TEAS Math Section Ch.1

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

20 years

Having drawn out 7 gallons from a barrel of water, I find there are 28 gallons remaining. What percent of the whole did I draw?

20%

Find 28% of 7500 packages of plastic forceps.

21000

Convert 21.72 to fractional form

2172/100

A cat owner gets a vitamin prescription from his vet, that lists the dosage as 5mL twice a day. The bottle contains 300 cc. How many days will the bottle last? (1cc=1mL)

30 days

convert .36 to fraction form

36/100

Convert .384 to a fraction

38.4%

Sue decides to collect post cards. She starts her collection with 7 cards. Every week, she buys 3 more cards to add to her collection. Write an inequality that would allow her to find out how many weeks until she has more than 30 cards.

3w + 7 < 30

Round to the ones place: 4 2/7

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 sales

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

42.5 hours

A company found an average of five defective televisions for every 1000 checked. If the company produced 85000 television in 1 year, how many of them would be expected to be defective?

425 defective

An intravenous (IV) medication for a patient calls for 550ml of medication over 3 hr at a drop rate of 15 gtt/mL. ("gtt means drops, from Latin guttae, meaning drops.) What is the drop rate in gtt/min?

45.83 gtt/min

Round 47.38 to the nearest tenths.

47.4

Estimate the following sum with front-end estimation: 6835 + 7867 + 392 + 8437 + 24 + 6174 +5762 + 8600 + 439 + 3764 + 158 + 99

47900

Estimate the following difference by using front-end estimation: 85,374 - 35,805

49,500 80000-30000= 50000 5000-5000 =0 300-800= -500 -500

Round to the ones place: 14/3 = 4 2/3

5

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

5/9, 4/7, 11/5, 8/3

Use compatible numbers to estimate 4,373/77

50 4000/80

25 gallons is 5% of how many gallons?

500

round to hundredths 6.008

6.01

Find the least common denominator of 1/2, 1/2, 1/4, 1/5 A) 120 B) 240 C) 14 D)60

60

It is 18 degrees C at a cafe in Paris. What is the temperature in degrees Fahrenheit? (To convert F to C, use the formula F=1.8C +32.)

64.4 degrees

What is 11% of 72?

7.92

change the form but not the value of 7/10 so that is has a denominator of 160

7/10= 7/10 x 1 = 7/10 x 16/16 = 112/160

Estimate the following sum by using the front-end estimation: 4,720 + 1429 + 914

7000 4000 + 1000 = 5000 700 + 400+ 900= 2000

I bought a computer for $1750 and sold it for $500. What is my loss in percent?

71.43%

Divide 452.92 by .052

8710 do division as if they were whole numbers

round to the hundredths 99.473

99.47

round to the tenths 99.473

99.5

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

A) 831/1000

convert 1,775 to roman numerals. A) MDCCLXXV B) MCCMLXXV C) DDDCMVV D)MDCCXXXCV

A) MDCCLXXV

Given the equation 2x-3=5x+4, which of the following is an acceptable first step toward solving the equation? A) Subtract 3 from both sides of the equation B) Add 4 to both sides of the equation C) Subtract 2x from both sides of the equation D) Add 5x to both sides of the equation

C) Subtract 2x from both sides of the equation

While shopping, you find a shirt that is marked 30% off. If the regular price is $45, what is the reduced price?

$31.50

Name the hundredths digit in 9643.0175

1

Round to the ones place: 5/8

1

round to the ones 17/33

1

1 cc/cubic centimeter = _____

1 mL

What are the four rules of translation when using algebra to solve percentage problems?

1) "of" means "times" or x 2) "what" translates to a variable 3) "is" means "equals" or = 4) "%" means "x 0.01"

Convert 138% to decimal

1.38

round to the hundreds 99.473

100

One Liter contains ______________ milliliters or 1000 _____ centimeters.

1000 mililiters or 1000 cubic centimeters

The sum of two consecutive integers is 305. What are the two original integers?

152, 153 x+ (x+ 1) = 305

What is 25% of 680 pounds?

170 pounds

Estimate the sum of the following numbers by rounding to the nearest hundreds: 3785; 4651; 3278; 5964

17800

Round to Tenths 19.796

19.8

round to hundredths 19.796

19.80

(12-2) / (11-6)

2

From 246.7235, take 27.8726 A) -218.8509 B) 218.8519 C) 208.7510 D) 218.8509

D) 218.8509

What number is that which if increased by 20% of itself equals 48? A) 240 B) 2.4 C) 960 D) 40

D) 40

mixed number

a number formed by an integer and a fraction ex: 1 1/2

direct proportion

a relationship in which the ratio of two variables is constant

3 is 26% of what?

about 11.538

What percent of 49 is 7.6?

about 15.51

A formula specifies that 41 capsules contains 350 mg of a medication. How many milligrams would you need to make 24 capsules, using this formula?

about 204.9

A family bought a house for $355,000 and sold it later for $275,000. What was the percent loss?

about 22.54%

If a 4 lb sugar costs $2.59, how much should 5 lb sugar cost?

x= $3.24

Solve. !-2x+3!= 4

x= -1/2, 7/2

Seven less than two time a number is five more than eleven times the same number. What is the number?

x= -12/9 = -4/3

solve. 3/4= -5/8x

x= -6/5

solve: x-5=-12

x= -7

Solve. x+7=-3x

x= -7/4

Name the denominator of 33/21

21

A computer that is normally $1,259.95 is on sale at 16% off. What is the sale price?

$1,058.36

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

$1.50/gal

round to the tens 19.796

20

Convert 13/50 to a decimal

.26

Round to the ones place: 3/8

0

round to the ones 17/35

0

Convert 25% to a decimal

0.25

Write in increasing order: -5, 5 2/3, 5.523, -5.001

-5.001, -5, 5.523, 5 2/3

3 +2 x 6 -4

11

Roman Numerals (1,5,10,50, 100, 500, 1000)

I - 1 V - 5 X - 10 L - 50 C - 100 D - 500 M - 1000

Write in Roman numerals: 3,572

MMM= 3000 500= D 72+ LXXII MMMDLXXII

irrational numbers

Numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating.

Solve stating each step you take in relation to PEMDAS. (25-11) x 3= (25-11) x3

Perform operations in parenthesis first: (25-11) then multiply: 14x3 =42

What is 8 in Roman numerals?

VIII (5+1+1+1)

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

Estimate the sun of the following dollar amounts by rounding to the ones place: $15.73; $6.98; $5.18; $40.60; $5.89.

$75

Solve stating each step you take in relation to PEMDAS. 3+6 x (5 +4) /3-7

(5+4) Parenthesis 3+6 x (9) /3-7 6x9 Multiplication 3+ 54 /3-7 54/3 Division 3+ 18 -7 3+ 18 Addition 21-7 21-7 Subtraction 14

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

-10, -10.009, -10.01, -10.1

Order from least to greatest -2/3, 4 5/8, 2/17, .012

-2/3, .012, 2/17, 4 5/8

Three less than three times a number is three more than five times that same number. What is this number?

-3 3x-3=5x +3

Find the product of .275 times .17

.04675 do multiplication as if with whole numbers, and place the decimal point the total number of places in each factor. Add zeroes if necessary

Which of the following numbers is irrational? -5/4, 11.00023, 5.34343434..., .202002000200002....

.202002000200002....

Convert 1.07 to a fraction

107/100

simplify 121/110

11/10

Convert 1.22 to a fraction

122%

4+3 x (9-6)

13

Round to the ones place: 12 19/20

13

write a prime factorization of 144.

144= 2x2x2x2x3x3

Use dimensional analysis to convert 17 miles/hr to ft/min. (There are 5280 ft in 1 mile).

1496 ft/min

Estimate the following sum with front-end estimation: 56 + 49 + 17 + 21 + 36

150 50+40+10+20+30

6 x 5 + 4 /2 -2 +5

22

convert 2.36 to fraction form

236/100 (you can reduce)

A rancher bought 360 head of cattle; he had previously 288 head. By what percent did he increase his herd?

25%

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

25%

If 55 acres of land yield 1430 bushels of wheat, what is the constant of proportionality in bushels/acre?

26 bushels/acre

Estimate the following product by using front-end estimation: 47 x 583

27260 40 x 500= 20000 40 x 80 = 3200 7 x 500= 3500 7 x 80= 560

What is MMDCCLXIX

2769

Round to the tens 293

290

round to the hundreds 293

290

22% of 16 is what?

3.52

Divide . 15652 by .043

3.64

change the form but not the value of 3/4 so that is has a denominator of 16

3/4=3/4 x 1 = 3/4 x 4/4 = 12/16

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

3500 numbers cluster around 700

round to the thousands 53,642

54000

round to the tenths 57.44445

57.4

The distance traveled between two cities is 1,080 miles. After 45% of the distance is traveled, how much of the distance remains to be traveled?

594 miles

Round to the ones place: 17/3

6

prime number

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

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. 18.50W + 25 = 235 B. (25 + 18.50)W >- 235 C. 18.50W + 25 >- 235 D. 18.50W + 25 < 235

C. 18.50W + 25 >- 235

Mary wants to take a taxi to a restaurant. She has only $20 for a taxi ride, plus some change in her purse for the driver's tip. The taxi company charges $2.75 to get in the taxi, plus $1.25 per mile. If M= miles to a restaurant, which of the following expressions represents the max distance to a restaurant that Mary can afford? A) 1.25M < 20 B) 2.75 + 1.25M > 20 C) (2.75 + 1.25)M -< 20 D) . 2.75 + 1.25M <- 20

D) . 2.75 + 1.25M <- 20

Carl is thinking about retiring to either Flagstaff or Phoenix, Arizona. He reads in a newspaper that Phoenix has an average of 4,041 hours of sunlight per year out of a possible 4380 hours (12 hours per day times 365 days per year). Flagstaff has an average of 10 hours and 58 minutes per day. Carl loves sunshine and wants to retire where he will have the most sunshine every day. Which of the following expressions helps Carl decide where to retire? A) 4041 hours is more than 10 hours, 58 minutes so pick Phoenix B) 4380/4041 hours equal 1.08 C) 4041/4380 hours D)4041/365 = 11.07 hours/day. 11.07 hours equals about 11 hours and 4 minutes per day. Thus Phoenix gets more sunlight than Flagstaff so Carl should pick Phoenix

D) 4041/365 = 11.07 hours/day. 11.07 hours equals about 11 hours and 4 minutes per day. Thus Phoenix gets more sunlight than Flagstaff so Carl should pick Phoenix

Karla's Grocery bought 100 dozen eggs at $1.15 a dozen but 20 dozen were broken in transportation. The grocery sold the remainder at $4.49 a dozen. What did Karla's Grocery gain on the investment in percent?

about 212.35%

Using dimensional analysis convert 10 mile/hr to m/second. Note that 1 mile is about 1.61 km, 1 km=1000m, 1 hr =60min, and 1 min= 60 seconds.

about 4.47 m/sec

A client needs 700 mL of a medication over a 4hr period at a rate of 20 gtt/mL. What is the drop rate in gtt/min?

about 58.33 gtt/min

A farmer raised 112 bushels of wheat and 179 bushels of rye. What percentage more rye than wheat did he have?

about 59.82% more

Volume is measured in ____ units

cubic

When rounding fractions to the ones place, if the numerator is __________ than or equal to half of the denominator, round up to the next whole number.

greater

The perimeter of a soccer field is 320 yards, and its length is 40 yards more than its width. What are its dimensions?

l= 100 yard w= 60 yards

A regulation of the NFL football field is a rectangle with a perimeter of 1040 ft. Its length is 200 feet greater than its width. What are its length and width?

l= 360 w=160

liquid volume is measured in

liters or milliliters

compatible numbers

numbers that are easy to compute mentally ex: instead of 3155/7 we would divide 3500 by 7, or 3200 by 8, or 4000 by 8

constant of proportionality

the constant ratio in a proportional linear relationship in y= k + x, its k

Convert 145m/5 second to a unit rate

the unit rate is 29 seconds

Solve. 1/6x</= 3/4 +2/3x

x= -9/10

Solve. 2(4-5x)= 7-5(x-2)

x= -9/5

Solve. 3x=10

x= 10/3

Solve. 8/5x=6

x= 15/4

Solve: 5x=2

x= 2/5

Solve: x + 20 = 100

x= 80

Solve. x-17=3

x=20

Solve. x-5=32

x=37

Solve: 5x>11-2x

x> 11/7

Solve. 17.1-8.2y=-7.02

y= 603/205

Solve: !3x +1! =2

x=-1

Solve: 3x+5=2x+1

x=-4

Solve. 2.5x- 3.5 +5.1x= 3.0-1.7x

x=1.1017

Solve. 3x=13

x=13/3

Solve: 2/7x=4

x=14

list the numbers -2, -0.2, 2 2/10, 2

2 2/10, 2, -.2, -2

Absolute value equation with one variable results with... because you must change the sign of what it =s to

2 solutions ex: !x! = 3 means x=3 or x=-3

rational number

A number that can be written as a fraction

PEMDAS "Order of Operations"

the correct order in which to solve an equation: working left to right repeatedly: Parentheses, Exponents; then Multiplication or Division; then Addition or Subtraction.

change the form but not the value of -8/7 so that is has a denominator of 56

-8/7 = -8/7 x 1 = -8/7 x 8/8 = -64/56

Convert 73.7% to decimal

.737

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?

$2000 more

Solve stating each step you take in relation to PEMDAS. 6+ 7 x 8 = 6+ 7 x8

(multiply first (7x8)) =6+56 (then add) = 62

How is the number .00087 read?

eighty-seven hundred thousandths

erroneous

incorrect

extraneous

irrelevant

To read Roman Numerals, add the Roman numerals from ____ to ____.

left to right

what ways make it easier to order/compare fractions? (2)

make them decimal form find their least common denominator

least common number

smallest number that two or more numbers go into evenly

How is the number 3,452.68 read?

three thousand, four hundred fifty-two and sixty-eight hundredths

Solve. 16-5y </= 8y-2

y>/= 18/13 must switch signs when multiplying/dividing negative numbers

Convert 19/10 to a decimal

1.9

Simplify: 5/6 / 2/3

5/6 x 3/2 = 15/12 3x5/3x4 = 3/3 x 5/4= 1 x 5/4 5/4

Order least to greatest; 2/3, 3/4, 5/8

5/8, 2/3, 3/4

Compute 7 + 7 / 7 +7 x 7 -7

50

Convert .516 to a fraction

516/1000

find least common multiple of 12 and 270

540

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 2 pavers=1ft +4 for corners

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?

88 years

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

94.2

Add like terms: 3x-2y+5x-8y

=8x-10y

Which of the following percentages is equivalent to 8/5? A) 1.6% B) 160% C) .625% D) 62.5%

B) 160%

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 >/equal 8.33 C) 8.33 = 8 2/3 D) 8 2/3 </equal 8.33

B) 8 2/3 >/equal 8.33

prime factorization

Breaking down a composite number until all of the factors are prime

Find the sum of 413.403, 4.12356, 4193.48, 95.631, 4,1284, and 786.47. A) 54972.3596 B) 5497.23606 C) 5497.23596 D) 5497.33596

C) 5497.23596

If a circular pizza is divided into 11 equal slices and you take five slices, what fractional part of the pizza is left? A) 5/11 B) 5/6 C) 6/11 D) 1/2

C) 6/11 11-5=6, 6/11

convert DCCCLX into Arabic numerals. A) 1,360 B) 760 C) 860 D) 122

C) 860

Roman numerals (4,9)

IV IX

Solve stating each step you take in relation to PEMDAS. 16/8-2 = 16/8 -2

divide first: 16/8 then subtract: 2-2 =0