Mississippi Math FA.A.9

MathGrades 9–12Algebra (A) Equations and Inequalities

The Standard

Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Solve inequalities of these forms fluently. (7.EE.4b)

2025 Mississippi College- and Career-Readiness Standards for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students turn word problems into inequalities with decimals or fractions. They solve for the unknown and decide which answers make sense in the story.

What Mastery Looks Like

Given a $2 fee and $3.50 per ticket with less than $20 to spend, a student writes 3.5x + 2 < 20 and finds a limit of five tickets. They check that five tickets cost $19.50 and six cost $23.

Common Misconceptions

Students may use an equals sign for a spending limit or include the limit when the problem says less than. They may forget to reverse the inequality sign when dividing by a negative number, or give a fraction of a ticket as the answer.

How to Assess It

A tank starts with 12 liters and loses 0.75 liter per minute. After how many whole minutes will it still have more than 6 liters? Write and solve an inequality.

Lesson moves

Ways to Teach It

  1. Give pairs paper number lines and counters to mark every whole-number solution to 0.5x + 2 < 5.

  2. Ask why -0.5x + 3 > 1 gives x < 4, then have students test x = 6 against both claims.

  3. Have pairs match '$3.50 per ticket plus $2, under $20' to 3.5x + 2 < 20, then reject six tickets.

  4. Use an $8 phone fee and $0.25 per text; find how many whole texts keep the bill under $15.

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Printable FA.A.9 Worksheet

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