TEAS MATH Practice questions

A contractor is hired to install laminate flooring. The total cost consists of a fixed material cost and an installation cost per square foot. The area of the floor is 120 square feet. The material cost is $172.35 and the cost of installation per square foot is 56.50. What is the total cost, in US dollars (USD), to install the laminate? (Round the answer to the nearest cent.)

952.35 calculate the instalation cost and then add the material cost. instalation cost : 6.50 x 120 = 780 Material cost: 780 + 172.35 = 952.35

Mary is planning a trip to Western Samao. Before going, she did some research and learned that the exchange rate is 6 tala for $2. How many tala will she get if she exchanges $325?

975 6 tala x 325 / 2 = 975

Two times a number is less than four more than number. Which of the following inequalities correctly represents the sentence above? A) 2x< x + 4 B) 2x> X+4 C) 2x +4 > x D) 2x+ 4 < x

A) 2x < x + 4

a landscaper wants the length of and width of a lawn each increased by 20%. the current dimensions of the lawn are 18 ft x 24 ft. which of the following dimensions are of the new lawn? 20ft x 26ft 19.8 ft x 26.4ft 21.6ft x 28.8ft

21.6ft x 28.8ft 18ft + 20% = 21.6 24 ft + 20% = 28.8

a doctor sees each patient for 20 minutes during a typical appointment. which of the following is the number of patients the doctor can see in typical 7.5 hour day? 12 12 23 22

22 set up proportion 60 min = 1 hr 60 min x 7.5 = 450 min 20 min 450 min ---- x ---------- = 450/20 = 22.5 patients 20 X

A homeowner wants to install vinyl siding on the exterior of the house. The total area on which the siding is to be installed is 225 square feet. To account for waste, they need to buy 10% additional material. What is the total amount, in square feet, of material the homeowner should buy? (Round the answer to the nearest tenth. Use a leading zero if it applies. Do not use a trailing zero.)

247.5 10% / 100 = 0.1 225 x 0.1 = 22.5 225 + 22.5 = 247.5

a child weighs 54lbs . which is the apporpriate estimate of this childs mass in kg? 25 40 75

25 1kg = 2.205 lb 54 x 1kg / 2.205 lb = 24.489

a family earns $6500 a month and have to pay %25 of bills. How much do they spend on bills?

25% / 100 = 0.25 6,500 x 0.25 = 1,625

a baker calculates the ingredients for 18 dozen cookies costs $24. how many dozen (12) cookies can the baker make if they spend $36 on ingredients ? 21 27 30 48

27 set up proportion 18 dozen/ 24 x X/36 = 648/24 = 27

24 ➗ 3 - 5

3

A RECIPE FOR A PIZZA THAT SERVES 12 PEOPLE CALLS FOR 2 CUPS OF SHREDDED CHEESE. IF EACH BAG OF SHREDDED CHEESE CONTAINS 3 CUPS, WHAT IS THE MINIMUM NUMBER OF BAGS REQUIRED TO MAKE A PIZZA FOR 48 PEOPLE ? A. 1 B. 2 C. 3 D. 4

3 12 people = 2 cups of cheese 12 x 4 = 48 people 2 x 4= 8 cups of cheese now we have 8 cups of cheese to make pizza for 48 people. each bag contains 3 cups. make into a fraction 8 cups/ 3 cups = 2.67 or 3 bags

47 - 5 --------- 5 + 9

3 Go straight across and then divide. 42/14 = 3

A cyclist went on a weekend bike ride. On Saturday, they biked at a constant speed of 11.1 miles per hour for 2.8 hours. On Sunday, they biked at a constant speed of 9.6 miles per hour for 3.1 hours. Which of the following is the best estimate of the difference in the distance they biked on Saturday compared to Sunday? (Estimate by rounding each value to the nearest whole number.) 1 mile 5 miles 4 miles 3 miles

3 miles sat : 11 mph x 3 = 33 sun: 10 mph x 3 = 30 33 - 30 = 3 miles

6 + 8 x (12-9)

30

assuming 1 kg = 2.205 lb which of the following is equivalent to 15 kg? 6.800 17.206 33.075

33.075 15kg x 2.205 = 33.075

an object has a mass of 34kg. which is the mass in milligrams mg. 34,000,000 20,000,000 15,000,000

34,000,000 1kg = 1,000,000 mg 34 kg x 1,000,000 mg ➗ 1kg

The shopper at a local grocery store weighs a bag of apples. the weight is 2.4 pounds (lb). Which of the the following is the weight of the apples? ( NOTE: 1 lb = 16 oz)

38.4 2.4 x 16 / 1 = 38.4

a patients fever is 102 'F. convert to Celsius . C= 5/9 x (F-32)

39'C 5/9 (102 - 32) = 70 5/9 (70) = 38.8 39 ' C

what is the first step to simplify the expression below? 30 ➗ (6+4 x 8) -3 30-3 6+4 4 x 8

4 x 8 Parenthesis first PEMDAS

4/100 as a percent

4% 4/100

multiply 4/5 x 1/5

4/25 multiply across

a contractor plans to build an open box out of plywood, the box will measure 4ft long , 3ft wide, 2ft tall. which of the following is the minimum amount of plywood needed to build the box? 24 ft 32ft 40ft 52ft

40ft take the area of the length ( its a box so there are 2 lengths of 4) so do 4 x 4 = 16 area or width (there are 2 widths of 3ft) so 3 x 2 = 6 ... 6 x 2 = 12 area of length (4) and width (3) ... 4 x 3 = 12 ..

3+5x9 PEMDAS

48

The average diameter of one tennis ball in a package of three is 6.8 cm. Which of the following is the combined volume of all three tennis balls? Use 3.14 for pie and round to the nearest hundredth. (v= 4/3pie r^3)

493.66 cm divide by 2 to find radius 6.8 / 2 = 3.4 radius volume = 4 x 3.14 x r cubed .. so 4 x 3.14 (3.4 x 3.4 x 3.4) = 493.66

225 ➗ (3 + 2 x 11) - 4

5

A holiday punch recipe calls for 1,500 ml of fruit punch, 375mL of pineapple juice and, 1 L of ginger ale. How many liters (l) of punch will this recipe yield if doubled? 12.5 mL 3.05 mL 5.75 mL

5.75 mL 1mL = 1000 L convert from mL to L 1500 mL = 1500 / 1000 = 1.5 L 375 mL = 375 / 1000 = 0.0375L 1 L add all together and double it . 1.5 + 0.0375 + 1 x 2 = 5.075

solve equation for the unknown 4x + 3 = 8

5/4 isolate x cancel out 3 8-3 = 5 4/4 = 5/4

a doctor writes a prescription for 0.5 liters of liquid medicine to a patient. how many mL will the medicine bottle be filled with? 1 L = 1000 mL

500 mL 0.5 x 1000 / 1 = 500mL

a student is comparing mass of several items. which of the following is reasonable estimation of the mass of a bowling ball? 5kg 5g 5 decigram

5kg

A homeowner wants to install a new marble countertop on their kitchen island. They take measurements of the island and find that the length is 2 feet, the width is 3.5 feet and the height of the island is 4 feet. Which of the following is the correct calculation of the area of the marble rectangle they need to cover the top of the island, without any overhang? 7 8 9.5

7 L x W = area of a rectangle 2 x 3.5 = 7

how many hourly rates are less than the mean? 9.00 10.00 11.00 22.00 38.00 14.00 15.00 16.00 18.00 21.25 42.00 A) 7 B)6 C) 9

7 hourly rates are less than the mean calculate the mean first. add all of the numbers and divide by the total amount of numbers in the data set. 218.25 ➗ 11 total numbers = 19.84 count all the amounts that are less than 19.84

write the following in increasing order 8 , 8 3/4 , 8.43

8 , 8.43, 8.75

5+7 x (3+9) ➗ 6-3^2

9

Find the median: 46,000, 12,500, 11,800, 9,100, 7,700, 6,300, 2,500

9,100 number in the middle if there are 2 middle numbers add them together and divide by 2

which of the folllowing is a correst comparison of 9.14 and 9 1/6 9.14 > 9 1/6 9.14 < 9/6

9.14 < 9/6

Which of the following is the simplest form of the expression (2x15-9/3) /(5+35 /5). PEMDAS

9/4

an artist is selling baskets at a craft fair. the cost of making each basket is $12.00. which of the following is the prince in dollars at which the artist should sell each basket to earn a profit of 15% on each basket? $13.80 $14.40 $22.00

$13.80 12.00 + %15 = 13.80

an employee makes $14.50 per hour. if the employee works 75 hrs during one pay period, 25 hours during the second pay period, and 50 hrs during a third pay period, which of the following represents the employee's gross earnings for all three pay periods? $4000 $2,175 $3000

$2,175.00 add all of the hours worked and multiply by how much they make per hour. 75+25+50=150 14.50 x 150 = 2,175

which of the following lists the values from least to greatest? -3 , 3, 3.3 , -3/10 -3/10, 3, 3.3 -3, -3/10 , 3 , 3.3

-3, -3/10 , 3 , 3.3

list from greatest to least after discount model M $200 : 10% off plus an additional $40 off Model N $235 : 40% off Model O $225 : $30 off Model P $190 : 15% off

O, P, N , M

Annette has $200 in her account and she plans to deposit $40 every week into the account. Which of the following expressions represents the amount in her account after n weeks?

200 + 40 n

round 1/8 to a decimal and round to nearest hundredth

0.13 1/8 = 0.125

An employee at a restaurant makes $ 14.50 per hour. if the employee works 150 hours during a month, which of the following is the employee's gross earnings for the month?

2,175

which of the following correctly solves for x x - 5.2 = -2.3 11.9 -7.5 -2.9 2.9

2.9 subtract 5.2 from both sides

what is the apporximate height in meters of a person who is 6ft tall? 1.8 m 2.6 m 7.2m

1.8 1ft= 3.281m 6ft ➗ 3.281 = 1.8

which of the following is the value of y in the equation? y - 3 + 7y = 1 1/2 -2/3 1/5

1/2

At the end of the semester, a student sells 11 books back to the bookstore, earning $173. With the earned money, they pay two $20 parking tickets and a $17 library fine. How much money does the student have left.

116 173 - (20 x 2) - 17 = 116

8 - 4 ➗ (5-3) x 3 + 11

13

Convert 2.5 miles to feet 1 mile = 5,280 ft

13,200 1 mile = 5,280 ft 2.5 x 5,280 / 1 = 13,200

The average speed a NASA space shuttle travels is 17,500 miles per hour. The distance the space shuttle traveled is 238,855 miles. Which of the following is the travel time of the space shuttle?

13.6 hr distance / speed = travel time 238,855 / 17,500 = 13.6

the number 20 is approximately 15% of what value?

133 15% / 100 = 0.15 20 / 0.15 = 133

2.8 - 5.1 (3.4 + 0.6)

17.6

Yesterday, a waiter received $74 in tips. Today he received 125% of what he made yesterday. Which of the following is the amount of money the waiter received in tips today? A) $18.50 B) $59.20 C) $83.25 D) $92.50

D) $92.50 74 from yesterday 125% today = 1.25 74 x 1.25 = 92.50

a container holds 6 gallons of water. it starts leaking at a constant rate because of a hole on its side. after 10 minutes, the container has 4 gallons of water left. which of the following is true about the variables in this solution? elapsed time is the dependent variable and the amount of water is the independent variable elapsed time is the independent variable and the amount of water in the container is the dependent variable

elapsed time is the independent variable and the amount of water in the container is the dependent variable

if x represents the length of one side of a rectangle with a perimeter of 200 which of the following expressions models the area of the rectangle? x (100-x) 2 x + 2 (100-x) 2x (200-x)

x (100-x)