PRAXIS-MATHEMATICS-SECTION Real Exam Questions and Verified Answers

Question 1 Single choice

Find the slope: 4x - 5y = 20

A
5/4
B
4/5
C
- 4/5
D
- 5/4
E
- 4

Show answer and explanation

Correct answer: B

Explanation

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

Question 2 Single choice

Solve for x: (7x/5) + 9 = 23

A
10
B
9
C
11
D
7
E
8

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Correct answer: A

Explanation

Explanation: In order to find x, you must subtract 9 from 23, then multiply the difference by 5, and finally divide the product by 7.

Question 3 Single choice

George buys 6 T-shirts for $5 each and 4 pairs of jeans for $8.50 each. He uses the following expression to calculate the total amount of money spent: 6 (5) + 4 (8.5).

Which of the following expressions could George also have used?

A
2 (5 + 8.5) + 4 (8.5)
B
4 (5 + 8.5) + 2 (5)
C
(4 + 2) + (5 + 8.5)
D
8.5 (2 + 4) + 5 (2 +4)
E
6(4) + 5(8.5)

Show answer and explanation

Correct answer: B

Explanation

Explanation: George bought four items at both $5 and $8.5, but he also bought two more items at $5.

Question 4 Single choice

4 2/3 - 2 ½ =

A
1 1/6
B
1 1/2
C
2 2/3
D
2 1/6
E
2 1/4

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Correct answer: D

Explanation

Explanation: Convert both fractions so that they have a common denominator of 6.

Question 5 Single choice

If Todd can type 60 words a minute, how long will it take him to type a 15,000 word document?

A
2 hours and 45 minutes
B
2 hours
C
4 hours and 10 minutes
D
4 hours and 30 minutes
E
3 hours and 30 minutes

Show answer and explanation

Correct answer: C

Explanation

Explanation: Divide the length of the document by the number of words per minute to find the number of minutes it will take. The number of minutes can then be divided by the number of minutes in an hour. 250 minutes is equivalent to 4 hours and 10 minutes.

Question 6 Single choice

Which of the following numbers has the greatest absolute value: 17, -9, 15.5, -20, 19?

A
-20
B
19
C
15.5
D
- 9
E
12

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Correct answer: A

Explanation

Explanation: Absolute value is the number of integers away from zero, so the absolute value of -20 is greater than the absolute value of 19 by one unit.

Question 7 Single choice

Albert is driving at 80 miles per hour.

How far will he go in 45 minutes?

A
60 miles
B
45 miles
C
80 miles
D
180 miles
E
90 miles

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Correct answer: A

Explanation

Explanation: 45 minutes is three-quarters of an hour, which can be rewritten as the decimal 0.75. Multiply this decimal by his speed.

Question 8 Single choice

John's sock drawer contains 4 pairs of green socks, 7 pairs of black socks, and 7 pairs of red socks.
If John reaches into the drawer at random, what are his chances of NOT selecting a pair of green socks?

A
1/3
B
7/9
C
2/5
D
10/18
E
3/4

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Correct answer: B

Explanation

Explanation: 14 of the 18 pairs of socks are not green; the fraction 14/18 can be simplified as 7/9.

Question 9 Single choice

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

Show answer and explanation

Correct answer: E

Explanation

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

Question 10 Single choice

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

Show answer and explanation

Correct answer: C

Explanation

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