Checking Solutions to Equations
A Grade 7 math worksheet focused on checking solutions to algebraic equations, including multiple choice, true/false, fill-in-the-blanks, and short answer problems.
Includes
Standards
Topics
Checking Solutions to Equations
Name:
Date:
Score:
Read each question carefully and follow the instructions. Show your work where necessary.
1. Which value of x makes the equation 3x + 5 = 17 true?
x = 3
x = 4
x = 5
x = 6
2. Is y = 7 a solution to the equation 2y - 3 = 11?
Yes
No
State whether each statement is True or False.
1. If k = 10, then 4k + 2 = 42.
True
False
2. For the equation 15 - m = 8, the solution is m = 6.
True
False
Complete the following sentences.
1. To check if a value is a solution to an equation, you should the value into the equation.
2. If both sides of the equation are after substituting the value, then it is a solution.
1. Explain how to check if x = 9 is a solution to the equation x + 12 = 20. Is it a solution?
2. Consider the equation 5n - 1 = 24. Show your work to determine if n = 5 is a solution.
Match each equation with its correct solution.
1. 2x = 18
a. x = 7
2. x + 5 = 12
b. x = 9
3. 20 - x = 11
c. x = 8
An equation can be thought of as a balanced scale. If you substitute a value for the variable, both sides should remain balanced.
If the scale is balanced, the solution is correct. If it's unbalanced, the value is not a solution.