Equivalent Equations Worksheet
A Grade 8 math worksheet focused on understanding and identifying equivalent equations through various problem types.
Includes
Standards
Topics
Equivalent Equations
Name:
Date:
Score:
Read each question carefully and follow the instructions to determine whether equations are equivalent or to solve for the unknown.
1. Which of the following equations is equivalent to 3x + 5 = 14?
3x = 9
x + 5 = 14
3x = 19
x = 14 - 5
2. Which operation transforms 2x - 7 = 11 into 2x = 18?
Subtract 7 from both sides
Add 7 to both sides
Multiply both sides by 7
Divide both sides by 7
3. To isolate the variable in the equation x/4 = 12, you would both sides by 4.
4. Equations that have the same solution are called equations.
5. The equation 5x = 20 is equivalent to x = 4.
True
False
6. Adding the same number to both sides of an equation results in an equivalent equation.
True
False
7. Write an equivalent equation for 2(x + 3) = 10 by distributing the 2.
8. Explain how you can check if two equations are equivalent.
9. The image below represents a balanced equation. If each circle on the left represents 'x' and each square on the right represents '1', write the algebraic equation represented by the scale and then an equivalent equation if you remove one circle and its corresponding balance from each side.
Original Equation:
Equivalent Equation:
Related Worksheets
Proportional Equations Worksheet
This worksheet focuses on understanding and solving proportional equations, including identifying proportionality, calculating constants of proportionality, and solving real-world problems.
Inductive Reasoning Practice
This worksheet helps 8th-grade students practice inductive reasoning by identifying patterns and making conjectures.
Naming Polynomials Worksheet
This worksheet helps grade 8 students practice naming polynomials based on their degree and number of terms.
Substitution Method Practice
Practice solving systems of linear equations using the substitution method.
Simplifying Equations Worksheet
This worksheet provides practice on simplifying algebraic equations for 8th-grade students, covering combining like terms, distributive property, and solving multi-step equations.
FOIL Method Practice
Practice worksheet for students to master the FOIL method for multiplying binomials.
Grade 8 Linear Systems Worksheet
A comprehensive worksheet for 8th-grade students covering linear systems, including solving by graphing, substitution, and elimination.
Properties of Equality Worksheet
Explore and apply the properties of equality (addition, subtraction, multiplication, division, substitution, and reflexive) to solve algebraic equations.