Algebra 1 · Chapter 2 · Lesson 2.1 · Printable PDF

Multi-step Equations Worksheet with Answer Key

6 problems on multi-step equations: combining like terms, clearing fractions and decimals, checking answers, a triangle perimeter, a mistake in checking, a missing constant, and a field trip cost. 1 page, with a worked answer key.

6 problems1 pagesanswer key
Printable Multi-step equations worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Solve each equation, combining like terms first, and check in the original.
    3n - 8 + 5n + 2 = 50-14 = 2b + 6 - 6b - 46(c - 3) + 4c = 4220 - 4(d + 2) = -8-2(f - 4) - 3(f + 1) = 25
  2. Clear the fractions or decimals, then solve and check.
    \dfrac{2}{5}x - 3 + \dfrac{1}{2}x = 159 = \dfrac{3h - 1}{4} - \dfrac{h - 3}{6}1.5 - 0.2(m + 3) + 0.05m = 0.3
  3. Use the triangle's perimeter to find x and the length of each side.
  4. Find the flaw in how Hiro checked his answer.
  5. Find the number k that makes x equal to 5 a solution.
  6. Field trip word problem: find the number of students from the bus cost and ticket prices.

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Multi-step equations: the lesson ›