Wyoming Math 7.EE.4d
The Standard
Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations. Identify and justify the steps for solving multi-step linear equations and two-step linear inequalities.
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 equations or inequalities from situations, then solve multi-step equations and two-step inequalities. They explain each move and say when an inequality sign must reverse.
What Mastery Looks Like
- Students can distribute, combine like terms, and isolate the variable without changing the solution. They check answers in the original problem and explain why dividing by a negative reverses an inequality.
Common Misconceptions
- Students may turn 3(x + 2) into 3x + 2 or combine 3x + 2 into 5x. They may reverse an inequality when subtracting, or forget to reverse it when dividing by a negative.
How to Assess It
- Exit ticket: Solve 3(x + 2) = 18 and -2x + 5 < 11. Explain each move and test x = 0 against your inequality answer.
Lesson moves
Ways to Teach It
Place two cups and six counters opposite fourteen counters on a balance mat; remove six from both sides and share the rest between cups.
Have students explain each step of -2x + 5 < 11, including why dividing by -2 reverses the sign.
Give pairs step cards for 3(x - 2) = 12 and -2x + 5 < 11; they sort correct moves from errors and fix them.
Give students a $20 arcade budget, a $5 entry fee, and $3 games; ask how many whole games they can play.
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Printable 7.EE.4d Worksheet
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Related Standards
- 7.EE.4b
Write and solve multi-step linear equations that include the use of the Distributive Property and combining like terms. Exclude equations that contain variables...
- 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...
- 7.EE.4c
Write and solve two-step linear inequalities. Graph the solution set on a number line and interpret its meaning.
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