# Top 10 PERT Math Practice Questions

Taking the PERT Math Test in a few weeks or even in a few days? The best way to prepare for your PERT Math test is to work through as many PERT Math practice questions as possible. Here are the top 10 PERT Math practice questions to help you review the most important PERT Math concepts. These PERT Math practice questions are designed to cover mathematics concepts and topics that are found on the actual test. The questions have been fully updated to reflect the latest 2022 PERT guidelines. Answers and full explanations are provided at the end of the post.

Start your PERT Math test prep journey right now with these sample PERT Math questions.

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**PERT Math Practice Questions**

1- \((x + 7) (x + 5) =\) ?

A.\(x^2 + 12x + 12\)

B. \(2x + 12x + 12\)

C. \(x^2 + 35x + 12\)

D. \(x^2 + 12x + 35\)

2- If \(x\) is a positive integer divisible by 6, and \(x < 60\), what is the greatest possible value of \(x\)?

A. \(54\)

B. \(48\)

C. \(36\)

D. \(59\)

3- \(x^2 – 81 = 0\), \(x\) could equal to:

A. \(6\)

B. \(9\)

C. \(12\)

D. \(15\)

4- If \(a = 8\), what is the value of \(b\) in this equation?

\(b=\frac{a^2}{4}+4\)

A. \(24\)

B. \(22\)

C. \(20\)

D. \(28\)

5- If \(6.5 < x ≤ 9.0\), then \(x\) cannot be equal to:

A. \(6.5\)

B. \(9\)

C. \(7.2\)

D. \(7.5\)

6- What is the area of an isosceles right triangle that has one leg that measures \(6 cm\)?

A. \(18 cm\)

B. \(36 cm\)

C. \(6 \sqrt{2}\) \(cm\)

D. \(72 cm\)

7- Which of the following expressions is equivalent to \(10 – \frac{2}{3} x ≥ 12\)

A. \(x ≥ –3\)

B. \(x ≤ –3\)

C. \(x ≥ 24 \frac{1}{3}\)

D. \(x ≤24 \frac{1}{3}\)

8- Which of the following is a factor of both \(x^2 – 2x – 8\) and \(x^2 – 6x + 8\)?

A. \((x – 4)\)

B. \((x +4)\)

C. \((x – 2)\)

D. \((x +2)\)

9- \(\frac{1}{6b^2} + \frac{1}{6b} = \frac{1}{b^2}\), then \(b =\)?

A. \(-\frac{16}{15}\)

B. \(5\)

C. \(-\frac{15}{16}\)

D. \(8\)

10- If two angles in a triangle measure \(53\) degrees and \(45\) degrees, what is the value of the third angle?

A. \(8\) degrees

B. \(42\) degrees

C. \(82\) degrees

D. \(98\) degrees

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## Answers:

1- **D**

Use FOIL (First, Out, In, Last)

\((x + 7) (x + 5) = x^2 + 5x + 7x + 35 = x^2 + 12x + 35\)

2- **A**

\(\frac{54}{6}=\frac{27}{3}=9\)

\(\frac{48}{6}=\frac{24}{3}= 8\)

\(\frac{36}{6}=\frac{18}{3}=6\)

\(\frac{59}{6}=\frac{59}{6}\)

\(59\) is prime number

3- **B**

\(x^2 – 81 = 0 ⇒ x^2 = 81 ⇒ x = 9\)

4- **C**

If \( a = 8\) then \(b =\frac{8^2}{4} + 4\) ⇒ \(b = \frac{64}{4} + 4 ⇒ b = 16 + 4 = 20\)

5- **A**

If \(6.5 < x ≤ 9.0\), then \(x\) cannot be equal to \(6.5\).

6- **A**

\(a=6\)⇒ area of triangle is \(=\frac{1}{2} (6×6)=\frac{36}{2}=18 cm\)

7- **B**

Simplify:

\( 10 – \frac{2}{3} x ≥ 12 ⇒ – \frac{2}{3}2 x ≥ 2 ⇒ – x ≥ 3 ⇒ x ≤ – 3\)

8- **A**

Factor each trinomial \(x^2 – 2x – 8\) and \(x^2 – 6x + 8 \)

\(x^2 – 2x – 8 ⇒ (x – 4)(x + 2) \)

\(x^2 – 6x + 8 ⇒ (x – 2)(x – 4)\)

9- **B**

\(\frac{1+b}{6b^2}=\frac{1}{b^2}\)

\(⇒(b≠0) b^2+b^3=6b^2⇒b^3-5b^2=0⇒b^2 (b-5)=0⇒b-5=0⇒b=5\)

10- **C**

\(53^\circ + 45^\circ= 98^\circ\)

\(180^\circ– 98^\circ= 82^\circ\)

The value of the third angle is \(82^\circ\).

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