Solving for a Variable Worksheet
Grade 9 worksheet focused on solving linear equations and isolating variables.
Includes
Standards
Topics
Solving for a Variable
Name:
Date:
Score:
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?
4
6
8
18
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?
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