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Expressions and Operations

Equations and Inequalities

Functions and Statistics

100

N/7 - 4 = 7
Which of the following sentences represents the equation above?

A. Four less than the product of 7 and a number is 7

B. Four less than the quotient of a number and 7 is 7.

C. Four less than the difference of a number and 7 is 7.

D. Four more than the quotient of a number and 7 is 7.

B

100

Solve for x.

$9x\ +\ 8\ =\ 14x\ -\ 6$

A. $x\ =\ \frac{2}{3}$

B. $x\ =\ \frac{14}{5}$

C. $x\ =\ -\frac{2}{3}$

D. $x\ =\ -\frac{14}{5}$

$x\ =\ \frac{14}{5}$

100

Which of the following relations describes a function?

A. { (3, 2), (3, 3), (3, 4), (3, 5) }

B. { (0, 0), (1, -1), (1, 1), (2, 2) }

C. { (1, 3), (2, 3), (3, 3), (4, 3) }

D. { (-1, 0), (0, -1), (0, 1), (1, 0) }

C. { (1, 3), (2, 3), (3, 3), (4, 3) }

200

Evaluate the following expression for z = 145.

$\vspace*{9 \hspace*{-10}} \\ \begin{array}{c}\hspace*{500} \\7\ +\ 6 \sqrt{z\ -\ 1}\end{array}$

79

200

Solve for x in the following equation.

$3x^2\ +\ 21x\ +\ 30\ =\ 0$

A. $x\ =\ 5;\ -2$

B. $x\ =\ -5;\ 2$

C. $x\ =\ -5;\ -2$

D. $x\ =\ 5;\ 2$

C. $x\ =\ -5;\ -2$

200

Find the zeros of the following function.

$f(x)\ =\ 2x^{2}\ -\ 4x\ -\ 16$

A. $x\ =\ -2;\ 4$

B. $x\ =\ 4;\ 2$

C. $x\ =\ -4;\ -2$

D. $x\ =\ -4;\ 2$

A.

$x\ =\ -2;\ 4$

300

Simplify.

$\left(\frac{3x^{2}y^{3}}{z^{}}\right)^{2}$

A. $\frac{3x^{4}y^{6}}{z^{2}}$

B. $\frac{9x^{4}y^{6}}{z^{2}}$

C. $\frac{3x^{4}y^{5}}{z^{3}}$

D. $\frac{9x^{4}y^{6}}{z^{}}$

B. $\frac{9x^{4}y^{6}}{z^{2}}$

300

Given the following formula, solve for a.

$s\ =\ \frac{a\ +\ b\ +\ c}{2}$

A. $a\ =\ 2s\ -\ b\ -\ c$

B. $a\ =\ s\ -\ \frac{b\ -\ c}{2}$

C. $a\ =\ s\ -\ \frac{b\ +\ c}{2}$

D. $a\ =\ 2s\ -\ b\ +\ c$

A.

$a\ =\ 2s\ -\ b\ -\ c$

300

If f(x) = x² + 6x - 6, find f(5).

A. 29

B. 34

C. 49

D. 61

C. 49

400

What is the factored form of the following expression?

9x² + 30x + 25

A. 9(x + 5)2

B. (3x + 5)(3x - 5)

C. (3x + 5)(5x - 3)

D. (3x + 5)²

D. (3x + 5)²

400

Solve for y in the two equations below using substitution.

$\begin{array}{rclB30B30} 3x\;-\;9y &=& 6\\ -2x\;+\;2y &=& 7 \end{array}$

A. $y\;=\;\frac{11}{4}$

B. $y\;=\;-\frac{11}{4}$

C. $y\;=\;-\frac{1}{4}$

D. $y\;=\;\frac{1}{4}$

B. $y\;=\;-\frac{11}{4}$

400

If f(x) = 2(x + 4)² + 98, find f(3).

A. 112

B. 196

C. 392

D. 98

B. 196

500

Simplify the following expression.

(5p + 5q)(-4p + 8q)

A. -20p² + 40q²

B. -20p² + 20pq + 40q²

C. -20p² + 60pq + 40q²

D. 1p + 13q

-20p² + 20pq + 40q²

500

Solve the inequality below for n.

14n - 5 > 8n + 25

A. $n\ \leq\ \frac{10}{3}$

B. $n\ \geq\ \frac{10}{3}$

C. $n\ \leq\ 5$

D. $n\ \geq\ 5$

D. $n\ \geq\ 5$

500

Every morning Ashley runs three miles. The velocity that Ashley runs is dependent on the length of time she runs. What type of variation describes the distance Ashley runs each morning?

A. both direct and inverse variation

B. direct variation

C. neither direct nor inverse variation

D. inverse variation

D. inverse variation