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Re-Take_1.2 System of Inequalities CFA

Last updated over 3 years ago

9 questions

2

A.REI.12

4

3

5

A.REI.12

5

A.REI.12

3

5

3

1

Question 1

1.

Reasoning: Suppose you are graphing a system of two linear inequalities, and the boundary lines for the inequalities are parallel. Does that mean that the system has no solution? Explain.

Not necessarily; Even though the boundary lines are parallel, the inequalities may result in overlapping shaded regions.

Yes; The parallel boundary lines indicate that the graphs will have no points in common.

Question 2

2.

Question 3

3.

Question 4

4.

Cherries cost $4/lb. Grapes cost $2.50/lb. You can spend no more than $15 on fruit, and you need at least 4 lb in all. What is a graph showing the amount of each fruit you can buy?

Graph precisely and include important graph detail: label axes and indicate their scale, include arrows at the ends of solid or dashed boundary lines, shade one side or the other of each boundary line in the system. Use a shading technique that makes it easy to determine which regions are shaded once, twice, and not at all. If you need assistance, please ask.

Question 5

5.

Graph the system on the canvas below by hand, without the aid of a graphing utility.
After that, graph the system on the embedded Desmos graphing calculator above and edit your graph, as necessary.
Graph precisely and include important graph detail: label axes and indicate their scale, include arrows at the ends of solid or dashed boundary lines, shade one side or the other of each boundary line in the system. Use a shading technique that makes it easy to determine which regions are shaded once, twice, and not at all. If you need assistance, please ask.

Question 6

6.

Match the systems of inequalities with its graph.

Draggable item		Corresponding Item
C

B

Question 7

7.

Graph the systems of inequalities.

Question 8

8.

You are fishing for surfperch and rockfish, which are species of bottom fish. Gaming laws allow you to catch no more than 15 surfperch per day, no more than 10 rockfish per day, and no more than 20 total bottom fish per day.
a. Write and graph a system of linear inequalities that represents the situation.

Question 9

9.

You are fishing for surfperch and rockfish, which are species of bottom fish. Gaming laws allow you to catch no more than 15 surfperch per day, no more than 10 rockfish per day, and no more than 20 total bottom fish per day.

b. Use the graph to determine whether you can catch 11 surfperch and 9 rockfish in 1 day.

The souvenir shop at the ballpark sells signed baseballs for $2 each, and signed miniature bats for $6 each. Jay can spend at most $12 to buy no more than 4 items.  Choose the inequalities that would be in the system to represent the situation.  Select all that apply.

x + y ≤ 4

2x + 6y  ≤ 4 

x + y > 12

2x + 6y ≤ 12

x ≥ 0

y ≥ 0

Jay's situation is graphed below.  Which coordinate pairs represent true solutions to the system of inequalities? Select all that apply.

(2,1)

(1,3)

(3,1) 

(1,1)

(2,2)

(4,3)