Linear Equations and Functions

In this video, Mr. Boskin guides students through various math problems, focusing on linear equations and graph interpretation. The lesson begins with solving linear equations by checking ordered pairs, followed by interpreting graph intercepts and slopes. Students then match equations with their solutions and analyze a fuel dispensing problem to understand negative slopes. The session concludes with a real-world problem involving calculating sandwich costs and delivery fees, reinforcing the application of linear equations in everyday scenarios.

Which ordered pair is a solution to the equation 2x + 3y = 6?

• (3, -2)

• (0, 2)

• (0, 6)

• (2, 3)

What does the y-intercept represent in the context of Priya buying comic books?

• The amount of money Priya has before buying any comics

• The number of comics Priya can buy with $20

• The price of one comic book

• The total cost of all comics

If the equation of a line is y = 4x + 20, what is the y-intercept?

• 20

• 0

• 4

• 24

What is the correct slope of the line if the line is going down?

• Negative 4

• Positive 4

• Zero

• Undefined

What is the equation of the line if the slope is -4 and the y-intercept is 20?

• y = 4x - 20

• y = -4x - 20

• y = -4x + 20

• y = 4x + 20

Which equation matches the set of points (14, 21), (2, 3), and (8, 12)?

• y = 1.5x

• 2x + y = 7

• 3x = y/2

• x - y = 4

Which point does not satisfy the equation 2x + y = 7?

• (2, 3)

• (-3, 13)

• (1, 5)

• (0, 7)

What is the slope of the line representing the fuel dispensing rate?

• Undefined because the rate is not linear

• Zero because fuel remains constant

• Negative because fuel is dispensed

• Positive because fuel is added

How much does each turkey sandwich add to the cost of delivery?

• $10

• $12

• $7

• $5

What is the delivery fee if four sandwiches cost $33 and each sandwich is $7?

• $5

• $7

• $9

• $11