Checking Solutions to Equations - Grade 10 Algebra
This worksheet helps Grade 10 students practice checking solutions to linear, quadratic, and systems of equations.
Includes
Standards
Topics
Checking Solutions to Equations
Name:
Date:
Score:
Read each question carefully and follow the instructions. Show all your work when checking solutions.
1. Is x = 3 a solution to the equation 4x - 7 = 5?
Yes
No
Cannot be determined
Only if x = 2
2. Which of the following ordered pairs is a solution to the system of equations: y = 2x + 1 y = -x + 4
(1, 3)
(2, 5)
(0, 1)
(3, 1)
3. To check if a value is a solution to an equation, you should the value into the equation and verify that both sides are .
4. If x = -2 is a solution to 3x + 5 = -1, then substituting -2 for x results in 3(-2) + 5 = -6 + 5 = .
5. Check if x = 5 is a solution to the equation 2(x + 3) = 16.
6. Check if y = -4 is a solution to the equation y² + 3y = 4.
7. The point (1, -1) is a solution to the equation 3x + 2y = 1.
True
False
8. If x = 0, then 5x - 8 = 8.
True
False
9. Plot the solution to the equation x - 2 = 1 on the number line below.
10. Is the point (2, -3) a solution to the equation y = -2x + 1? Explain your answer by showing your work on the coordinate plane.
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