Mississippi Math 8.EE.7b
The Standard
- 8.EE.7
- Solve linear equations in one variable.
Solve linear equations and inequalities with rational number coefficients, including those whose solutions require expanding expressions using the distributive property and collecting like terms.
2025 Mississippi College- and Career-Readiness Standards for Mathematics · Analyze and Solve Linear Equations and Pairs of Simultaneous Linear Equations
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students solve equations and inequalities with fractions and decimals. They distribute, combine like terms, isolate the variable, and check their work.
What Mastery Looks Like
- A student solves 1/2(x + 6) - 1 = x/4 + 5 and gets x = 12. They solve -2(x - 1) > 8, write x < -3, and mark an open circle at -3.
Common Misconceptions
- Students may distribute a fraction to only the first term or combine terms across the equal sign. They may forget to reverse the inequality when dividing by a negative.
How to Assess It
- Exit ticket: Solve 1/2(x + 6) - 1 = x/4 + 5 and -1/2(x + 4) + 3 > 1. Graph the inequality solution.
Lesson moves
Ways to Teach It
Give pairs paper x-strips and unit squares; have them model 1/2(x + 6) = x/4 + 5 on a balance mat.
Ask students to write why the sign reverses when solving -2(x - 1) > 8, using x = -4 to check.
Play a matching game with cards for -2(x - 1) > 8, -2x + 2 > 8, and x < -3.
Give students a 25% off flyer and $30 budget; have them solve 0.75(2x + 4) ≤ 30 for two shirts and a $4 hat.
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