10 Most Common PERT Math Questions

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), \(\sqrt{3}\)

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Answers:

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:\(2\sqrt 3\)

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