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.
Related Worksheets
Infinitely Many Solutions
Explore systems of linear equations with infinitely many solutions in this Grade 8 math worksheet.
Proportional Equations Worksheet
This worksheet focuses on understanding and solving proportional equations, including identifying proportionality, calculating constants of proportionality, and solving real-world problems.
Rearranging Equations Worksheet
A Grade 8 math worksheet focused on rearranging algebraic equations to solve for different variables, including practice with various equation types.
Graphs of Polynomials Worksheet
Explore the graphs of various polynomial functions, identifying key features like roots, turning points, and end behavior for Grade 8 math students.
Pearson Square Practice
A worksheet to practice the Pearson Square method for calculating feed mixes and concentrations.
Matching Equations and Graphs
Practice matching linear equations to their corresponding graphs, focusing on slope-intercept form and visual recognition of lines.
Inductive Reasoning Practice
This worksheet helps 8th-grade students practice inductive reasoning by identifying patterns and making conjectures.
Naming Polynomials Worksheet
This worksheet helps grade 8 students practice naming polynomials based on their degree and number of terms.