Isolating Variables Worksheet
This worksheet helps grade 8 students practice isolating variables in algebraic equations through various question types.
Includes
Standards
Topics
Isolating Variables
Name:
Date:
Score:
Read each question carefully and follow the instructions to isolate the variable. Show all your work for full credit.
1. To isolate a variable, you must perform the operation to both sides of the equation.
2. When solving for 'x' in the equation 3x + 5 = 11, the first step is to 5 from both sides.
3. The goal of isolating a variable is to get the variable by itself on one of the equation.
4. Solve for x: 5x - 7 = 18
5. Solve for y: (y/3) + 4 = 9
6. Which operation would you perform first to solve for 'z' in the equation 4z + 10 = 26?
Add 10 to both sides
Subtract 10 from both sides
Multiply both sides by 4
Divide both sides by 4
7. What is the value of 'a' in the equation 2(a - 3) = 14?
7
10
13
5
8. To isolate 'x' in x/5 = 10, you should multiply both sides by 5.
True
False
9. In the equation 2x + 3 = 2x + 5, 'x' can be isolated to find a unique solution.
True
False
10. Sarah bought 3 notebooks and a pen. The pen cost $2. If she spent a total of $17, write an equation and solve it to find the cost of one notebook.
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