Q: A chemist needs to mix a 10% saline solution with a 30% saline solution to obtain 20 liters of a 25% saline solution. Let $x$ be the amount (in liters) of the 10% solution used. Which equation models this scenario?

$0.10x + 0.30(20 - x) = 0.25 \times 20$

Q: Which of the following best describes the graph of $y = -2x + 5$?

A straight line with a negative slope

Question 1

Which of the following equations represents a linear equation in one variable?

Accepted Answer

$2x + 5 = 11$

Question 2

Solve for $x$: $3(x - 2) = 2x + 4$

Question 3

Which of the following is the correct solution to the equation $5x - 7 = 3x + 9$?

Accepted Answer

$x = 8$

Question 4

A chemist needs to mix a 10% saline solution with a 30% saline solution to obtain 20 liters of a 25% saline solution. Let $x$ be the amount (in liters) of the 10% solution used. Which equation models this scenario?

Accepted Answer

$0.10x + 0.30(20 - x) = 0.25 	imes 20$

Question 5

Which of the following is the solution set for the inequality $2x - 5 < 9$?

Accepted Answer

$x < 7$

Question 6

If $f(x) = 3x - 4$, what is $f(2)$?

Accepted Answer

$2$

Question 7

Which of the following best describes the graph of $y = -2x + 5$?

Accepted Answer

A straight line with a negative slope

Question 8

Solve the proportion: $\frac{3}{x} = \frac{6}{8}$

Accepted Answer

$x = 4$

Question 9

Which of the following is the solution to the equation $\frac{2x}{5} = 8$?

Accepted Answer

$x = 20$

Question 10

A car rental company charges a flat fee of $\$50$ plus $\$0.20$ per mile driven. Which equation represents the total cost $C$ for driving $m$ miles?

Accepted Answer

$C = 50 + 0.20m$

Question 11

Which of the following is the solution to the equation $|x - 3| = 7$?

Accepted Answer

$x = 10$ or $x = -4$

Question 12

Which of the following is the correct solution to the compound inequality $-2 < x + 1 \leq 5$?

Accepted Answer

$-3 < x \leq 4$

Question 13

A rectangle has a length that is 3 times its width. If the perimeter is 48 units, what is the width?

Accepted Answer

$6$

Question 14

Which of the following is the solution to the equation $2(x - 3) = 4x + 6$?

Accepted Answer

$x = -6$

Question 15

If $y$ varies directly as $x$ and $y = 12$ when $x = 4$, what is the value of $y$ when $x = 10$?

Accepted Answer

$y = 30$

Question 16

Which of the following is the solution to the equation $\frac{x}{3} + 2 = 5$?

Accepted Answer

$x = 9$

Question 17

A student scored 85, 90, and 95 on three tests. What score must the student get on the fourth test to have an average of 90?

Accepted Answer

$90$

Question 18

Which of the following is the solution to the equation $4x + 7 = 3x - 2$?

Accepted Answer

$x = -9$

Question 19

If $a = 2$ and $b = -3$, what is the value of $2a - 3b$?

Accepted Answer

$13$

Question 20

Which of the following is the solution to the equation $\frac{5}{x} = 2$?

Accepted Answer

$x = 2.5$

Unit 2 Review: Linear Equations, Ratios, and Proportions

Study Guide - Practice Questions

Study Guide - Flashcards