Question 1

Which of the following is the correct value for $-5 \cdot 2^3 + 2 - (-2)^2$?

Accepted Answer

$-42$

Question 2

Simplify $\left( \frac{-4}{5} \right) \left( \frac{-3}{2} \right)$.

Accepted Answer

$\frac{6}{5}$

Question 3

What is the result of $\frac{2}{5} - \frac{3}{2}$?

Accepted Answer

$-\frac{11}{10}$

Question 4

Which of the following is undefined?

Accepted Answer

$\frac{3}{0}$

Question 5

Calculate $(3.276)(100,000)$.

Accepted Answer

$327,600$

Question 6

Simplify $\frac{16x^2}{4x^7}$.

Accepted Answer

$4x^{-5}$

Question 7

What is the slope of the line $2x - 7y = 8$?

Question 8

What is the equation of the line perpendicular to $2x - 7y = 8$ passing through $(1, -5)$?

Accepted Answer

$y + 5 = -\frac{7}{2}(x - 1)$

Question 9

Given points $(2, 4)$ and $(-8, 7)$, what is the slope of the line through these points?

Accepted Answer

$-\frac{1}{10}$

Question 10

What is the equation of the line through $(2, 4)$ and $(-8, 7)$?

Accepted Answer

$y - 4 = -\frac{1}{10}(x - 2)$

Question 11

Solve the equation $3(2x + 1) - 2(x + 5) = 4(x - 3)$.

Accepted Answer

$x = -1$

Question 12

Find the domain of $f(x) = \sqrt{3x + 9}$.

Accepted Answer

$x \geq -3$

Question 13

Find the domain of $h(x) = \frac{2}{\sqrt{3x + 11}}$.

Accepted Answer

$x \geq -\frac{11}{3}$

Question 14

Given the piecewise function $f(x) = \begin{cases} 3x - 2 & x \leq 0 \ x^2 & 0 < x < 3 \ 2x + 3 & x \geq 3 \end{cases}$, what is $f(-4)$?

Accepted Answer

$-14$

Question 15

Let $f(x) = x^2 + 2$ and $g(x) = 3x - 2$. What is $(f + g)(2)$?

Question 16

Let $f(x) = x^3$ and $g(x) = 2x - 5$. What is $(f - g)(x)$?

Question 17

If the revenue from producing $x$ units is $R(x) = 20x - 2x^2$ and the cost from producing $x$ units is $C(x) = 5x + 2$, what is the profit $P(x)$?

Accepted Answer

$15x - 2x^2 + 2$

College Algebra Study Guide: Functions, Equations, and Graphs

Study Guide - Practice Questions