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Mathematics · Grade 8

Linear Equations and Reasoning

Learners solve linear equations with the variable on both sides, naming the property of equality behind every step. They distribute and combine like terms, clear fractions and decimals, and use the structure of an equation to decide whether it has exactly one solution, no solution or infinitely many solutions.

  • 4 lessons
  • About 90 minutes
  • Linear equations check: 10 questions
  • Ways to answer: choose an answer, type a fraction, match pairs, type a number, put in order and sort into groups
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What learners will discover

  • Solve linear equations with the variable on both sides, justifying each step with a property of equality and checking the solution.
  • Solve linear equations that need the distributive property and combining like terms.
  • Solve linear equations with fraction and decimal coefficients.
  • Decide whether a linear equation has one solution, no solution or infinitely many solutions by transforming it, and build examples of each kind.

Lessons

  1. Variables on both sides 9 steps5 practiceabout 24 min
  2. Distribute and combine like terms 8 steps5 practiceabout 22 min
  3. Fractions and decimals in equations 8 steps5 practiceabout 22 min
  4. One, none or infinitely many solutions 8 steps5 practiceabout 22 min
  5. Linear equations check 10 questions at the end

Keep exploring

Games to practice with

  • Number-Line HopHelp the frog hop to the right number — from counting to negative fractions.
  • Algebra BalanceKeep the scale level and the equation true, step by step.
  • Function FactoryFeed the machine, crack its rule and predict what comes out.

More 8th grade math

Guide for grown-ups