Question 1

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

Accepted Answer

$$4x + 7 = 43$$

Question 2

Solve the linear equation: $$4x + 7 = 43$$

Accepted Answer

$$x = 9$$

Question 3

Which of the following best describes the solution set of a linear equation in one variable?

Accepted Answer

A single real number

Question 4

Given the equation $$11x - (6x - 5) = 40$$, what is the value of $$x$$?

Accepted Answer

$$x = 5$$

Question 5

Which of the following is NOT a linear equation in one variable?

Accepted Answer

$$x^2 = 19$

Question 6

Solve for $$x$$: $$\frac{x}{5} = \frac{x}{6} + 1$$

Accepted Answer

$$x = 30$$

Question 7

Which of the following is the correct definition of a linear equation in one variable?

Accepted Answer

An equation that can be written in the form $$ax + b = 0$$, where $$a 
eq 0$$

Question 8

Solve for $$x$$: $$2(x - 1) + 3 = x - 3(x + 1)$$

Accepted Answer

$$x = -2$$

Question 9

A chemist needs to solve $$\frac{3x}{5} - \frac{x-3}{2} = \frac{x+2}{3} to $$determine the concentration of a solution. What is the value of $$x$$?

Accepted Answer

$$x = 6$$

Question 10

Which of the following equations is equivalent to $$4x + 7 = 43$$?

Accepted Answer

$$4x = 36$$

Question 11

Solve for $$x$$: $$\frac{x}{4} = 2 + \frac{x-3}{3}$$

Accepted Answer

$$x = 15$$

Question 12

Which of the following best describes 'equivalent equations'?

Accepted Answer

Equations that have the same solution set

Question 13

A medical researcher is analyzing a dosage equation: $$2x - \frac{2x}{7} = \frac{x}{2} + \frac{17}{2}. $$What is the value of $$x$$?

Accepted Answer

$$x = 14$$

Question 14

Which of the following is a solution to $$7x + 4 = x + 16$$?

Accepted Answer

$$x = 3$$

Question 15

If $$ax + b = 0 is a $$linear equation in one variable, which of the following must be true?

Accepted Answer

$$a 
eq 0$$

Question 16

Solve for $$x$$: $$x - 3(x + 1) = 2(x - 1) + 3$$

Accepted Answer

$$x = -2$$

Question 17

Which of the following is the solution set for $$x^2 = 19$?

Accepted Answer

$$\{\sqrt{19}, -\sqrt{19}\}$$

Question 18

A business calculates profit using $$P = 4x + 7. If $$the profit is $$43$$, what is the value of $$x$$?

Accepted Answer

$$x = 9$$

Question 19

Which of the following equations contains fractions but is still linear in one variable?

Accepted Answer

$$\frac{x}{5} = \frac{x}{6} + 1$$

Linear Equations in One Variable: College Algebra Section 1.2 Study Guide

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