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Linear Inequalities

Total questions: 13

Worksheet time: 1hrs 20mins

Name
Class
Date
1.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
2.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
3.
Consider the function y<2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
None of these.
4.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
5.
Which point below is NOT a part of the solution set?
a)
(0, 0)
b)
(0, 1)
c)
(-100, -3)
d)
(5, 10)
6.
Do I need to flip my sign?
3x  ≥ 12
a)
Yes
b)
No
7.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
8.
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
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.
Which of the following equations match the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
11.

Which of the following equations match the given graph?

a)

y34x+3y≤-\frac{3}{4}x+3

b)

y34x+3y≥-\frac{3}{4}x+3

c)

y<34x+3y<-\frac{3}{4}x+3

d)

y>34x+3y>-\frac{3}{4}x+3

12.
Translate the following phrase: Tom can spend no more than 20 dollars on his mom's birthday present.
a)
t > 20
b)
t < 20
c)
t ≤ 20
d)
t ≥ 20
13.
You need to save a minimum of $1200 to purchase your new laptop.  If you already have saved $400 and make 11 per hour, h, at your job, which inequality could be use to solve to determine how many hours you need to work to save enough money.
a)
11h + 1200 ≥ 400
b)
11h + 400 < 1200
c)
11h + 400 > 1200
d)
11h + 400 < 1200