Wyoming Math 7.EE.4c
The Standard
Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations. Write and solve two-step linear inequalities. Graph the solution set on a number line and interpret its meaning.
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 use a letter for an unknown amount when a cost or limit is given. They isolate the letter, mark the answers on a number line, and explain which answers fit the situation.
What Mastery Looks Like
- A student can solve −2x + 5 < 11 as x > −3. They graph it with an open circle at −3 and an arrow to the right, then check a value from that range.
Common Misconceptions
- Students often forget to reverse the inequality sign when dividing by a negative number. They may use a filled dot for < or >, or include fractional answers when counting whole items.
How to Assess It
- On an exit ticket, ask: “Solve −3x + 4 ≤ 10, graph the solution on a number line, and test x = −2.”
Lesson moves
Ways to Teach It
Give pairs integer cards from −5 to 5 and a paper number line; have them test 2x + 3 ≤ 9 and shade solutions.
Ask students to explain why −2x > 6 becomes x < −3, using x = −4 and x = −2 as evidence.
Run a timed match: pairs connect inequality cards, answer cards, and graph cards, including 3x − 2 ≥ 7 and x ≥ 3.
Post a $5 entry fee and $4-per-game price list; students use $25 to write an inequality and graph possible game counts.
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Printable 7.EE.4c Worksheet
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Related Standards
- 8.EE.8b
Solve systems of two linear equations in two variables with integer solutions by graphing the equations.
- 7.EE.4d
Identify and justify the steps for solving multi-step linear equations and two-step linear inequalities.
- 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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