Systems of Linear Inequalities Review

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before homecoming.

• x + y ≥ 25

  x + y ≤ 9

• 100x + 25 y ≤ 200

  2x + 9y ≤ 16

• x + y ≥ 200

  9x + 25y ≤ 16

• 9x + 25y ≥ 200

  x + y ≤ 16

Which of the following points is a solution to the system of equations below? x + 2y ≥ 4 3x − 2y < 4

• (0, 0)

• (2, 1)

• (2, 2)

• (-1, 1)

Which system of inequalities represents the graph shown above?

• x+y<-2

  5x+y>2

• x+y>-2

  5x+y<2

• x+y≤-2

  5x+y≥2

• x+y≥-2

  5x+y≤2

Tags

CCSS.HSA.REI.D.12

Which of the following equations match the given graph?

• y ≥ 2/5x + 1

• y ≥ -2/5x + 1

• y≤  2/5x + 1

• y ≥ -2/5x - 1

Tags

CCSS.HSA.REI.D.12

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Are the points on the line part of the solution set or not?

• Yes, they are part of the solution set

• No, they are NOT part of the solution set

Tags

CCSS.HSA.REI.D.12

Is (0,0) a solution to the system?

• Solution

• Not a solution

Tags

CCSS.HSA.REI.D.12

Sophie is preparing a fruit salad with apples and bananas. She uses apples, which cost $0.50 per apple, and bananas, which cost $0.30 per banana. Sophie wants to buy enough apples and bananas for the salad, but the number of apples, a, must always be less than twice the number of bananas, b. Sophie also wants to spend less than $10 on the fruits. Which of the following systems of inequalities represents all possible combinations of apples and bananas Sophie could have used for the fruit salad?

• 0.50a + 0.30b < 10

  a < 2b

• 0.50a + 0.30b > 10

  a > 2b

• 0.50a + 0.30b < 5

  a < b

• 0.50a + 0.30b = 10

  a = 2b

Which points are solutions to the system of inequalities? Select all that apply.

• (4, 2)

• (0, 0)

• (6, 1)

• (5, 5)

• 2x + y < 8

• x - 2y > 5

• x + y > 2