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Chapter 5 Review-Linear Inequalities

Total questions: 66

Worksheet time: 3hrs 18mins

Name
Class
Date
1.

2x > 12

a)

x > 6

b)

x < 6

c)

x ≥ 6

d)

x ≤ 6

2.

-3x ≤ 18

a)

x ≤ -6

b)

x ≤ 6

c)

x ≥ 6

d)

x ≥ -6

3.

When do you "flip the inequalities sign"?

a)

When you add or subtract a negative

b)

When it's a 1-step problem

c)

When you multiply or divide a negative

d)

When it's a 2-step problem

4.

Solve 3x + 7 < 22

a)

x < -29/3

b)

x < -5

c)

x < 29/3

d)

x < 5

5.

Solve 5x + 9 > 34

a)

x > -5

b)

x > 5

c)

x < -5

d)

x < 5

6.

Solve -2x - 3 ≤ 13

a)

x ≥ 8

b)

x ≥ -8

c)

x ≤ 8

d)

x ≤ -8

7.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

8.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
9.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

10.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
11.

When do you use a closed circle on a graph for an inequality?

a)

When it is ≥ or ≤

b)

When it is > or <

c)

When the number in front of the variable is negative

d)

When it is only =

12.

Write an inequality from the sentence:

Negative 4 times a number and 10 is smaller than -10

a)

-4(x + 10) < -10

b)

-4x < -10

c)

4x + 10 < -10

d)

-4x + 10 < -10

13.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
14.
Solve
a)
p ≤ -12
b)
p ≥ -12
c)
p ≤ 20
d)
p ≥ 20
15.
a)
s > -25/3
b)
s > -10.6
c)
s > -12
d)
s < 16
16.
a)
x ≤ -28/3
b)
x ≤ 28/4
c)
x ≤ 16
d)
x ≤ -5.25
17.
a)
k ≤ 56
b)
k ≥ -35
c)
k ≤ 35
d)
k ≥ -56
18.
a)
t < -19
b)
t < -22
c)
t < -13
d)
t < -25
19.
a)
x > 39
b)
x < 6
c)
x < 13/3
d)
x > 5/9
20.
a)
n < 7
b)
n > 13
c)
n < 8
d)
n > 15
21.
a)
m ≤ -8/3
b)
m ≥ 15/4
c)
m ≥ 7/9
d)
m ≤ -4/5
22.
a)
e ≥ -4
b)
e ≥ 28
c)
e ≥ -12
d)
e ≥ 24
23.
4(2a + 3) < 3(a - 1)
a)
a < -3
b)
a > -3
c)
a < 3
d)
a > 3
24.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 17
d)
x ≤ 10
25.
14 < -2a + 6 - 2a
a)
a > -2
b)
a < -2
c)
a > 5
d)
a < -5
26.
Solve.
a)
a > -24
b)
a > 6
c)
a > -36
d)
a > -10
27.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
28.
6x + 2 + 6x < 14
a)
x < 1
b)
x > 1
c)
x < -1
d)
x > -1
29.

Graph the solution set of the inequality.


–4a ≤ –28

a)
b)
c)
d)
30.
28 − k ≥ 7(k − 4)
a)
k ≥ -7
b)
k ≤ -7
c)
k ≥ 7
d)
k ≤ 7
31.
a)

a ≥ 4

b)

a ≥ -4

c)

a ≤ -4

d)

No solution

32.
Solve:  -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
33.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
34.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
35.
x+2<-4 or -5x<-15
a)
-6<x<3
b)
x<-3 and x>6
c)
x<-6 or x>3
d)
No Solution
36.
2<x+2<5
a)
0<x<3
b)
4<x<7
c)
4<x<3
d)
0<x<7
37.
a)
A
b)
B
c)
C
d)
D
38.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
39.
What inequality is graphed?
a)
x > 2 and x < 4
b)
x ≥ 2 and x ≤ 4
c)
x > 2 or x < 4
d)
x ≥ 2 or x ≤ 4
40.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
41.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
42.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
43.
Solve:
 |x + 3| > 8
a)
x > 5 or x < -11
b)
x > 5
c)
all real numbers
d)
no solution
44.
Solve:
3 | 2x + 7| - 7 < -4
a)
x < -3 and x > -5/3
b)
x < -3 and x > -4
c)
all real numbers
d)
no solution
45.
Solve.
|2x - 1| = 7
a)
x = -3 or x = 4
b)
x = 4
c)
x = 4 or x = -4
d)
no solution
46.
Solve.
-5|x - 4| > -20
a)
x < 8 and x > 0
b)
x > 8 or x < 0
c)
all real numbers
d)
no solution
47.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
48.
Which is a solution of
5(v + 3) - 10v > -10
a)
v < 5
b)
V > 5
c)
V > -5
d)
v < -5
49.

What word or phrase best describes the graph of an AND inequality?

a)

separate

b)

between

c)

not between

d)

annoying

50.

What word or phrase best describes the graph of an OR inequality?

a)

inside

b)

between

c)

not between

d)

beautiful

51.

Why do we graph inequalities?

a)

There is no good reason to graph inequalities.

b)

We need to practice our art skills.

c)

THE GRAPH SHOWS ALL THE SOLUTIONS TO THE INEQUALITY.

52.
Do I need to flip my sign?
2x -3y  ≥ 12
a)
Yes
b)
No
53.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
54.
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
55.
Select the graph for y ≥ -3.
a)
A
b)
B
c)
C
d)
D
56.
Select the graph for 5x+ y ≤  -1 .
a)
A
b)
B
c)
C
d)
D
57.
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
58.
Graph each system of linear inequalities and describe the solutions.
y > x + 1
y < x - 4
a)
Between the graphs
b)
above the graph y > x + 1
c)
below the graph y < x - 4
d)
No Solution
59.
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
60.
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
61.
Which point is not a solution?
a)
(1, 3)
b)
(-1, 2)
c)
(3, -2)
d)
(5, 0)
62.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
63.
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
64.
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.
65.
Select the correct graph for each inequality. y≤ -¾x -1
a)
A
b)
B
c)
C
d)
D
66.
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

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