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CA Graphing Inequalities

Total questions: 19

Worksheet time: 19mins

Name
Class
Date
1.

which equation best represents this graph?

a)

y < 1/2x + 1

b)

y < 1/2x + 2

c)

y >1/2x + 2

d)

y > 2x

2.
Select the graph for y >  -2x - 3
a)
A
b)
B
c)
C
d)
D
3.
Select the graph for y ≥ -3.
a)
A
b)
B
c)
C
d)
D
4.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
5.
A limo driver needs to make more than $450 in one day.  He charges a rental fee of $375 and $0.85 per mile.  What inequality represents the number of miles, x, he would have to drive to reach his goal?
a)
0.85x + 375 > 450
b)
0.85x + 375 < 450
c)
0.85 + 375x > 450
d)
0.85 + 375x < 450
6.
a)

y < x2 - 4x + 4

b)

y ≤ x2 + 4x + 4

c)

y ≥ x2 + 4x + 4

d)

y > x2 - 4x + 4

7.
a)

y ≥ -x2 - 8x -15

b)

y < -x2 + 8x - 15

c)

y ≤ x2 - 8x + 17

d)

y ≤ -x2 + 8x - 15

8.

Which correctly shows the inequality y<(x+4)2+1y<\left(x+4\right)^2+1  ?

a)
b)
c)
d)
9.

Is the point (2, 2) a solution to the inequality y2(x3)2+2y\ge-2\left(x-3\right)^2+2  

a)

Yes

b)

No

10.

Solutions are in the ___________ area.

a)

non-shaded

b)

shaded

c)

vertex

d)

axis of symmetry

11.

The graph of a quadratic inequality has a solid line for which inequality symbols?

a)

<<

b)

\ge

c)

>>

d)

\le

12.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
13.
Which system of inequalities matches the graph?
a)
x> -2
y < -4
b)
x< 2
y> 4
c)
>  2
<  4  
d)
x > 2
<- 4
14.

Determine the inequality that is graphed here:

a)

y4+xy\ge\left|4+x\right|

b)

y>4+xy>\left|4+x\right|

c)

y<4+xy<\left|4+x\right|

d)

y4+xy\le\left|4+x\right|

15.
Which solution of inequalities matches the graph?
a)
y > 2x - 4
y < 2
b)
y < 2x - 4
y < 2
c)
y > 2x - 4
<  2 
d)
y < 2x - 4
<   -2
16.

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week?

a)
b + t < 15
3b + 6t > 66
b)
b + t > 15
3b + 6t < 66
c)
3b + 6t > 15
b + t < 66
d)
3b + 6t < 15
b + t < 66
17.
This system has an infinite number of solutions, TRUE or FALSE?
a)
TRUE
b)
FALSE
18.

Choose the correct phrase that is represented by the rebus puzzle pictured.

a)

Frosted Flakes

b)

Dandruff

c)

Frozen Flakes

d)

Flakes under Snow

19.

Choose the correct phrase that is represented by the rebus puzzle pictured.

a)
Man on board
b)
Man over board
c)
Man on the board
d)
Man under board