Solving Linear Equations and Functions

This video tutorial covers solving linear equations by substituting values for x and y, matching graphs to real-world situations, verifying if points lie on a line, checking solutions, finding x-intercepts, and calculating coordinates based on line segments. The tutorial is designed for 8th-grade students and includes practical examples and step-by-step solutions to enhance understanding.

What is the first step in solving the equation y = 6x + 8 when x = -3?

• Substitute x with -3

• Divide both sides by 6

• Add 8 to both sides

• Multiply both sides by 6

What is the value of y when x = -3 in the equation y = 6x + 8?

• -10

• -18

• 10

• 18

How do you isolate x in the equation 2 = 6x + 8?

• Multiply both sides by 6

• Subtract 8 from both sides

• Add 8 to both sides

• Divide both sides by 6

What is the value of x when y = 2 in the equation y = 6x + 8?

• 2

• -2

• 1

• -1

What is the first step in solving the equation y = (2/3)x when x = -3?

• Divide by 2/3

• Add 3 to both sides

• Substitute x with -3

• Multiply by 3/2

What is the value of y when x = -3 in the equation y = (2/3)x?

• -2

• 2

• 3

• -3

How do you isolate x in the equation 2 = (2/3)x?

• Divide by 2/3

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply by 3/2

What is the value of x when y = 2 in the equation y = (2/3)x?

• 3

• 2

• -2

• -3

What is the first step in solving the equation y = -x + 5 when x = -3?

• Add 5 to both sides

• Divide by -1

• Substitute x with -3

• Multiply by -1

What is the value of y when x = -3 in the equation y = -x + 5?

• -5

• 5

• 8

• -8