Unit 2 Review: Graphing Linear Inequalities

Graph the solution set for the system of inequalities. y > 3x - 7 y ≤ -0.5x

• A graph with the shaded region above the line y = 3x - 7 and below the line y = -0.5x

• A graph with the shaded region below the line y = 3x - 7 and above the line y = -0.5x

• A graph with the shaded region above both lines y = 3x - 7 and y = -0.5x

• A graph with the shaded region below both lines y = 3x - 7 and y = -0.5x

Graph the system of inequalities y > 3x-7 & y <-0.5x.

Select the ordered pairs that are included in the solution set

• a. (1, -4)

• b. (-4, -3)

• c. (0, 6)

Write the system of inequalities represented on the graph.

• y > 2x + 6 and

  y < 2x -4

• y> 3x/2 +6 and

  y < 3x/2 -4

• y> -3x/2 +6 and

  y < -3x/2 -4

• y> 2x/3 +6 and

  y < 2x/3-4

The solution set to which system of inequalities is represented on the graph?

• y > -2x - 2 y ≥ 1

• y < -2x -2 y ≥ 1

• y > 2x - 2 y ≤ 1

• y > 0.5x - 2 y > 1

A drama club is selling tickets to a play. The auditorium holds 150 people. Tickets cost $10 at the door and $6 if purchased in advance. The drama club has a goal of selling at least $1,200 worth of tickets. Write a system of inequalities that can be used to model this situation. If 60 tickets are sold in advance, what is the minimum number of tickets that must be sold at the door so that the drama club meets its goal?

• x>50

• x>84

• x<54

• x>80

A drama club is selling tickets to a play. The auditorium holds 150 people. Tickets cost $10 at the door and $6 if purchased in advance. The drama club has a goal of selling at least $1,200 worth of tickets. Write a system of inequalities that can be used to model this situation. If 60 tickets are sold in advance, what is the minimum number of tickets that must be sold at the door so that the drama club meets its goal?

• x +y <150

  10x + 6y >1200

• x +y >150

  10x + 6y >1200

• x +y <1200

  10x + 6y >150

• x +y <150

  6x + 10y >1200

Lynsay plans to earn at least $300 babysitting and mowing lawns this summer. She will charge $12 per hour for babysitting, and $15 per hour for mowing lawns. She would like to work a maximum of 50 hours this summer. She wrote the following system of inequalities to determine combinations of jobs she can do. Let x = number of hours spent babysitting, and y = number of hours spent mowing lawns. 12x + 15y ≥ 300 x + y ≤ 50 What is the smallest number of total hours she can work in order to earn at least $300 without working more than 50 hours?

• 50 hours

• 60 hours

• 100 hours

• 90 hours

• (6,4)

• (1,3)

• (0,1)

• (2,1)

• (4,3)

What is the number of toy cars the company can produce if no toy trucks are produced?

• A. 50

• B. 60

• C. 100

• D. 90

Anna has $45 to spend on felt to make banners for an upcoming game. Gold felt costs $5 per yard and blue felt costs $4 per yard. Anna needs at least 7 yards of felt to make the banners. Select the solution to this situation.

• 4 yards of gold felt and 3 yards of blue felt

• 5 yards of gold felt and 6 yards of blue felt

• 3 yards of gold felt and 3 yards of blue felt

• 6 yards of gold felt and 5 yards of blue felt