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
Related Worksheets
Solving Three-Step Equations
A Grade 7 math worksheet focused on solving linear equations requiring three steps, including combining like terms, distribution, and inverse operations.
Parts of an Expression Worksheet
Identify and understand the different parts of algebraic expressions including terms, coefficients, variables, and constants.
Properties of Equality Worksheet
Explore and apply the fundamental properties of equality to solve algebraic equations.
Rearranging Equations Worksheet
Practice rearranging linear equations to solve for different variables, suitable for Grade 7 math students.
Factoring Expressions Worksheet
A Grade 7 math worksheet focusing on factoring algebraic expressions, including finding common factors and factoring simple quadratics.
Exploring Intercepts
A Grade 7 math worksheet focusing on understanding x-intercepts and y-intercepts on a coordinate plane.
Naming Polynomials Worksheet
A Grade 7 math worksheet focusing on identifying and classifying polynomials by degree and number of terms.
Translating Sentences into Equations
Practice translating word problems and verbal statements into algebraic equations.