Question 1

Which of the following numbers is both rational and an integer?

Accepted Answer

$$-3$$

Question 2

Which property of real numbers is illustrated by the equation $$2 	imes (3 + 4) = 2 	imes 3 + 2 	imes 4$$?

Accepted Answer

Distributive Property

Question 3

If $$A = B$$, then which of the following is always true according to the properties of equality?

Accepted Answer

$$A + C = B + C$$

Question 4

A bank offers a savings account with a simple interest rate of $$5\%$$ per year. If you deposit $$\1000$, how much interest will you earn in 3 years?

Accepted Answer

$$\150$

Question 5

Which of the following intervals represents all real numbers $$x$$ such that $$-2 \u003c x \leq 5$$?

Accepted Answer

$$(-2, 5]$$

Question 6

If you multiply or divide both sides of an inequality by a negative number, what must you do?

Accepted Answer

Reverse the direction of the inequality sign

Question 7

Which of the following is the correct formula for compound interest, compounded annually?

Accepted Answer

$$A = P(1 + r)^t$$

Question 8

A function is defined as a relation where:

Accepted Answer

Every $$x$$ has only one $$y$$

Question 9

Which of the following best describes the graph of $$y = 3$$?

Accepted Answer

A horizontal line with slope zero

Question 10

Given the equation $$y = 2x + 5$$, what is the slope and y-intercept?

Accepted Answer

Slope: $$2$$, y-intercept: $$5$$

Question 11

Which of the following is NOT a function?

Accepted Answer

A relation where one $$x$$ value is paired with two different $$y$$ values

Question 12

If two lines are perpendicular, what is true about their slopes?

Accepted Answer

Their slopes are negative reciprocals

Question 13

Solve the absolute value inequality $$|x - 3| \u003c 5.$$

Accepted Answer

$$-2 \u003c x \u003c 8$$

Question 14

Which of the following best describes a system of equations that is consistent and dependent?

Accepted Answer

The system has infinitely many solutions

Question 15

What is the solution to the system of equations: $$\begin{cases} x + y = 4 \ x - y = 2 \end{cases}$$?

Accepted Answer

$$(3, 1)$$

Question 16

Which of the following is the correct definition of the reflexive property?

Accepted Answer

$$A = A$$

Question 17

If $$f(x) = 2x + 1$$, what is $$f(3)$$?

Accepted Answer

$$7$$

Question 18

Which of the following best describes a piecewise function?

Accepted Answer

A function defined by different expressions for different intervals of the domain

Question 19

If a line passes through the points $$(1, 2)$$ and $$(3, 6)$$, what is its slope?

Accepted Answer

$$2$$

Question 20

Which of the following statements about the coordinate plane is true?

Accepted Answer

The $$x-$$axis is the independent variable and the $$y-$$axis is the dependent variable

College Algebra Midterm Review: Key Concepts and Study Guide

Study Guide - Practice Questions