Question 1

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

Accepted Answer

$$4x + 2 = 6$$

Question 2

What is the solution set for the equation $$x - 15 = 8$$?

Accepted Answer

$$\{23\}$$

Question 3

Which property allows you to add the same number to both sides of an equation without changing its solution?

Accepted Answer

Addition Property of Equality

Question 4

Solve for $$z in $$the equation $$z + 4.5 = 10.2.$$

Accepted Answer

$$z = 5.7$$

Question 5

A chemist mixes a solution and finds the equation $$c + 7 = 20$$ for the concentration $$c. $$What is the concentration?

Accepted Answer

$$c = 13$$

Question 6

Solve and check: $$5x = 15 + 3x.$$

Accepted Answer

Question 7

Combine like terms and solve: $$6y + 8 - 4y - 2 = 10.$$

Accepted Answer

$$y = 4$$

Question 8

A child’s vocabulary $$V$$ and age $$A in $$months are related by $$V + 900 = 60A. $$What is $$V$$ when $$A = 30$$?

Accepted Answer

Question 9

Solve for $$x$$: $$2x - 5 = x + 8.$$

Accepted Answer

$$x = 13$$

Question 10

Which of the following best describes the solution set for $$x + 2 = x + 5$$?

Accepted Answer

No solution

Question 11

A patient’s medication dosage $$D is $$modeled by $$D + 50 = 120. $$What is the correct dosage?

Accepted Answer

$$D = 70$$

Question 12

Solve and check: $$9x - 4 = 5x + 12.$$

Accepted Answer

$$x = 4$$

Question 13

Which step is necessary to solve $$x - 7 = 3$$?

Accepted Answer

Add 7 to both sides

Question 14

If $$a = b$$, which of the following is always true according to the Addition Property of Equality?

Accepted Answer

$$a + c = b + c$$

Question 15

A historical event occurred 25 years before 2020. If $$x is $$the year, which equation models this situation?

Accepted Answer

$$x + 25 = 2020$$

Question 16

Solve for $$x$$: $$7x = 21.$$

Accepted Answer

$$x = 3$$

Question 17

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

Accepted Answer

$$x^2 + 1 = 0$

Question 18

A car rental company charges a base fee plus $$20 per day. If the total cost is C$ and the number of days is d$, which equation models this?

Accepted Answer

$$C = 20d + 	ext{base fee}$$

Question 19

Solve for $$y$$: $$8y + 7 - 7y - 10 = 6 + 4.$$

Accepted Answer

$$y = 13$$

Question 20

If $$x - 9 = 12$$, what is the value of $$x$$?

Accepted Answer

$$x = 21$$

Linear Equations and the Addition Property of Equality

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