Math Test Set 12 - My Career Tools

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1. 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 1 of 10

2. The graph below shows a function.

A.True

B.False

Question 2 of 10

3. Factor: \(b^{2} − b − 20\)

A.(2b − 5)(b + 4)

B.(b − 5)(b + 4)

C.(b − 10)(b + 2)

D.(b + 5)(b − 4)

Question 3 of 10

Math- Equations

4. Solve the given equation for x.

−4x − 4 = 16

A.−5

B.−6

C.5

D.10

Question 4 of 10

5. Solve the given equation for x.

−x + 8 = 13

A.-5

B.5

C.-10

D.10

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”.

−144

A.None

B.-12, 12

C.-6, 6

D.-24, 24

Question 6 of 10

Math-Solution of equations

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

2x + 3y = −2
−5x + 5y = 2

A.\((\frac{-16}{25}, \frac{-6}{25}) \)

B.\((\frac{-16}{25}, \frac{6}{25}) \)

C.\((\frac{16}{25}, \frac{-6}{25}) \)

D.\((\frac{-18}{25}, \frac{-6}{30}) \)

Question 7 of 10

Math-Combining Like Terms

8. 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 8 of 10

Math-Word problems

9. Mark’s scores on his first three exams are 79, 84, and 71. What must Mark score on his next exam to average 74 for all four exams?

A.62

B.-62

C.63

D.-63

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