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Algebra 1 · Chapter 2 · Lesson 2.2 · Printable PDF

Equations with Variables on Both Sides Worksheet with Answer Key

8 problems on equations with variables on both sides: collecting terms, clearing parentheses first, finding a student's mistake, and word problems on numbers, shapes and burning candles. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Equations with variables on both sides worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Solve each equation by moving the smaller variable term first.
    6x + 5 = 2x + 293k - 7 = 8k + 1815 - 2n = 4n - 99p = 4p - 30-5w + 2 = -8w - 13
  2. Solve each equation, tidying each side before collecting terms.
    3(x - 4) = 5x + 62(a + 7) = 6(a - 3)4 - (b + 6) = 2(b - 7)6(c - 1) - 2c = 3(c + 2)\dfrac{5}{6}x - 3 = \dfrac{1}{3}x + 2
  3. Find the mistake in Kofi's solution of an equation with variables on both sides.
  4. Hannah's number puzzle: write and solve an equation.
  5. A rectangle has side lengths in x: find when it is a square and its area.
  6. Examine Sofia's rule for which term to move and decide if it works.
  7. Two candles burn at different rates: find when they are the same height.
  8. A triangle and a square have the same perimeter: find x.

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Equations with variables on both sides: the lesson ›

More Chapter 2 worksheets: Linear equations, inequalities and systems