Math Practice Test Set 10 - My Career Tools

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

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 1 of 10

2. If y varies inversely as x and y = 8 when x = 3, find the value of x when y = 12.

A.8

B.-8

C.2

D.-2

Question 2 of 10

Math-Solution of equations

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

2x + 2y = 4
3x − 5y = 3

A.\((\frac{13}{8}, \frac{3}{8}) \)

B.\(-(\frac{13}{8}, \frac{3}{8}) \)

C.\((\frac{13}{9}, \frac{3}{9}) \)

D.\(-(\frac{13}{9}, \frac{3}{8}) \)

Question 3 of 10

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

6x + y = 8
4x + 2y = 0

A.(2,-4)

B.-(2,-4)

C.(2,4)

D.8

Question 4 of 10

Math-Slope

5. Calculate the slope of the line passing through the points P and Q. Be sure to reduce your answer to lowest terms.

P(0, 11), Q(16,−11)

A.\(-\frac{11}{8}\)

B.\(1\frac{3}{8}\)

C.\(\frac{11}{8}\)

D.\(\frac{8}{11}\)

Question 5 of 10

6. Calculate the slope of the line passing through the points P and Q. Be sure to reduce your answer to lowest terms.

P(9, 0), Q(−9, 15)

A.\(-\frac{5}{6}\)

B.\(\frac{6}{5}\)

C.\(-\frac{6}{5}\)

D.\(\frac{5}{6}\)

Question 6 of 10

Math-Inequalities

7. Solve the given inequality.

5x + 18 < 38

A.4

B.-4

C.\(\frac{2}{3}\)2/3

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

Question 7 of 10

Math-Exponents

8. Simplify the given exponential expression.

\(4^{n} \cdot 4^{8n+3}\)

A.\(4^{9n+3} \)

B.\(-4^{9n+3} \)

C.\(4^{9n-3} \)

D.\(-4^{9n-3} \)

Question 8 of 10

Math-Percent of number

9. What number is 22.4% of 125?

A.28

B.27

C.56

D.14

Question 9 of 10

Math-Evaluate expression

10. \(-5x^{2} + 2xy - 4y^{2}\) at \(x = 5\) and \(y = 0\)

A.-125

B.125

C.115

D.-115

Question 10 of 10