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Linear Inequalities Solution Set

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Check ALL that are a solution to
y>xy>x

a)

(5,5)

b)

(9,12)

c)

(3,4)

d)

(-12,0)

e)

(5,-18)

2.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

3.

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

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

4.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

5.

Select the graph for 5x+ y ≤  -1 .

a)

A

b)

B

c)

C

d)

D

6.

Select the correct graph for each inequality. y≤ -¾x -1

a)

A

b)

B

c)

C

d)

D

7.

Match, the solutions is the purple area

a)

y > -4/5x - 1 and y ≤ 2/3x + 3

b)

y ≥ -4/5x - 1 and y ≤ 2/3x + 3

c)

y < -4/5x - 1 and y < 2/3x + 3

d)

y < -4/5x - 1 and y ≥ 2/3x + 3

8.

Match

a)

y ≥ -x - 1 and y < x + 4

b)

y < -x - 1 and y > x + 4

c)

y > -x - 1 and y ≥ x + 4

d)

y < -x - 1 and y ≥ x + 4

9.

The members of a new band want to spend no more than $75 for at least 60 fliers to advertise their upcoming concert.  The cost color fliers is $1.50 each, the cost of black and white fliers is $0.75 each. Which of the following combinations is a reasonable solution?

a)

26 color, 30 black and white

b)

30 color, 35 black and white

c)

60 color

d)

30 color, 50 black and white

10.

How can I tell if the graph of an inequality will have a solid line?

a)

It has just an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

11.

Do I need to flip my sign?
2x -3y  ≥ 12

a)

Yes

b)

No

12.

Which of the following equations match the given graph?

a)

y  < 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y ≤  2/5x + 1

d)

y ≥ -2/5x - 1

13.

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

a)

x + 2y < 240

b)

x + 2y > 240

c)

x + 2y ≤ 240

d)

x + 2y ≥ 240

14.

Which point is not a solution?

a)

(1, 3)

b)

(-1, 2)

c)

(3, -2)

d)

(5, 0)

15.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)