Wyoming Math 7.EE.4b
The Standard
Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations. Write and solve multi-step linear equations that include the use of the Distributive Property and combining like terms. Exclude equations that contain variables on both sides.
2023 Wyoming Mathematics Content and Performance Standards · Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students write an equation or inequality with one unknown to describe a situation. They solve multi-step equations by distributing, combining like terms, and undoing operations.
What Mastery Looks Like
- Given two passes with $3 snacks and one plain pass for $21, a student writes 2(x+3)+x=21 and finds x=5. They check the answer and say a plain pass costs $5.
Common Misconceptions
- Students may turn 2(x+3) into 2x+3 because they multiply only the x. They may combine unlike terms, such as changing 3x+6 to 9x.
How to Assess It
- Exit ticket: Two notebooks each cost x dollars plus a $2 cover, and one plain notebook costs x dollars. The total is $22. Write and solve an equation, then check your answer.
Lesson moves
Ways to Teach It
Use algebra tiles to build 2(x+3)+x=21, then group like tiles and remove equal amounts from both sides to find x.
Ask students to explain in writing why 2(x+3)+x=21 becomes 3x+6=21, not 3x+3=21.
Post a solution that changes 2(x+4)+3x=33 to 2x+4+3x=33; have pairs find the error and solve correctly.
Show a $33 receipt for five movie tickets and two $4 popcorn add-ons; students write an equation to find the ticket price.
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Printable 7.EE.4b Worksheet
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Related Standards
- 7.EE.4d
Identify and justify the steps for solving multi-step linear equations and two-step linear inequalities.
- 8.EE.7a
Solve linear equations and inequalities with rational number coefficients that include the use of the Distributive Property, combining like terms, and variable ...
- 8.EE.7
Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in real-world and mathematical situat...
- 6.EE.7
Write and solve real-world and mathematical problems in the form of one-step, linear equations involving non negative rational numbers.
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