Checking Solutions to Equations - Grade 9 Math
This worksheet helps Grade 9 students practice checking solutions to various types of algebraic equations, including linear, quadratic, and systems of equations.
Includes
Standards
Topics
Checking Solutions to Equations
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Date:
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Read each question carefully and follow the instructions. Show all your work when checking solutions.
1. Is x = 5 a solution to the equation 3x - 7 = 8?
2. Check if y = -2 satisfies the equation 4(y + 3) = 2y + 8.
Determine if the given value is a solution to the equation. Mark 'T' for True or 'F' for False.
1. For the equation 2m + 5 = 11, m = 3 is a solution.
True
False
2. The equation 6 - 2p = 10 has p = -2 as a solution.
True
False
Complete the statements below by determining if the given value is a solution.
1. If x = 4, then the equation 5x - 12 = 8 is (True/False).
2. The value y = 1/2 (is/is not) a solution to 2(y + 1) = 3.
1. Which of the following values is a solution to the equation x² + 2x = 8?
x = 1
x = 2
x = 3
x = 4
1. Is (x, y) = (2, 1) a solution to the system of equations?
Equation 1: x + y = 3
Equation 2: 2x - y = 3
An equation can be thought of as a balance. If both sides are equal, the balance is level. When checking a solution, you are seeing if the value keeps the balance level.
Consider the equation 2x + 1 = 7.
If x = 3, show how both sides of the equation balance.
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