Grade 8 Multi-step Fraction Equations Worksheet
Solve multi-step equations involving fractions, applying properties of equality and combining like terms.
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Multi-step Fraction Equations
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Read each problem carefully and solve for the variable. Show all your work. Simplify your answers to the lowest terms.
1. Solve for x: (2/3)x + 1/2 = 5/6
2. Find the value of y: (3/4)y - 1/3 = 7/12
3. To solve the equation (1/5)z + 2/3 = 11/15, the first step is to .
4. After combining like terms in the equation (1/4)m - 1/8 = 3/8, the equation becomes .
5. Which operation would you perform first to solve (x/2) - (1/4) = (3/8)?
Multiply by 2
Add 1/4 to both sides
Subtract 3/8 from both sides
Divide by 1/4
6. The equation (1/3)x + 1 = (2/3)x - 2 can be solved by first subtracting (1/3)x from both sides.
True
False
7. A recipe calls for (3/4) cup of flour. If you only have a (1/8) cup measuring scoop, and you need to make 3 batches of the recipe, how many scoops of flour do you need in total?
Consider the representation of 1/4 below:
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