Solving for a Variable Worksheet

Grade 9 worksheet focused on solving linear equations and isolating variables.

Grade 9 Math AlgebraSolving for a Variable

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.B.3

Topics

AlgebraSolving EquationsVariablesGrade 9 Math

7 sections · Free to use · Printable

Solving for a Variable

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Read each question carefully and solve for the indicated variable. Show all your work.

1. Solve for x: 5x + 3 = 23

2. Solve for y: 7(y - 4) = 21

3. Solve for z: (z / 3) - 5 = 2

1. To isolate a variable, you must perform the operation to both sides of the equation.

2. In the equation 2x + 1 = 7, the first step to solve for x is to 1 from both sides.

3. The property states that a(b + c) = ab + ac.

1. If 3x - 8 = 10, what is the value of x?

2. Which operation would you perform first to solve 2(x + 5) = 16?

Add 5

Subtract 5

Divide by 2

Multiply by 2

1. To solve for a variable, you always perform operations in the order of PEMDAS.

True

False

2. The goal of solving for a variable is to get the variable by itself on one side of the equation.

True

False

1. The perimeter of a rectangle is 40 cm. If the length is 12 cm, what is the width? (Formula: P = 2l + 2w)

2. John bought 3 books and a $5 magazine. He spent a total of $26. How much did each book cost?