Equivalent Equations Worksheet
This worksheet helps 7th-grade students understand and practice solving equivalent equations.
Includes
Standards
Topics
Equivalent Equations
Name:
Date:
Score:
Read each question carefully and follow the instructions. Show all your work for full credit.
1. What does it mean for two equations to be equivalent?
2. Which of the following equations is equivalent to x + 5 = 12?
x = 12 - 5
x - 5 = 12
x + 12 = 5
5x = 12
3. To make the equation 3x = 15 equivalent to x = 5, you must both sides of the equation by .
4. The equations 2x + 1 = 7 and 2x = 6 are equivalent.
True
False
5. Solve the equation 4x - 8 = 12. Then, write an equivalent equation that has been solved for x.
6. The image below represents an equation. If the circles represent positive units and the rectangles represent 'x', write the equation shown and then write an equivalent equation.
Original Equation:
Equivalent Equation:
Match each equation on the left with an equivalent operation on the right.
7. x + 7 = 10
a. Divide by 4
8. x - 3 = 5
b. Subtract 7
9. 4x = 20
c. Add 3
10. x / 2 = 6
d. Multiply by 2
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