Restaurant Seating Arrangements and Equations

Mr. Boskin guides students through various math problems, including matching lines to statements, solving equations with different conditions, comparing earnings, handling fractions in equations, and solving a restaurant seating problem. The lesson emphasizes understanding and applying mathematical concepts to real-world scenarios.

What is the sum of the coordinates for points on line n?

• The sum is always -10.

• The sum is always 2.

• The sum is always 10.

• The sum is always 0.

Which point on the graph has coordinates where the y-coordinate is 10 less than the x-coordinate?

• Point D

• Point C

• Point B

• Point A

What should be added to 4x to make the equation 4x - 4 = 4x + ___ have no solutions?

• 0

• -4

• 4

• 7

How many hours do Priya and Mai need to work to earn the same amount?

• 2 and 6/7 hours

• 2 hours

• 3 hours

• 4 hours

What is the total amount Priya earns after working the calculated hours?

• $26

• $24

• $22

• $20

What is the equation representing the seating arrangement in the restaurant?

• 4x + 2y = 120

• 2x + 4y = 120

• x + y = 120

• 4x - 2y = 120

If the restaurant has 15 four-seat tables, how many two-seat tables are needed?

• 60

• 45

• 30

• 15

What does the slope of the line in the restaurant seating graph represent?

• For every extra four-seat table, there are two more two-seat tables.

• For every extra two-seat table, there are two fewer four-seat tables.

• For every extra four-seat table, there are two fewer two-seat tables.

• For every extra two-seat table, there are two more four-seat tables.

What is the maximum number of two-seat tables possible?

• 30

• 40

• 50

• 60

What is the maximum number of four-seat tables possible?

• 40

• 10

• 30

• 20