Math Practice Test Set 2 - My Career Tools

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1. An integer is randomly chosen from the following number line. Given that the number lies on A-D , what is
the probability that it also lies on C-F

A.\(\frac{8}{8}\)

B.\(\frac{1}{2}\)

C.\(\frac{8}{11}\)

D.\(\frac{5}{8}\)

Question 1 of 10

2. An integer is randomly chosen from the following number line. Given that the number lies on A-D, what is the probability that it also lies on B-C?

A.\(\frac{1}{3}\)

B.\(\frac{2}{9}\)

C.\(\frac{1}{9}\)

D.\(\frac{1}{4}\)

Question 2 of 10

3. Factor the expression. \(9x^{2} + 24x + 16\)

A.\((x + 4)(9x − 1)\)

B.\((3x + 16)(3x + 1)\)

C.\((3x + 4)^{2}\)

D.\((3x + 8)^{2}\)

Question 3 of 10

4. Peter is dividing a regular deck of 52 cards in half and choosing a card at random. What is the probability of choosing a Jack, if he happens to divide the deck perfectly into black cards and red cards and then chooses from the red cards?

A.\(\frac{1}{13}\)

B.\(\frac{2}{13}\)

C.\(\frac{1}{2}\)

D.\(\frac{1}{4}\)

Question 4 of 10

5. \(\frac{x^{2}+3}{x(x+5)}\)

Find the values that make this rational expression undefined.

A.x = 0 or −5

B.x = 0 or 7

C.x = 0 or 5

D.x = 2 or 4

Question 5 of 10

6. \(\frac{7x^{2}-63}{x+3}\)

Simplify the expression.

A.\(\frac{x+3}{7}, x ≠ - 3\)

B.\(\frac{7x^{2}-9}{x},x ≠ - 3\)

C.7(x+3), x ≠ - 3

D.7(x-3), x ≠ - 3

Question 6 of 10

Math-Solution of equations

7. Use the elimination method to solve each of the following systems.

x + 7y = −32
−8x − 56y = 256

A.Infinite number of solutions

B.0

C.1

D.no solutions

Question 7 of 10

Math-Percent of number

8. What number is 22.4% of 125?

A.28

B.27

C.56

D.14

Question 8 of 10

Math-Evaluate expression

9. Evaluate the expression at the given value of x.

12x+ 10 at x = −12

A.-134

B.134

C.123

D.-144

Question 9 of 10

Math-Square Roots

10. List all square roots of the given number. If the number has no square roots, choose “none”.

256

A.16, -16

B.15, -15

C.32, -32

D.-15, 15

Question 10 of 10