Determining Solutions to Equations

This video tutorial explains how to determine if a given value is a solution to a linear equation. It provides four examples, demonstrating the substitution method to verify solutions. The tutorial covers equations like x + 5 = 9, x + 7 = 10, 6 - x = 1, and 1 - x = -3, showing step-by-step how to check if specific values satisfy these equations.

What is the main goal of this lesson?

• To learn how to solve quadratic equations

• To explore the concept of functions

• To determine if a value is a solution to a linear equation

• To understand the properties of inequalities

Tags

CCSS.6.EE.B.5

In Example 1, what is the result of substituting x = 4 into the equation x + 5 = 9?

• 4 + 5 = 7

• 4 + 5 = 8

• 4 + 5 = 10

• 4 + 5 = 9

Tags

CCSS.6.EE.B.5

Why is x = 4 a solution to the equation x + 5 = 9?

• Because 4 + 5 equals 8

• Because 4 + 5 equals 7

• Because 4 + 5 equals 10

• Because 4 + 5 equals 9

Tags

CCSS.6.EE.B.5

In Example 2, what is the result of substituting x = -3 into the equation x + 7 = 10?

• -3 + 7 = 7

• -3 + 7 = 4

• -3 + 7 = 10

• -3 + 7 = 0

Tags

CCSS.6.EE.B.5

Why is x = -3 not a solution to the equation x + 7 = 10?

• Because -3 + 7 equals 10

• Because -3 + 7 equals 7

• Because -3 + 7 equals 0

• Because -3 + 7 equals 4

Tags

CCSS.7.NS.A.1C

In Example 3, what operation is equivalent to subtracting a negative number?

• Subtracting a positive

• Dividing by a positive

• Multiplying by a negative

• Adding a positive

What is the result of substituting x = -5 into the equation 6 - x = 1?

• 6 - (-5) = 1

• 6 - (-5) = 6

• 6 - (-5) = 11

• 6 - (-5) = 0

In Example 4, what is the result of substituting x = 4 into the equation 1 - x = -3?

• 1 - 4 = 0

• 1 - 4 = 3

• 1 - 4 = 1

• 1 - 4 = -3

Tags

CCSS.6.EE.B.5

Why is x = 4 a solution to the equation 1 - x = -3?

• Because 1 - 4 equals 3

• Because 1 - 4 equals 1

• Because 1 - 4 equals -3

• Because 1 - 4 equals 0

What is the final conclusion of the lesson?

• x = -5 is a solution to all equations

• x = 4 is a solution to some equations

• x = -3 is a solution to all equations

• x = 4 is not a solution to any equation