TEAS Test-Math

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

$1.50 75/50 = $1.50/gal

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

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

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

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

The number of bushels (B) of a crop varies 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

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

Round 47.38 to the nearest tenths.

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

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

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

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

50+40+20+30+10 90+50+10 140+10 250

A parent plans to divide 8/9 of $27 equally among his four children. How much money will each child receive?

Each child will receive 1/4 of 8/9 of $27: $27 * 0.8888=23.9976--> 24 $24/4 = $6

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=35,000

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?

First find the percentage 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 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% y=33% + 3/3% - 2/3% y=33% + 1/3% y= 33 1/3%

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.

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

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

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

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

0.202002000200002 irrational numbers never repeat

Convert 25% to a decimal

0.25 Move the decimal point two places to the left and drop the percent symbol

Name the hundredths digit of. 9643.0175

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

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

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

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.

Convert 21.72 to fractional form

2172/100 Move the decimal point two places to the right to make a whole number, which become the numerator, then put it over 100.

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%

25 gallons are 5% of how many gallons?

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

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

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

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

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

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

Three students have a circular pizza divided into 11 slices of equal size. If they each eat one slice, what fraction of pizza *has* been eaten?

3/11 If you are finding what fraction has not been eaten do 11-3 and put 8/11.

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

$157.50 175 *.90= 157.50

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

$9.00

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%

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

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.

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

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

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

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.

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

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

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%

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