Checking Solutions to Equations - Grade 12 Algebra
This worksheet provides exercises for Grade 12 students to practice checking solutions to various types of algebraic equations, including linear, quadratic, and rational equations.
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Checking Solutions to Equations
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For each problem, substitute the given value(s) into the equation and determine if it is a solution. Show all your work.
1. Is x = 5 a solution to the equation 3x - 7 = 8?
2. Check if y = -2 satisfies the equation 5(y + 3) = y - 1.
3. Determine if x = -3 is a solution to the equation x² + 2x - 3 = 0.
4. Verify if x = 4 is a solution to the equation 2x² - 5x - 12 = 0.
5. Is x = 1 a solution to the equation (x + 2) / (x - 1) = 3?
6. Check if x = -4 is a solution to the equation 2 / (x + 3) = (x - 1) / (x + 5).
7. Determine if x = 7 is a solution to the equation √(x + 2) = x - 4.
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