Checking Solutions to Equations - Grade 10 Algebra

This worksheet helps Grade 10 students practice checking solutions to linear, quadratic, and systems of equations.

Grade 10 Math AlgebraChecking Solutions to Equations

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.REI.B.3CCSS.MATH.CONTENT.HSA.REI.D.10

Topics

algebraequationssolutionsgrade 10math

7 sections · Free to use · Printable

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

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.