Mississippi Math FA.A.7

MathGrades 9–12Algebra (A) Equations and Inequalities

The Standard

Fluently solve and check multi-step equations and inequalities with an emphasis on the distributive property, variables on both sides, and rational coefficients. Explain each step when solving a multi-step equation and inequality. Justify each step using the properties of real numbers.

2025 Mississippi College- and Career-Readiness Standards for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students solve equations and inequalities with parentheses, fractions, and a variable on each side. They explain why each move is valid and check their answers.

What Mastery Looks Like

A student distributes correctly, clears fractions on both sides, and isolates the variable. They name the property behind each move and reverse an inequality when dividing by a negative. They substitute to check an equation and test values on either side of an inequality boundary.

Common Misconceptions

Some students multiply only the first term inside parentheses or clear fractions on only one side. Others move a term across the equal sign without changing its sign. They may forget to reverse an inequality when dividing by a negative.

How to Assess It

Exit ticket: Solve −(1/2)(x − 2) > x + 4. Label the property used at each step, then test x = −4 and x = 0.

Lesson moves

Ways to Teach It

  1. Use a balance mat, paper x-cards, and half-unit squares to model 2(x + 1/2) = x + 4.

  2. Ask students to explain in writing why 3(x − 2) = x + 4 becomes 3x − 6 = x + 4.

  3. Give pairs step cards for −2(x − 1) > x + 5; have them order the steps and mark where the inequality flips.

  4. Compare phone plans costing $12 plus $0.08 per text and $18 plus $0.05 per text; find when the first costs less.

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Printable FA.A.7 Worksheet

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