TEAS Study Guide (Math) 2022

Four friends plan to share equally the cost of a retirement gift. If one person drops out of the arrangement, the cost per person for the remaining three would increase by $12. What is the cost of the gift? A. $144 B. $136 C. $180 D. $152

A. $144

Amanda makes $14 an hour as a bank teller, and Oscar makes $24 an hour as an auto mechanic. Both work eight hours a day, five days a week. Which of these equations can be used to calculate how much they make together in a five-day week? A. (14 + 24) * 8 * 5 B. 14+24 / (8)(5) C. (14 + 24)(8 + 5) D. 14 + 24 * 8 * 5

A. (14 + 24) * 8 * 5

Seven added to four-fifths of a number equals fifteen. What is the number? A. 10 B. 15 C. 20 D. 25

A. 10

Find the value of a^2 + 6b when a = 3 and b = 0.5 A. 12 B. 6 C. 9 D. 15

A. 12

Amy drives her car until the gas gauge is down to 1/8 full, then she fills the tank to capacity by adding 14 gallons. What is the capacity of the gas tank?

A. 16 gallons

Calculate the value of this expression: 2+6*3 *(3*4)^2 +1 A. 2,595 B. 5, 185 C. 3,456 D. 6,464

A. 2,595

Alicia must have a score of 75% to pass a test of 80 questions. What is the greatest number of questions she can miss and still pass the test? A. 20 B. 25 C. 60 D. 15

A. 20

In the graduating class at Emerson High School, 52% of the students are girls and 48% are boys. There are 350 students in the class. Among the girls, 98 plan to go to college. How many do not plan to go to college? A. 84 B. 48 C. 66 D. 72

A. 84

X is a positive integer. Dividing x by a positive number less than 1 will yield: A. A number greater than x B. A number less than x C. A negative number D. An irrational number

A. A number greater than x

A rectangle's length is three times its width. The area of the rectangle is 48 square feet. How long are the sides? A. Length=12, width=4 B. Length=15, width=5 C. Length=18, width=6 D. Length=24, width=8

A. Length=12, width=4

It took Charles four days to write a history paper. He wrote 5 pages on the first day, 4 pages on the second day, and 8 pages on the third day. if Charles ended up writing an average of 7 pages per day, how many pages did he write on the 4th day? A. 11 B. 8 C. 12 D. 9

A.11

What value of q is a solution to the equation: 130 = q(-13) A. 10 B. -10 C. 1 D. 10^2

B. -10

Danvers is 8 miles due south of Carson and 6 miles due west of Baines. If a driver could drive in a straight line from Carson to Baines, how long would the trip be? A. 8 miles B. 10 miles C. 12 miles D. 14 miles

B. 10 miles

Which of the following is equivalent to the equation: 5/mp / p/4 A. 5p / 4mp B. 20 / mp^2 C. 20mp / 4p D. 4mp / 5

B. 20 / mp^2

What is the prime factorization of 24? A. 24= 8 * 3 B. 24= 2 * 2 * 2 * 3 C. 24= 6 * 4 D. 24= 12 * 2

B. 24= 2 * 2 * 2 *3

Carmen has a box that is 18 inches long, 12 inches wide, and 14 inches high. What is the volume of the box? A. 44 cubic inches B. 3,024 cubic inches C. 216 cubic inches D. 168 cubic inches

B. 3,024

What is the mode in this set of numbers: 4, 5, 4, 8, 10, 4, 6, 7 A. 6 B. 4 C. 8 D. 7

B. 4

What is the least common multiple of 8 and 10? A. 80 B. 40 C. 18 D. 72

B. 40

Marisol's score on a standardized test was ranked in the 78th percentile. If 660 students to the test, approximately how many students scored lower than Marisol? A. 582 B. 515 C. 612 D. 486

B. 515

In four years, Tom will be twice as old as Serena was three years ago. Tom is three years younger than Serena. How old are Tom and Serena now? A. Serena is 28, Tom is 25 B. Serena is 7, Tom is 4 C. Serena is 18, Tom is 15 D. Serena is 21, Tom is 18

B. Serena is 7, Tom is 4

Solve the equation: a^2 *a^3 A. x=a B. x=a^5 C. x=1 D. x=0

B. x=a^5

If ≥ 9, which of the following is a possible value of x? A. 2^3 B. 9 C. -34 D. 8.5

B.9

A cellphone on sale at 30% off costs $210. What was the original price of the phone? A. $240 B. $273 C. $300 D. $320

C. $300

Jean buys a textbook, a flashdrive, a printer cartridge, and a ream of paper. The flash drive costs 3 times as much as the ream of paper. The textbook costs 3 times as much as the flashdrive. The printer cartridge costs twice as much as the textbook. the ream of paper costs $10. How much does Jean spend altogether? A. $250 B. $480 C. $310 D. $180

C. $310

The number of students enrolled at Two Rivers Community College increased from 3,450 in 2010 50 3,864 in 2015. What was the percent increase?

C. 12%

What is the factorial of 5? A. 25 B. 5 and 1 C. 120 D. 125

C. 120

What is the sum of 1/3 and 3/8? A. 3/24 B. 4/11 C. 17/24 D. 15/16

C. 17/24

Lourdes rolls a pair of 6-sided dice. What is the probability that the result will equal 10? A. 1/36 B. 2/36 C. 3/36 D. 4/36

C. 3/36

Which of the following numbers is a perfect square? A. 5 B. 15 C. 49 D. 50

C. 49

Which of the following is a prime number? A. 81 B. 49 C. 59 D. 77

C. 59

Which of the following is the smallest possible integer value of x in this equation: x>3^2-4 A. 3 B. 5 C. 6 D. 7

C. 6

Find the median in this series of numbers: 80, 78, 73, 69, 100.

C. 78

Which of the following statements is true? A. The square of a number is always less than the number. B. The square of a number may be either positive or negative. C. The square of a number is always a positive number. D. The square of a number is always greater than the number.

C. The square of a number is always a positive number.

Solve the equation: x + 8 - (-3) A. x = 5 B. x = -5 C. x = 11 D. x = -11

C. x = 11

Solve the equation: -9*-9= A. 18 B. 0 C. 81 D. -81

C.81

Sam worked 40 hours at d dollars per hour and received a bonus of $50. His total earnings were in $530. What was his hourly wage? A. $18 B. $16 C. $14 D. $12

D. $12

Which of these numbers is the largest? A. 5/8 B. 3/5 C. 2/3 D. 0.72

D. 0.72

If the sum of two numbers is 360, and their ratio is 7:3, what is the smaller number? A. 72 B. 105 C. 98 D. 108

D. 108

The population of Mariposa County in 2015 was 90% of it's population in 2010. The population in 2010 was 145,000. What was the population in 2015? A. 160,000 B. 142,000 C. 120,000 D. 130,500

D. 130,500

Which of these numbers is the largest? A. -345 B. 42 C. -17 D. 3^4

D. 3^4

Which digit is in the thousandths place in this number: 1,234.567 A. 1 B. 2 C. 6 D. 7

D. 7

The area of a triangle equals one-half the base times the height. Which of the following is the correct way to calculate the area of a triangle that has a base of 6 and a height of 9?

(6*9)/2