Question 1

A rideshare company charges a flat fee of $6 plus $0.75 per hour. Which equation models the total cost $C$ for $h$ hours of service?

Accepted Answer

$C = 0.75h + 6$

Question 2

Solve for $x$: $2x + 5 < -9$. Express your answer in interval notation.

Accepted Answer

$(-\infty, -7)$

Question 3

Which of the following lines is perpendicular to $y = -2x + 7$?

Accepted Answer

$y = \frac{1}{2}x - 1$

Question 4

A coffee shop sells small coffees for $3 and large coffees for $5. If the shop sold 65 coffees for a total of $245, how many small coffees were sold?

Accepted Answer

40

Question 5

Solve the absolute value equation: $|2x + 5| = 9$

Accepted Answer

$x = 2$ or $x = -7$

Question 6

Which of the following is the correct set-builder notation for the solution to $3x - 4 \leq 16$?

Accepted Answer

$\{x \mid x \leq 4\}$

Question 7

Given $f(x) = x^2 - 4x + 6$ and $g(x) = 5x - 2$, find $f(g(-1))$.

Accepted Answer

$f(g(-1)) = 41$

Question 8

Which of the following equations represents a line parallel to $y = \frac{3}{2}x - 1$ and passing through the point $(0, -2)$?

Accepted Answer

$y = \frac{3}{2}x - 2$

Question 9

Solve the system of equations: $\begin{cases} 2x + 3y = 11 \ 3x - y = 9 \end{cases}$

Accepted Answer

$(2, 3)$

Question 10

A club sells regular tickets for $12$ and VIP tickets for $20$. If it sold $250$ tickets and made $3940$, how many VIP tickets were sold?

Accepted Answer

95

Question 11

Which of the following is the correct interval notation for the solution to $7x - 4 < 17$?

Question 12

Which of the following is the correct solution to the system: $\begin{cases} x - 2y = 8 \ 4x - y = 1 \end{cases}$?

Question 13

Which of the following is the correct $y$-intercept for the line $y = \frac{3}{2}x - 1$?

Accepted Answer

$-1$

Question 14

If $|x - 4| = 8$, what are the solutions for $x$?

Accepted Answer

$x = 12$ or $x = -4$

Question 15

A bookstore sells notebooks for $2 and binders for $6. If it sold 120 items for $420, how many notebooks were sold?

Accepted Answer

90

Question 16

Which of the following is the correct slope for a line perpendicular to $y = \frac{2}{3}x + 2$?

Accepted Answer

$-\frac{3}{2}$

Question 17

Given $f(x) = 2x^2 + 3x - 1$ and $g(x) = x^2 + 4x - 5$, what is $f(1) + g(2)$?

Accepted Answer

16

Question 18

Which of the following is the correct point-slope form for a line passing through $(4, -1)$ with slope $m = 2$?

Accepted Answer

$y + 1 = 2(x - 4)$

College Algebra: Linear Equations, Inequalities, Graphs, and Systems – Study Guide

Study Guide - Practice Questions