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Two-Step Equations: Quiz-Quiz-Trade Cards

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Grade 7 Math · Solving Equations

Two-Step Equations: Quiz-Quiz-Trade Cards

Quiz-Quiz-Trade cards for solving two-step equations, some with negative numbers, Grade 7: 32 cards to cut out and fold, a question on the front and its answer on the back, such as 3x + 5 = 20. Pair up, quiz, trade cards, find a new partner.

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Two-Step EquationsA teaching handout to hand out before this sheet: the rule, worked examples and common mistakes.
Pages
4
Last updated
Time
About 15 minutes
Printing
Black and white
Related curriculum

Solve two-step equations such as 3x + 4 = 19, then equations such as 3(x − 2) = 2x + 5 by multiplying out the parentheses, collecting like terms and doing the same thing to both sides, and tell when an equation has one solution, none or infinitely many.

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How to use this sheet

  • Have the child simplify each side first: distribute and combine like terms.
  • Get the variable on one side, then the numbers on the other, one step per line.
  • Check every answer by putting it into the original equation, both sides.

Common mistakes

  • Moving a term to the other side without changing its sign. Do the same operation to both sides instead of "moving".
  • Distributing a negative to the first term only, so −2(x − 3) becomes −2x − 3.
  • Saying "no solution" when the variables cancel and a true statement is left, such as 4 = 4. That means infinitely many solutions.

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