Home / Worksheets / Grade 12 / Math / Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides

This worksheet provides practice on solving linear equations where variables appear on both sides of the equals sign.

Grade 12 Math AlgebraEquations with Variables on Both Sides
Use This Worksheet

Includes

3 Short AnswerFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSA.REI.B.3CCSS.MATH.CONTENT.HSA.CED.A.1

Topics

AlgebraEquationsVariablesHigh School Math
7 sections · Free to use · Printable
← More Math worksheets for Grade 12

Solving Equations with Variables on Both Sides

Name:

Date:

Score:

Solve each equation for the given variable. Show all your work clearly.

1. 3x + 7 = 2x + 12

2. 5y - 9 = 2y + 15

3. 4(z + 2) = 2z + 14

4. To solve an equation with variables on both sides, the first step is often to   the variable terms to one side of the equation.

5. In the equation 7x - 5 = 2x + 10, if you subtract 2x from both sides, you get   = 10.

6. 6(m - 3) + 2 = 4m + 8

7. 2(3p + 1) - 5 = 5p - 3

8. The equation 2x + 5 = 2x - 3 has no solution.

T

True

F

False

9. The equation 3(x + 1) = 3x + 3 has infinitely many solutions.

T

True

F

False

10. Company A offers a job with a starting salary of $30,000 and a $2,000 raise per year. Company B offers a starting salary of $36,000 and a $1,500 raise per year. After how many years will the salaries be equal?