Solving Equations With Variables on Both Sides
Authored by Jeremy Sanders
Mathematics
8th Grade
CCSS covered
Used 5K+ times
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About
This quiz focuses on solving linear equations with variables appearing on both sides of the equation, a fundamental algebraic skill appropriate for 8th grade mathematics. Students must demonstrate their understanding of the properties of equality, including the addition and subtraction properties that allow them to move terms from one side of an equation to the other, as well as the multiplication and division properties needed to isolate the variable. The problems require students to systematically collect like terms, combine variable terms on one side and constant terms on the other, and then perform inverse operations to solve for the unknown. Students need a solid foundation in integer operations, the distributive property, and combining like terms to successfully navigate these multi-step equations that range from relatively simple two-step problems to more complex expressions involving negative coefficients and multiple terms. Created by Jeremy Sanders, a Mathematics teacher in the US who teaches grade 8. This quiz serves as an excellent tool for both formative assessment and targeted practice as students develop fluency with algebraic equation solving. Teachers can deploy this as a warm-up activity to activate prior knowledge, assign it as homework to reinforce classroom instruction, or use it as a review tool before summative assessments. The variety of problem types allows educators to identify specific areas where students may struggle, such as working with negative solutions or managing equations with multiple variable terms. This content directly supports Common Core State Standards 8.EE.C.7, which requires students to solve linear equations in one variable and give examples of linear equations with one solution, infinitely many solutions, or no solutions, and aligns with the algebraic reasoning standards that form the foundation for high school mathematics courses.
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15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Solve for f:
f - 4 = 6f + 26
Tags
CCSS.6.EE.B.5
CCSS.6.EE.B.6
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Solve for x:
5x - 14 = 8x + 4
Tags
CCSS.6.EE.B.5
CCSS.6.EE.B.6
CCSS.6.EE.B.7
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Solve for x:
5x - 14 = 8x + 4
Tags
CCSS.6.EE.B.5
CCSS.6.EE.B.6
CCSS.6.EE.B.7
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Solve the equation:
7x - 4 = 3 + 8x
Tags
CCSS.6.EE.B.5
CCSS.6.EE.B.6
CCSS.6.EE.B.7
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Solve the equation
4x - 5x + 9 =5x - 9
Tags
CCSS.6.EE.B.5
CCSS.6.EE.B.6
CCSS.6.EE.A.2
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
14p - 8 = 22 + 20p
-5
5
30
-30
Tags
CCSS.6.EE.B.5
CCSS.6.EE.B.6
CCSS.6.EE.B.7
CCSS.6.EE.A.2
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The goal of solving a one, two, or multi-step equations is to:
Find the constant
Find the coefficient
Find the value of the variable
Be confused
Tags
CCSS.6.EE.B.7
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