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Mathematics · Grade 9

Linear Equations and Inequalities

Learners solve multi-step linear equations as chains of justified moves, recognize equations with no solution or infinitely many, rearrange formulas, and solve linear and compound inequalities, including a clear explanation of why multiplying by a negative reverses the inequality. The course ends by modeling budgets, capacities and schedules with equations and inequalities and interpreting the answers in context.

  • 4 lessons
  • About 120 minutes
  • Equations and inequalities check: 11 questions
  • Ways to answer: fill in the blanks, choose an answer, type a number, place on a number line, put in order and sort into groups
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What learners will discover

  • Solve multi-step linear equations, including variables on both sides and fractions or decimals, justifying each step with a property of equality.
  • Identify and explain equations with no solution or infinitely many solutions, and rearrange formulas to solve for a chosen variable.
  • Solve linear and compound inequalities, explain why multiplying or dividing by a negative reverses the inequality, and represent solution sets on a number line.
  • Model situations with linear equations and inequalities and interpret the solutions in context, including whole-number constraints.

Lessons

  1. Equations as balanced statements 8 steps5 practiceabout 30 min
  2. Special cases and literal equations 7 steps5 practiceabout 28 min
  3. Inequalities and their solution sets 8 steps4 practiceabout 30 min
  4. Modeling with equations and inequalities 7 steps5 practiceabout 28 min
  5. Equations and inequalities check 11 questions at the end

Keep exploring

More 9th grade math

Guide for grown-ups