Mississippi Math ATM.EE.26
The Standard
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 · Expressions, Equations and Functions
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students expand parentheses, combine like terms, and solve equations and inequalities with fractions or decimals. When they multiply or divide by a negative number, they reverse the inequality sign.
What Mastery Looks Like
- A student can solve (x+1)/2+x/4=2 and -3x/4≥6. They check the equation by substitution and mark the inequality's solutions on a number line.
Common Misconceptions
- Students may write (x+1)/2 as x/2+1, leaving the constant out of the division. They may combine x/2+x/4 as 2x/6 or forget to reverse an inequality sign when dividing by a negative fraction.
How to Assess It
- On an exit slip, ask students to solve -1/2(2x-4)+x/4=5 and -1/2(2x-4)+x/4≥5. Have them check the equation by substitution and mark the inequality on a number line.
Lesson moves
Ways to Teach It
Give pairs cards marked x/2, x/4, and 1/2; have them build and solve (x+1)/2+x/4=2.
Ask students why -3x/4≥6 gives x≤-8, then have them test -10 and -6.
Mix cards showing -x/2≥2, (x+1)/2=3, x≤-4, and x=5; pairs match each problem to its solution.
Post a $12 fair entry fee and $2.50 per ride; students solve 12+2.50r≤32 for the maximum whole rides.
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Printable ATM.EE.26 Worksheet
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Related Standards
- FA.A.7
Fluently solve and check multi-step equations and inequalities with an emphasis on the distributive property, variables on both sides, and rational coefficients...
- 8.EE.7b
Solve linear equations and inequalities with rational number coefficients, including those whose solutions require expanding expressions using the distributive ...
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