Multi-step Fraction Equations Worksheet
Solve multi-step equations involving fractions, including those with variables on both sides and distributive property.
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Multi-step Fraction Equations
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Solve each multi-step fraction equation. Show all your work. Simplify your answers completely.
1. Solve for x: (2/3)x + 1/2 = 5/6
2. Solve for y: (3/4)y - 1/8 = (1/2)y + 3/4
3. To eliminate fractions in an equation, you should multiply every term by the of all the denominators.
4. After multiplying by the least common multiple, the equation will no longer contain .
5. Solve for z: (1/5)(z + 10) = 2/3
6. Solve for a: 3/4(2a - 4) = 1/2(a + 6)
7. Which of the following is the first correct step to solve the equation: (x/3) + (x/4) = 7?
Add x/3 and x/4 directly
Multiply both sides by 12
Subtract 7 from both sides
Divide both sides by x
8. When solving (x/2) + 3 = (x/4) - 1, the least common multiple of the denominators is 8.
True
False
9. Solve for x: (x + 1)/2 + (x - 2)/3 = (x + 3)/4