Solving Equations and Transformations

This video tutorial covers Math 8 Unit 4 Lesson 8, focusing on solving equations with different numbers of solutions. The lesson begins with an introduction to the topic, followed by an analysis of how to match expressions with the number of solutions they produce. A class activity involves sorting equations into categories based on their solutions. The video provides examples of solving equations with one, no, or infinite solutions. The lesson concludes with a summary and a discussion of homework problems.

What is the main focus of Math 8 Unit 4 Lesson 8?

• Understanding geometric transformations

• Learning about probability

• Solving equations with different numbers of solutions

• Graphing linear equations

When factoring the expression 12x - 18, what is the common factor?

• 3

• 6

• 18

• 12

In the classroom activity, how many equations were found to have one solution?

• Two

• Five

• Seven

• Three

What is the result when solving the equation 6x + 8 = 7x + 13?

• x = 3

• x = -5

• x = 5

• x = -3

Which of the following equations has infinite solutions?

• 6x + 8 = 7x + 8

• 6x + 8 = 6x + 13

• 6x + 8 = 7x + 13

• 6x + 8 = 6x + 8

If an equation is balanced on both sides, what type of solution does it have?

• No solution

• One solution

• Two solutions

• Infinite solutions

What is the slope of the line passing through the points (-2, 0) and (0, 6)?

• 2

• -2

• 3

• -3

What happens to the side lengths and angles of a shape after a rotation?

• They remain the same

• Only side lengths change

• Only angles change

• They change

What is the result of solving the equation 3(x - 5) = 6?

• x = 3

• x = 7

• x = 5

• x = 9

What is the correct interpretation of the equation 16x = 16x?

• No solution

• One solution

• Infinite solutions

• Two solutions