Unit 6 Post- Test

1.) The graph of a linear inequality is shown on the coordinate plane. Which inequality models this graph?

• y<1/2x-4
• y<-1/2x-4
• y>1/2x-4
• y>=1/2x-4

2.) The Medina family bought trees and bushes for their backyard staying within their $700 budget. If trees are priced at $49 and bushes at $19, which inequality describes this situation?

• 68(x+y)<=700
• 30(x+y)<=700
• 49x+19y<=700
• 49+x+19+y<=700

3.) Monika is in charge of ordering pens for an upcoming convention. Pens come in boxes of 6 and boxes of 8 and Monika needs at least 720 pens. Which inequality describes this situation?

• 6x+8y>=720
• 8x+6y>=720
• 6x+8y<=720
• 8x+6y<=720

4.) Which pair of values for x and y will not satisfy the following system?

• x=1, y=1
• x=3, y=4
• x=5, y=7
• x=6, y=6

5.) A system of linear inequalities is below. Which point is not a solution to this system?

• (-4,0)
• (0,-1)
• (-1,-6)
• (-3,-4)

6.) Tom wants to compare two different plans for gym membership. The first plan charges a sign-up fee of $25.00, then $5.00 for every visit. The second plan charges $100.00 per month with no sign-up fee. Tom creates a graph to find the solution to this pair of equations.

• If Tom plans to go to the gym less than 15 times during the month, he will pay less with the second plan.
• If Tom plans to go to the gym less than 15 times during the month, he will pay less with the first plan.
• If Tom plans to go to the gym more than 15 times during the month, he will pay more with the second plan.
• If Tom plans to go to the gym more than 15 times during the month, he will pay less with the first plan.

7.) Nathan has a savings account that he deposits $4.00 into each week. He has a checking account with an initial balance of $60.00 that he uses to make a regular $6.00 weekly payment. Nathan creates a graph of the balances for these two accounts as a function of time in weeks. From the graph, Nathan concludes that eventually he will have the same amount in both accounts. How many weeks will it be before this happens?

• The two accounts will have the same amount after 10 weeks.
• The two accounts will have the same amount after 7 weeks.
• The two accounts will have the same amount after 6 weeks.
• The two accounts will have the same amount after 1 week.

8.) Which pair of points is in the solution set for the system of linear inequalities below?

• (-2,1) and (0,3)
• (1,2) and (3,2)
• (-1,-1) and (2,-1)
• (0,0) and (-1,-5)

9.) Which of the following inequalities describes the shaded region in the graph below?

• y
  y>x-2
  y<-x-2
  y>-x-2

10.) Which of the following graphs represents the system of inequalities?

• 
• 
• 
• 

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