Math Practice Test Set 8 - My Career Tools

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1. Given the following set of numbers {1,1,1,1,2,3,4,5,5,5,5,6,7,8,8,8,8,8,9, 10} what is the probability of choosing a prime number, given that a factor of 36 is chosen?

A.\(\frac{7}{20}\)

B.\(\frac{2}{5}\)

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

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

Question 1 of 10

Math-Combining Like Terms

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

\(-14x^{2}y - 2xy^{2} + 8x^{2}y + 18xy^{2}\)

A.\(-6x^{2}y + 16xy^{2} \)

B.\(-6x^{2}y + 18xy^{2} \)

C.\(6x^{2}y + 16xy^{2} \)

D.\(-6x^{2}y - 16xy^{2} \)

Question 2 of 10

Math- Equations

3. Solve the equation.

−8(−2x − 6) = 7(5x − 1) − 2

A.3

B.-3

C.2

D.6

Question 3 of 10

Math-Evaluate expression

4. Evaluate the expression at the given values of x and y.

\(-5x^{2} + 2y^{2}\) at \(x = 4\) and \(y = 2\)

A.-72

B.72

C.-35

D.78

Question 4 of 10

5. Simplify the given expression.

48 ÷ 4(6)

A.72

B.65

C.12

D.36

Question 5 of 10

Math-Solution of equations

6. Use the substitution method to solve each of the following systems.

3x − 4y = −43
−3x + y = 22

A. (-5, 7)

B.-(-5, 7)

C.35

D.-35

Question 6 of 10

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

x + 8y = 41
−5x − 9y = −50

A.(1, 5)

B.- (1, 5)

C.1 (1, 5)

D.(1, - 5)

Question 7 of 10

8. Which of the numbers following the given equation is a solution of the given equation?

x − 3 = 6; 9, 16, 10, 12

A.9

B.3

C.1

D.8

Question 8 of 10

Math-Slope

9. Calculate the slope of the line passing through the points P and Q. Be sure to reduce your answer to lowest terms.

P(−18, 10), Q(−9, 7)

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

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

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

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

Question 9 of 10

Math-Exponents

10. Simplify the given exponential expression.

\((−2y)^{3}\)

A.\(-8y^{3} \)

B.\(8y^{3} \)

C.\(-7y^{3} \)

D.\(-16y^{3} \)

Question 10 of 10