Distribute on Both Sides, Then Solve
Written by Adi Ackerman, Head Teacher
"Distribute on Both Sides, Then Solve" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.EE.C.7.B. A 7th grader who is already steady on algebra can use it too, and an older student can use it as a short review.
8th grade math worksheet: distribute on both sides, then solve 8 equations such as 4(x + 3) = 6(x − 1) + 8. Answer key included. Part of our equations with variables on both sides algebra collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with Solve Equations With Variables on Both Sides, then add the distributing sheet. Save the two-page fractions sheet for students who are secure, and use the error sheet for discussion.
What students will practice
- Students will distribute on both sides of an equation.
- Students will combine like terms before collecting x on one side.
- Students will solve 8 equations such as −4(x + 1) = 2(x − 14).
Solve Equations by Combining Like Terms First
Combine Like Terms With Negatives, Then Solve
Solve Equations With the Distributive Property
Distribute a Negative Factor, Then Solve
Solve Multi-Step Equations With Fraction Coefficients
Solve Multi-Step Equations With Decimal Coefficients
Multi-Step Equations With Fraction Solutions
Solve Multi-Step Equations and Check Each Answer
Curriculum Links
Common Core State Standards
Expressions and Equations · 8th Grade
Standard: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
View all 8.EE.C.7.B worksheets →Find this in the curriculum
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FAQ
How do I use this equations with variables on both sides worksheet?
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Start with Solve Equations With Variables on Both Sides, then add the distributing sheet. Save the two-page fractions sheet for students who are secure, and use the error sheet for discussion.
What does this worksheet teach?
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Distribute on both sides, then solve 8 equations such as 4(x + 3) = 6(x − 1) + 8. The directions on the page read: Distribute on both sides and combine like terms. Then solve for x. An answer key is included.
Can I use this equations with variables on both sides worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade algebra, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you solve equations with variables on both sides?
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Add or subtract one of the x terms from both sides so x is on only one side. Then move the numbers to the other side and divide. For 5x + 6 = 2x + 21, subtract 2x to get 3x + 6 = 21, so x = 5.
Which side should the variable go on?
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Either side works and gives the same answer. Many students move the smaller x term so the coefficient stays positive. Both-Sides Equations With Negative Coefficients practices this choice.
What mistakes happen when moving terms across the equal sign?
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A common slip is adding a term to one side instead of subtracting it from both, as when 5x + 4 = 2x + 25 becomes 7x + 4 = 25. Find the Error When Moving Terms Across has students circle six such steps and fix them.
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Solve Equations by Combining Like Terms First
Combine Like Terms With Negatives, Then Solve
Solve Equations With the Distributive Property
Distribute a Negative Factor, Then Solve
Solve Multi-Step Equations With Fraction Coefficients
Solve Multi-Step Equations With Decimal Coefficients
Multi-Step Equations With Fraction Solutions
Solve Multi-Step Equations and Check Each Answer