Exploring 8th Grade Math: Unit 3 Review Part B

This video is a review of Unit 3, Part B, focusing on solving systems of equations. It covers three methods: graphing, substitution, and elimination. The video provides step-by-step instructions for each method, including examples and common mistakes. It also includes a real-life application problem involving a carpenter and a blacksmith. The video concludes with a discussion on special systems, such as those with no solutions or infinite solutions.

What is the primary focus of Chapter 8 in the math curriculum?

• Systems of equations

• Trigonometric identities

• Polynomial functions

• Quadratic equations

Which form must equations be in to use the graphing method effectively?

• Slope-intercept form

• Standard form

• Point-slope form

• Quadratic form

What is the solution to the system of equations solved using the graphing method in the video?

• (1, 3)

• (-1, -2)

• (2, -3)

• (4, 3)

In the substitution method, what is the first step in solving the systems of equations?

• Isolate one variable

• Graph both equations

• Eliminate one variable

• Multiply both equations

When using substitution, what is the result for 'y' in the example provided?

• y = -3

• y = 2

• y = 3

• y = -7

What does the elimination method primarily involve?

• Adding or subtracting equations

• Graphing intersections

• Using matrices

• Isolating variables

What is the result of the elimination method example discussed?

• (4, 3)

• (-1, 2)

• (2, -3)

• (1, 3)

How many hours did Gisele work as a carpenter last week?

• 25 hours

• 30 hours

• 18 hours

• 12 hours

In the context of real-life application, what does the ordered pair (12, 18) represent for Gisele's work?

• 18 hours total work, 12 dollars earned

• 18 hours as a blacksmith, 12 hours as a carpenter

• 12 hours as a blacksmith, 18 hours as a carpenter

• 12 hours total work, 18 dollars earned

What type of solutions does a system have if the equations are parallel?

• Dependent solutions

• No solutions

• Infinite solutions

• One solution