# 10 Most Common PERT Math Questions

Preparing for the PERT Math test? Want a preview of the most common mathematics questions on the PERT Math test? If so, then you are in the right place.

The mathematics section of PERT can be a challenging area for many test-takers, but with enough patience, it can be easy and even enjoyable!

Preparing for the PERT Math test can be a nerve-wracking experience. Learning more about what you’re going to see when you take the PERT can help to reduce those pre-test jitters. Here’s your chance to review the 10 most common PERT Math questions to help you know what to expect and what to practice most. Try these 10 most common PERT Math questions to hone your mathematical skills and to see if your math skills are up to date on what’s being asked on the exam or if you still need more practice.

Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions you need to practice.

## The Absolute Best Book to Ace the PERT Math Test

Original price was: $21.99.Current price is:$16.99.
Satisfied 236 Students

## 10 Sample PERT Math Practice Questions

1- If $$f(x) = 5 + x$$ and $$g(x) = – x^2 – 1 – 2x$$, then find $$(g – f)(x)$$?

A. $$x^2–3x–6$$

B. $$x^2–3x+6$$

C. $$–x^2–3x+6$$

D. $$–x^2–3x–6$$

2- $$\frac{|3+x|}{7}≤ 5$$,$$then \space x =$$?

A. $$–38≤x≤35$$

B. $$–38≤x≤32$$

C. $$–32≤x≤38$$

D. $$–32≤x≤32$$

3- $$tan\space (-\frac{π}{6}) = ?$$

A. $$\frac{{\sqrt{3}}}{3}$$

B. $$-\frac{{\sqrt{2}}}{2}$$

C. $$\frac{{\sqrt{2}}}{2}$$

D. $$-\frac{{\sqrt{3}}}{3}$$

4- Solve: $$\frac{\sqrt {32a^5 b^3} }{\sqrt {2ab^2} }=$$?

A. $$4a^2 {\sqrt{b}}$$

B. $$2b^2 {\sqrt{a}}$$

C. $$4b^2 {\sqrt{a}}$$

D. $$– 4a^2 {\sqrt{b}}$$

5- The cost, in thousands of dollars, of producing x thousands of textbooks is $$C (x) = x^2 + 10x + 30$$. The revenue, also in thousands of dollars, is $$R(x) = 4x$$. Find the profit or loss if 3,000 textbooks are produced. (profit = revenue – cost)

A. $21,000 loss B.$57,000 profit

C. $3,000 profit D.$57,000 loss

6- Suppose a triangle has the dimensions indicated below:
Then Sin B =?

A. $$\frac{3}{5}$$

B. $$\frac{4}{5}$$

C. $$\frac{4}{3}$$

D. $$\frac{3}{4}$$

7- Find the slope-intercept form of the graph $$6x – 7y = – 12$$

A. $$y = –\frac{7}{6} x – \frac{12}{7}$$

B. $$y = –\frac{6}{7} x – \frac{12}{7}$$

C. $$y = \frac{6}{7} x + \frac{12}{7}$$

D. $$y = \frac{7}{6} x + \frac{12}{7}$$

8- Ella (E) is 4 years older than her friend Ava (A) who is 3 years younger than her sister Sofia (S). If E, A, and S denote their ages, which one of the following represents the given information?

A.
$$E=A+4$$
$$S=A-3$$

B.
$$E=A+4$$
$$A=S+3$$

C.
$$A=E+4$$
$$S=A-3$$

D.
$$E=A+4$$
$$A=S-3$$

9- Which of the following point is the solution of the system of equations?
$$5x + y = 9$$
$$10x-7y= -18$$

A. (2, 4)

B.(2, 2)

C. (1, 4)

D. (0, 4)

10- Find the Center and Radius of the graph $$(x – 3)^2 + (y + 6)^2 = 12$$

A. (3, 6), $$\sqrt{3}$$

B.(3, –6), 2$$\sqrt{3}$$

C. (–3, 6), 2$$\sqrt{3}$$

D. (3, –6), $$\sqrt{3}$$

## Best PERT Math Prep Resource for 2022

Original price was: $56.99.Current price is:$29.99.
Satisfied 192 Students

1- D
$$(g – f)(x) = g(x) – f(x) = (– x^2 – 1 – 2x) – (5 + x) – x^2 – 1 – 2x – 5 – x = – x^2 – 3x – 6$$

2- B
$$\frac{|3+x|}{7}≤ 5⇒|3+x|≤35⇒-35≤3+x≤35⇒-35-3≤x≤35-3⇒ -38≤x≤32$$

3- D
tan $$(-\frac{π}{6}) = -\frac{\sqrt3}{3}$$

4- A
$$\frac{\sqrt{32a^5 b^3} }{\sqrt{2ab^2} }=\frac{4a^2 b\sqrt{2ab}}{b\sqrt{2a}}=4a^2 \sqrt b$$

5- D
$$c(3)=(3)^2+10(3)+30=9+30+30=69$$
$$4×3=12⇒12-69=-57⇒57,000 \space loss$$

6- B
sin B$$=\frac{the \space length \space of \space the \space side \space that \space is \space opposite \space that \space angle}{the \ length \space of \space the \space longest \space side \space of \space the \space triangle}=\frac{4}{5}$$

7- C
$$-7y=-6x-12⇒y=\frac{-6}{-7}x- \frac{12}{-7}⇒y=\frac{6}{7}x + \frac{12}{7}$$

8- D
$$E = 4 + A$$
$$A = S – 3$$

9- C
$$5x + y = 9$$
$$10x-7y= -18$$
Multiplication (–2) in first equation
$$-10x- 2y = -18$$
$$10x-7y= -18$$
Add two equations together ⇒ $$–9y = –36$$ ⇒$$y = 4$$ then: $$x = 1$$

10- B
$$(x – h)^2 + (y – k)^2 = r^2$$ ⇒ center: (h,k) and radius: r
$$(x – 3)^2 + (y + 6)^2 = 12$$ ⇒ center: (3,-6) and radius:$$2\sqrt 3$$

Looking for the best resource to help you succeed on the PERT Math test?

## The Best Book to Ace the PERT Test

Original price was: $19.99.Current price is:$14.99.
Satisfied 255 Students

## More from Effortless Math for PERT Test …

### Do you know what it means to prepare for the PERT math test?

To better understand how to prepare for the PERT Math, do not miss the How to Prepare for the PERT Math Test!

### Do you have limited time and just want to focus on the top PERT math practice questions?

So check out the Top 10 PERT Math Practice Questions!

### Is it worrying to retake the PERT test?

Top 10 Tips You MUST Know to Retake the PERT Math can help you get ready for retaking the exam!

## The Perfect Prep Books for the PERT Math Test

Original price was: $22.99.Current price is:$14.99.
Satisfied 116 Students
Original price was: $69.99.Current price is:$35.99.
Satisfied 222 Students
Original price was: $25.99.Current price is:$14.99.
Satisfied 87 Students
Original price was: $20.99.Current price is:$15.99.
Satisfied 125 Students

## Have any questions about the PERT Test?

### What people say about "10 Most Common PERT Math Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.

X
49% OFF

Limited time only!

Save Over 49%

SAVE $34 It was$69.99 now it is \$35.99