Grade 7 Multi-step Fraction Equations Worksheet
Practice solving multi-step equations involving fractions with this comprehensive worksheet for 7th graders.
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Multi-step Fraction Equations
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Date:
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Solve each equation for the variable. Show your work.
1. Solve for x: (1/2)x + 3 = 7
2. Solve for y: (2/3)y - 5 = 1
3. Solve for z: (3/4)z + (1/2) = 2
4. To isolate a variable in an equation with fractions, you can first the constant term from both sides.
5. When multiplying a fraction by a whole number, you multiply the whole number by the of the fraction.
6. Which operation would you perform first to solve the equation (1/4)a - 2 = 6?
Multiply by 4
Subtract 2
Add 2
Divide by 4
7. What is the value of 'b' in the equation (5/6)b + 1/3 = 1?
2/5
4/5
1
6/5
8. To solve 2x + (1/3) = 1, you should first multiply both sides by 3.
True
False
9. The reciprocal of 3/5 is 5/3.
True
False
10. Sarah spent (1/4) of her money on a book and $10 on a new pen. If she has $15 left, how much money did she start with?