Question 1

Which of the following is the correct definition of absolute value?

Accepted Answer

The distance of a number from zero on the number line, always positive.

Question 2

Evaluate the following expression using the correct order of operations: $2 + 3 	imes (4 - 1)^2$

Accepted Answer

$29$

Question 3

Which set does the number $-\frac{7}{2}$ belong to?

Accepted Answer

Rational numbers

Question 4

Simplify the expression: $5x - 3(x + 2) + 4$

Accepted Answer

$2x - 2$

Question 5

Solve for $x$: $3x - 7 = 2x + 5$

Accepted Answer

$x = 12$

Question 6

Which property of real numbers is illustrated by the equation $a + b = b + a$?

Accepted Answer

Commutative Property of Addition

Question 7

A chemist mixes $-5$ degrees Celsius water with $12$ degrees Celsius water. What is the absolute value of the temperature difference?

Accepted Answer

$| -5 - 12 | = 17$

Question 8

Which of the following is the solution set for the inequality $2x - 3 > 7$?

Accepted Answer

$x > 5$

Question 9

What is the slope of the line passing through the points $(2, 3)$ and $(5, 15)$?

Accepted Answer

$4$

Question 10

Which equation represents a horizontal line passing through $(0, -2)$?

Accepted Answer

$y = -2$

Question 11

If $x$ is a solution to $|x - 4| = 7$, what are the possible values of $x$?

Accepted Answer

$x = 11$ or $x = -3$

Question 12

Which of the following is an example of a literal equation?

Accepted Answer

$A = lw$

Question 13

A student’s quiz scores are $18$, $20$, $15$, and $17$ out of $20$ points. What is the average quiz score?

Accepted Answer

$17.5$

Question 14

Which of the following is the correct roster notation for the set of even numbers between $2$ and $10$?

Accepted Answer

$\{4, 6, 8\}$

Question 15

Solve for $y$ in the equation $2y + 5 = 17$.

Accepted Answer

$y = 6$

Question 16

Which of the following is the correct interval notation for the solution set $x \geq 3$?

Accepted Answer

$[3, \infty)$

Question 17

A car rental company charges a base fee of $\$25$ plus $\$0.20$ per mile driven. Which equation models the total cost $C$ for $m$ miles?

Accepted Answer

$C = 25 + 0.20m$

Question 18

Which of the following is the solution to the inequality $-3x + 4 \leq 10$?

Accepted Answer

$x \geq -2$

Question 19

Which property is used in the equation $a(b + c) = ab + ac$?

Accepted Answer

Distributive Property

Question 20

If the equation of a line is $y = 3x - 7$, what is the $y$-intercept?

Accepted Answer

$-7$

Math 021: PreAlgebra II – Course Structure and Key Concepts

Study Guide - Practice Questions