Multi-step Fraction Equations Worksheet

Solve multi-step equations involving fractions, combining like terms, and isolating variables.

Grade 9 Math AlgebraMulti-step Fraction Equations

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.B.7CCSS.MATH.CONTENT.HSA.REI.B.3

Topics

mathalgebrafractionsequationsgrade-9

7 sections · Free to use · Printable

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Multi-step Fraction Equations

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Solve each multi-step fraction equation. Show all your work clearly. Simplify your answers to their lowest terms.

1. Solve for x: (2/3)x + 1/2 = 5/6

2. Solve for x: 3/4 - (1/5)x = 1/2

3. Fill in the blanks to solve the equation: (1/4)y + 3/8 = 1/2

Multiply by the LCD: 8 * [(1/4)y + 3/8] = 8 * (1/2)

y + =

Subtract 3 from both sides: y =

Divide by 2: y =

4. Which of the following is the correct solution for x in the equation: (5/2)x - 1/3 = 7/6?

x = 1/2

x = 1

x = 2/3

x = 3/5

5. A recipe calls for 2/3 cup of flour. If you only have 1/4 of the recipe's ingredients, and you want to make 3 times the original amount of the recipe, how much flour will you need?

6. The equation (1/2)x + (1/3) = (5/6)x has a solution where x is a positive integer.

True

False