Math Practice Test Set 7 - My Career Tools

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

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 1 of 10

2. 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 2 of 10

3. The equation represents a direct variation.

6x + 4 = y

A.True

B.False

Question 3 of 10

Math-Evaluate expression

4. −6x − 1 at x = 1

A.-7

B.7

C.-6

D.12

Question 4 of 10

5. Simplify the given expression.

\(-3^{5}\)

A.-243

B.243

C.238

D.-238

Question 5 of 10

Math- Equations

6. Solve the given equation for x.

−4x − 4 = 16

A.−5

B.−6

C.5

D.10

Question 6 of 10

Math-Distributive Property

7. Use the distributive property to expand the given expression.

\(−2uw(10u^{2}− 7uw − 2w^{2})\)

A.\(-20u^{3}w + 14u^{2}w^{2} + 4uw^{3}\)

B.\(20u^{3}w + 14u^{2}w^{2} + 4uw^{3}\)

C.\(-20u^{3}w + 18u^{2}w^{2}\)

D.\(20u^{3}w - 14u^{2}w^{2}\)

Question 7 of 10

Math-Percent to decimal

8. Convert the given percent to a decimal.

124%

A.1.24

B.12.4

C.0.124

D.124

Question 8 of 10

Math-Word problems

9. Two less than eight times an unknown number is −74. Find the unknown number.

A.-9

B.9

C.-18

D.5

Question 9 of 10

Math-Solution of equations

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

−3x − 5y = −34
7x + 7y = 56

A.(3,5)

B.15

C.(5,3)

D.- (3,5)

Question 10 of 10