Solving Linear Equalities

Solving Linear Equations & Inequalities Practice

​Examples of solving linear equations.

Multiple Choice

Solve this equation, check your answer.

2x + 3(5x - 7) = 47

• x = 1

• x = 2

• x = 3

• x = 4

Multiple Choice

Solve the equation, check your answer.

-11 + 3(b + 5) = 7

• 0
• 1
• -5
• 3

Multiple Choice

Cheryl gets paid $8 per hour for her job at the record store. She made a total of $96 last week. Which equation models this situation?

• h = 12
• 96h = 8
• 8h + 96 = 0
• 8h = 96

Multiple Choice

Which choice describes the step needed to isolate the variable? (Tap outside of the gray box to see the equation.)

• Subtract the variable from both sides of the equation.
• Multiply both sides by 11.

• Multiply both sides by the variable.
• Add the same number to both sides of the equation.

Multiple Choice

Solve the equation: 5 = 4 - x

• -1
• -2
• 1
• 0

Multiple Choice

Simplify 5x + 3 -2x + 1

• 3x + 4
• 2x + 5
• 4x + 3
• 5x + 1

Multiple Choice

What is the first step to complete when solving this equation? 10 - 3y = 4

• Divide both sides by 4.
• Multiply both sides by 10.
• Subtract 10 from both sides of the equation.
• Add 3y to both sides of the equation.

Multiple Choice

Solve the equation:

2x - 3 + 4x = 27

• 5
• 10
• 6
• 4

Multiple Choice

Solve the equation shown, tap the picture to make it bigger.

• x = 24

• x = 12

• x = 17.5

• x = 19.5

Multiple Choice

Solve for x:

-5(4x-2) = -2(3+6x)

• 1
• -2
• 2
• 0

Multiple Choice

Challenge Question, solve for x:

-3.1x+7- 7.4x = 1.5x - 6(x - 3/2)

• -1/3
• -2
• 1/2
• 0

​Examples of solving and graphing linear inequalities with one-variable.

​You should also referece your 1.6 notes!

Multiple Choice

-3 + x ≤ -11

• x ≤ -8
• x ≤ 8
• x ≥ -8
• x ≥ 8

Multiple Choice

6x - 4 ≥ 26

• x ≥ 3.67
• x ≥ 5
• x < 5
• x ≤ 5

Multiple Choice

2x - 3 ≥ 4x - 1 

• x ≤ -1
• x ≥ -1
• x ≤ 1
• x ≥ 1

Multiple Choice

-2x + 3(-4x + 6) ≤116

• x ≤ -7
• x ≥ 29
• x ≥ -7
• x ≤ 29

Multiple Choice

Which graph represents the inequality 2x - 3 < - 7

Multiple Choice

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she can spend no more than $35 in all.

• .50x + 20 ≥ 35

• .50x < 35

• 20 + 0.50x ≤ 35

• .50x - 20 = 35