Mississippi Math 8.EE.7b

Math8th GradeExpressions and Equations (EE) Work with Radicals and Integer Exponents

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

  1. Give pairs paper x-strips and unit squares; have them model 1/2(x + 6) = x/4 + 5 on a balance mat.

  2. Ask students to write why the sign reverses when solving -2(x - 1) > 8, using x = -4 to check.

  3. Play a matching game with cards for -2(x - 1) > 8, -2x + 2 > 8, and x < -3.

  4. 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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Printable 8.EE.7b Worksheet

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