Test Prep PRAXIS PRAXIS-MATHEMATICS-SECTION Questions & Answers

• Question 41:

  Rex is four times as old as Ted. If the sum of their ages is 30, how old is Ted?

  A. 5

  B. 8

  C. 10

  D. 6

  E. 12

  Correct Answer: D

  Explanation: The ratio of Rex's age to Ted's age is 4:1; the sum of their ages can be divided by the total number of units in this ratio, 5. This indicates that Rex is 24 and Ted is 6.

• Question 42:

  John will be x in 7 years. How old was he last year?

  A. x + 7

  B. 1 – x - 7

  C. x + 8

  D. x - 8

  E. 7x

  Correct Answer: D

  Explanation: The target age can be found by subtracting first seven and then one year from x.

• Question 43:

  Find the slope: 4x – 5y = 20

  A. 5/4

  B. 4/5

  C. - 4/5

  D. - 5/4

  E. - 4

  Correct Answer: B

  Explanation: The equation form for slope is y = mx + b, in which m is slope.

• Question 44:

  If Dave drives at a steady speed of 50 miles per hour, how long will it take him to drive 10 miles?

  A. 20 minutes

  B. 10 minutes

  C. 15 minutes

  D. 30 minutes

  E. 12 minutes

  Correct Answer: E

  Explanation: Since there are 60 minutes in an hour, this problem can be solved with the following equation: 50/60 = 10/x

• Question 45:

  Solve and simplify: 2/3 x 3/5 x 5/10 x 6/8 =

  A. 0.2

  B. 0.5

  C. 0.15

  D. 0.25

  E. 0.333333333

  Correct Answer: C

  Explanation: Fractions are multiplied by multiplying numerators by numerators and denominators by denominators. Some of the fractions in this problem can be simplified.

• Question 46:

  If x = -5, then |x - 7| =

  A. -12

  B. 2

  C. 10

  D. -2

  E. 12

  Correct Answer: E

  Explanation: Remember that absolute value is the distance from zero on a real number line, and therefore cannot be zero.