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Equations with fractions and decimals worksheets Grades 7–8

Clear the fractions or work with the decimals, then solve.

The front of the free equations with fractions and decimals worksheet
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Free · Worked example · 22 problems · Answer key · US Letter

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How to do it

Multiply both sides to clear the fraction, or work with the decimals directly.

x3+3=4\dfrac{x}{3} + 3 = 4
x3=1\dfrac{x}{3} = 1subtract 3 from both sides
x=3x = 3multiply both sides by 3

Example problems

  1. 0.2x−5=−40.2x - 5 = -4
  2. x4−3=−6\dfrac{x}{4} - 3 = -6
  3. x3−8=−3\dfrac{x}{3} - 8 = -3
  4. 0.5x+0=−2.50.5x + 0 = -2.5

Expressions and equations

  1. Evaluating expressions
  2. Combining like terms
  3. The distributive property
  4. One-step equations
  5. Two-step equations
  6. Equations with variables on both sides
  7. Equations with parentheses
  8. Equations with fractions and decimals
  9. Solving inequalities