Math Test Set 11 - My Career Tools

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1. Suppose y varies inversely with x and x = 12 when y = 3. What is the equation of the inverse variation?

A.\(\frac{y}{x}\) = 36

B.y = \(\frac{12}{3}\)

C.y = \(\frac{36}{x}\)

D.12 = \(\frac{3}{y}\)

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

Math-Combining Like Terms

3. 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 3 of 10

Math-Square Roots

4. 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 4 of 10

Math- Equations

5. Solve the equation.

2x − 4(4 − 9x) = 4(7x + 8)

A.\(\frac{24}{5}\)

B.\(\frac{5}{24}\)

C.\(\frac{12}{5}\)

D.\(\frac{5}{12}\)

Question 5 of 10

Math-Percent to decimal

6. Convert the given decimal to a percent.

0.14

A.14%

B.1.4%

C.0.14%

D.0.014%

Question 6 of 10

7. Convert the given percent to a decimal.

155%

A.1.55

B.0.155

C.15.5

D.0.0155

Question 7 of 10

8. Convert the given percent to a decimal.

0.6379%

A.0.006379

B.63,79

C.0.6379

D.6.379

Question 8 of 10

Math-Exponents

9. Simplify the given exponential expression.

\(3^{4}\cdot 3^{0}\)

A.\(3^{4} \)

B.\(-3^{4} \)

C.\(3^{2} \)

D.\(-3^{2} \)

Question 9 of 10

10. Simplify the given exponential expression.

\((uw)^{5}\)

A.\(u^{5}w^{5} \)

B.\(5uw^{5} \)

C.\(u^{4}w^{6} \)

D.\(-5uw^{5} \)

Question 10 of 10