Math Practice Test Set 4 - 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. Is the following a function? Explain why or why not.

A.Yes, this does represent a function, because all the points are distinct (none of them are coincident.

B.No, this does not represent a function, since a function can not be made up of only points.

C.No, this does not represent a function, since it fails the vertical line test.

D.No, this does not represent a function, since a function is made up of many more points.

Question 2 of 10

3. 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 3 of 10

4. \(\frac{x^{2}-y^{2}}{y^{2}-49} / \frac{y-x}{y+7}\)

Simplify.

A.\(\frac{y-x}{y-7}, x ≠ y, y ≠ - 7 \)

B.\(\frac{-x+y}{y-7}, x ≠ y, y ≠ - 7 \)

C.\(\frac{-x-y}{-y-7}, x ≠ y, y ≠ 7 \)

D.\(\frac{-x-y}{y-7}, x ≠ y, y ≠ - 7 \)

Question 4 of 10

5. If the four data points listed were added to the scatter plot, which point would be an outlier?

A.(10, 190)

B.(40, 125)

C.(75, 50)

D.(80, 220)

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.12, -12

B.10, -10

C.11, 12

D.-12, -10

Question 6 of 10

Math-Evaluate expression

7. Simplify the given expression.

−52 − 8(−8)

A.12

B.13

C.46

D.-12

Question 7 of 10

Math- Equations

8. Solve the equation.

9x + 8 = 4 − 19x

A.\(-\frac{1}{7}\)

B.\(\frac{1}{7}\)

C.6

D.\(1\frac{1}{7}\)

Question 8 of 10

Math-Distributive Property

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

\(2st(−4s^{2}+ 8st − 10t^{2})\)

A.\(-8s^{3}t + 16s^{2}t^{2}- 20st^{3}\)

B.\(8s^{3}t + 16s^{2}t^{2}- 20st^{3}\)

C.\(-10s^{3}t + 16s^{2}t^{2}- 20st^{3}\)

D.\(-8s^{3}t - 16s^{2}t^{2} +20st\)

Question 9 of 10

Math-Percent to decimal

10. Convert the given percent to a decimal.

0.83%

A.0.0083

B.83

C.0.83

D.0.083

Question 10 of 10