Math Test Set 11 - My Career Tools

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1. \(\frac{a-1}{(a)^{2}-1}\)

Simplify.

A.\(\frac{1}{a}, a ≠ 0\)

B.\(\frac{1}{a-1}, a ≠ - 1\)

C.\(\frac{1}{1-a}, a ≠ 1\)

D.\(\frac{1}{a+1}, a ≠ 1\)

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-Evaluate expression

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

\(5x^{2}− 4xy + 3y^{2}\) at \(x = 1\) and \(y = −4\)

A.69

B.-69

C.70

D.-68

Question 3 of 10

Math-Exponents

4. Simplify the given exponential expression.

\(2^{5} \cdot 2^{3}\)

A.\(2^{8} \)

B.\(-2^{8} \)

C.\(2^{1} \)

D.\(1^{2} \)

Question 4 of 10

5. Simplify the given exponential expression.

\((7v - 6w)^{18} \cdot (7v - 6w)^{17}\)

A.\((7v − 6w)^{35} \)

B.\(-(7v − 6w)^{35} \)

C.\((7v + 6w)^{35} \)

D.\(-(7v + 6w)^{35} \)

Question 5 of 10

Math- Equations

6. Solve the equation.

11x + 10 = 19x + 20

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

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

C.8

D.-8

Question 6 of 10

7. Solve the equation.

5(5x − 2) = 4(8x + 1)

A.−2

B.2

C.4

D.0

Question 7 of 10

8. Solve the given equation for x.

9x + 5 = −85

A.-10

B.10

C.85

D.-11

Question 8 of 10

Math-Square Roots

9. 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 9 of 10

Math-Percent to decimal

10. Convert the given decimal to a percent.

1.681

A.168.1%

B.1.681%

C.16.81%

D.0.1681%

Question 10 of 10