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.

Grade 12 Math AlgebraChecking Solutions to Equations

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Includes

4 Short Answer

Standards

CCSS.MATH.CONTENT.HSA.REI.B.3CCSS.MATH.CONTENT.HSA.REI.B.4CCSS.MATH.CONTENT.HSA.REI.A.2

Topics

AlgebraEquationsSolutionsGrade 12High School Math

6 sections · Free to use · Printable

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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.