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.

Grade 9 Math AlgebraChecking Solutions to Equations

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Includes

2 Short AnswerTrue / FalseFill in the BlanksMultiple ChoiceCustom

Standards

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

Topics

AlgebraEquationsSolutionsVerificationGrade 9 Math

8 sections · Free to use · Printable

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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 = 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.

Scales of Justice representing a balanced equation

Consider the equation 2x + 1 = 7.

If x = 3, show how both sides of the equation balance.