 and b = 8: a + b

8

Identify the coefficient: 8x + 7

10

Identify the constant: 12x + 10

x

Identify the variable: 8x + 7

Abbreviation for the SI

It is an abbreviation for the phrase International System of Units.

12x - 4

Simplify the expression: 2(6x - 2)

4x + 10

Simplify the expression: 2(x + 3) + 2(x + 2)

6.2x + 18

Simplify the expression: 2.5x + 9 + 3.7x + 9

8x + 31

Simplify the expression: 3 + 4(2x + 7)

21x - 24

Simplify the expression: 3(7x - 8)

15x + 25

Simplify the expression: 5(2 + 3x + 3)

15x - 25

Simplify the expression: 5(3x - 5)

8x + 32

Simplify the expression: 5x + 15 + 3x + 17

21x + 56

Simplify the expression: 7(3x + 8)

21x + 56

Simplify the expression: 8(2x + 7) + 5x

12x + 4

Simplify the expression: 8x + 12 - 8 + 4x

14

Simplify the expression: 8x + 7x - 15x + 14

12x + 54

Simplify the expression: 9(x + 6) + 3x

11x + 13

Simplify the expression: 9x + 18 - 5 + 2x

8x

Simplify the expression: 9x + 4x - 5x

Plot graph

This information would be seen on a graph that plots temperature and energy change, rather than temperature, pressure, and substance phases.

Antibody-mediated immunity

it is a defense that employs B-cells to create antibodies that tag pathogens for later destruction.