Analyzing Linear Relationships and Equations

In this video, Mr. Boskin guides students through solving various math problems using systems of equations. The video begins with an introduction and setup of a problem involving Kieran and his cousin's pay. Mr. Boskin then demonstrates how to solve the system of equations to find Kieran's hourly pay. The video continues with a discussion on representing stories with equations, focusing on scenarios involving Diego, Lynn, and their cousins. Next, the video covers a game played by Claire and Noah, where equations are written and solved to determine points. Finally, Mr. Boskin solves another system of equations and estimates coordinates, concluding with closing remarks.

What is the relationship between Kieran's pay and his cousin's pay?

• Kieran's pay is 30% more than his cousin's.

• Kieran's cousin's pay is 50% more than Kieran's.

• Kieran's cousin's pay is 30% more than Kieran's.

• Kieran's pay is equal to his cousin's.

If Lynn is 6 inches taller than her cousin and their combined height is 100 inches, what equation represents this situation?

• x + y = 106 and y = x - 6

• x - y = 100 and y = x + 6

• x + y = 100 and x = y + 6

• x + y = 100 and y = x + 6

In the game Claire and Noah play, what is the point value for a goal?

• 8 points

• 4 points

• 2 points

• 6 points

What is the point value for a penalty in Claire and Noah's game?

• -2 points

• -8 points

• -4 points

• -6 points

What is the solution to the system of equations y = 6x - 8 and y = -3x + 10?

• (3, 5)

• (2, 4)

• (4, 2)

• (5, 3)

When estimating the intersection of two lines, what is the approximate x-coordinate?

• 1.8

• 1.5

• 1.7

• 1.6

Which of the following is a correct equation for a line with a y-intercept of 0?

• y = 3/2x

• y = 4/5x

• y = 5/4x

• y = 2/3x

What is the y-intercept of the second line in the graph?

• 4

• 5

• 7

• 6

If the slope of a line is 4/5, what is the rise over run?

• 5 over 4

• 4 over 5

• 2 over 3

• 3 over 2

What is the estimated y-coordinate of the intersection point of the two lines?

• 1.5

• 1.3

• 1.2

• 1.4