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PlayOwl

Mathematics · Grade 7

Equations and Inequalities

Learners solve two-step equations of the forms px + q = r and p(x + q) = r with positive and negative rational numbers, compare arithmetic and algebraic solutions, and write equations for word problems, using estimation to check that answers are reasonable. They then solve inequalities such as −2x + 7 ≥ 15, reversing the inequality when multiplying or dividing by a negative number, and interpret the solution set in context.

  • 4 lessons
  • About 95 minutes
  • Equations and inequalities check: 10 questions
  • Ways to answer: choose an answer, type a fraction, match pairs, type a number, place on a number line and put in order
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What learners will discover

  • Solve equations of the form px + q = r with rational numbers, and compare an arithmetic solution with an algebraic one.
  • Solve equations of the form p(x + q) = r, either by dividing first or by distributing first.
  • Write and solve equations for word problems and check that the solution is reasonable using estimation.
  • Solve inequalities of the form px + q > r or px + q < r (and with ≥ or ≤), reversing the inequality when multiplying or dividing by a negative number, and describe and interpret the solution set.

Lessons

  1. Solving px + q = r 9 steps5 practiceabout 24 min
  2. Solving p(x + q) = r 9 steps5 practiceabout 22 min
  3. Writing equations and checking reasonableness 8 steps5 practiceabout 24 min
  4. Inequalities: solve, describe and interpret 10 steps6 practiceabout 25 min
  5. Equations and inequalities 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.
  • Ratio KitchenScale recipes, fill ratio tables and find the better buy.
  • Coordinate CourierDrive the parcel van to the right address on the coordinate grid.

More 7th grade math

Guide for grown-ups