Math Test Set 11 - My Career Tools

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1. Jane has a collection of marbles, consisting of 3 red, 4 green, 4 blue, and 3 orange marbles. She has offered two of her friends, David and Malcolm, that they may take one marble each. What is the probability that Malcolm chooses a red marble, given that David has already chosen a red marble?

A.\(\frac{1}{7}\)

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

C.\(\frac{3}{14}\)

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

Question 1 of 10

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

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 2 of 10

3. \(\frac{x-7}{x^{2}-x-42}\)

Simplify this expression.

A.\(\frac{1}{x+7}, x ≠ - 6\)

B.\(\frac{1}{x+6}, x ≠ 6 \)

C.x + 7, x ≠ - 6,7

D.x + 6, x ≠ - 6,7

Question 3 of 10

Math-Inequalities

4. Solve the given inequality.

−16x − 5 ≥ −11 − 6x

A.\(\frac{3}{5}\)

B.\(\frac{5}{3}\)

C.6

D.\(1\frac{3}{5}\)

Question 4 of 10

5. Solve the given inequality.

15x + 5 < 6x + 2

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

B.\(-\frac{3}{1}\)

C.\(\frac{1}{-3}\)

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

Question 5 of 10

Math-Square Roots

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

529

A.23, -23

B.22, -22

C.24, -24

D.18, 19

Question 6 of 10

Math-Solution of equations

7. Which of the points (1, −1), (−2, 20), (−4, 31), and (−9, 64) is a solution of the equation y = −6x + 7?

A.(−4, 31)

B.(−2, 20)

C.(1, −1)

D.(−9, 64)

Question 7 of 10

Math- Equations

8. Solve the given equation for x.

5x − 14 = −79

A.−13

B.−14

C.6.5

D.13

Question 8 of 10

9. Solve the equation.

11x + 10 = 19x + 20

A.\(-\frac{5}{4}\)

B.\(\frac{5}{4}\)

C.8

D.-8

Question 9 of 10

Math-Combining Like Terms

10. Combine like terms by first rearranging the terms, then using the distributive property to factor out the common variable part, and then simplifying.

\(-14xy − 2x^{3} - 2x^{3} - 4xy\)

A.\(−18xy − 4x^{3} \)

B.\(−20xy − 4x^{3} \)

C.\(18xy − 4x^{3} \)

D.\(-18xy + 4x^{3} \)

Question 10 of 10