Mississippi Math FA.A.10

MathGrades 9–12Algebra (A) Equations and Inequalities

The Standard

Graph the solution point of an equation and the solution set of an inequality in one variable on a horizontal number line. For inequalities, be able to interpret and write the solution set in a variety of ways (e.g., set notation).

2025 Mississippi College- and Career-Readiness Standards for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students solve an equation and mark its answer as a point on a horizontal number line. For an inequality, they graph every value that works and write the solution set in words and set notation.

What Mastery Looks Like

Given 2x + 1 = 7, a student marks only 3. Given 2x + 1 ≤ 7, they put a filled circle at 3, shade left, and write {x | x ≤ 3}.

Common Misconceptions

Students may put a filled circle at 3 for x < 3, even though 3 is excluded. They may shade right or mark only 3 instead of every number less than 3. Some leave out fractions when reading {x | x < 3}.

How to Assess It

Give students x − 4 > 2. Ask them to solve it, graph the solution on a horizontal number line, and write the solution set in set notation.

Lesson moves

Ways to Teach It

  1. Tape a number line, mark 3 for x + 2 = 5, then use an open circle and shade left for x < 3.

  2. Post x < 4, {x | x < 4}, and its number line graph, then ask pairs what each representation shows.

  3. Give pairs shuffled cards for x > 2, x ≤ −1, their set notation, and graphs; have them match the sets.

  4. Post a ride sign reading 'Height at least 48 inches'; have students write h ≥ 48, graph it, and explain whether 48 inches qualifies.

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Printable FA.A.10 Worksheet

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