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WorksheetsM8 5.6 - 5.8 Review (One-Step Inequalities)
Total questions: 75
Worksheet time: 6hrs 15mins
Name
Class
Date
1.
Solve the inequality
12 ≥ 6w
12 ≥ 6w
a)
w > 2
b)
w < 2
c)
w ≥ 2
d)
w ≤ 2
2.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
3.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
4.
24 ≤ h + 15
a)
h ≥ -9
b)
h ≥ 9
c)
h ≤ 9
d)
h ≤ 39
5.
y - 13 ≤ -15
a)
y ≤ 2
b)
y ≤ -2
c)
y ≤ 28
d)
y ≤ -28
6.
7n > 49
a)
n > 7
b)
n < 7
c)
n > 343
d)
n < 343
7.
Solve
a)
a≤1
b)
a≤25
c)
a>1
d)
a<25
8.
When solving an inequality, use the inverse/opposite operation, just like when solving equations (except for a small exception that we will review later!).
a)
Got it! Just like in the video!
b)
Oh! I remember that now!
9.
Solve for x.
a)
b)
c)
d)
10.
Solve and graph the solution.
a)
b)
c)
d)
11.
Solve and graph the solution:
-11x > 99
a)
b)
c)
d)
12.
Solve and graph the solutions.
30 + n ≥ 50
a)
b)
c)
d)
13.
Solve
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
14.
Solve and graph the solution
x - 41 > 22
a)
b)
c)
d)
15.
Solve and graph the solution:
45p > 315
a)
b)
c)
d)
16.
Solve
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
17.
Here's the exception! When you multiply or divide both sides of the inequality by a negative number, you must flip/reverse the inequality sign!
a)
Got it! Just like in the video!
b)
Hmmm, I hope I remember. Feeling shaky!
18.
Now, let's graph the solutions! Remember, open dot if the boundary IS NOT a solution (< or >) and a closed dot if the boundary IS a solution (< or >).
a)
Got it!
b)
I hope I can remember!
19.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
20.
What are two solutions to x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
21.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
22.
32 ≥ -16p
a)
p ≥ 2
b)
p ≥-2
c)
p ≤ -2
d)
p < 48
23.
The maximum score on the pilot's test is 95 points.
a)
p < 95
b)
p > 95
c)
p ≥ 95
d)
p ≤ 95
24.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
25.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
26.
Which inequality is represented by this graph?
a)
2.75 > d
b)
2.75 < d
c)
2.75 ≥ d
d)
2.75 ≤ d
27.
Does the given value make the inequality true? x + 9 > 21, when x = 15
a)
True
b)
Not True
28.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
29.
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
30.
a)
q≤46
b)
q<46
c)
q≥46
d)
q<46
31.
a)
y<139
b)
y≥55
c)
y>55
d)
y≤139
32.
Select the inequality that will require "flipping/switching the symbol."
a)
x - 2 > -18
b)
x + 2 > -18
c)
2x > -18
d)
-2x > -18
33.
a)
m>7
b)
m≤5
c)
5>m
d)
m>5
34.
a)
x<4
b)
x≤1
c)
x≤4
d)
x≥1
35.
a)
d≥59
b)
d≤69
c)
d≥49
d)
d<58
36.
a)
x≥65
b)
x≤151
c)
x>65
d)
x≥151
37.
Which numbers are possible solutions for the inequality numbered below? (Pick more than one answer)
a)
11
b)
13.5
c)
-12
d)
14
38.
Which value of x is NOT in the solution set shown on the number line?
a)
-6
b)
-5.3
c)
-4
d)
-4.1
39.
n - 8 ≥ 3
a)
n≥11
b)
n≥-11
c)
n≤11
d)
n≥5
40.
When solving an inequality, if you divide by a negative, you have to FLIP the sign.
a)
true
b)
false
41.
When solving an inequality, if you add a negative, you have to FLIP the sign.
a)
true
b)
false
42.
Solve
-9h > -63
-9h > -63
a)
h < 7
b)
h > 7
c)
h < -7
d)
h > -7
43.
-24 + k ≤ 10
a)
k ≤ 14
b)
34 ≤ k
c)
k ≤ 34
d)
14 ≤ k
44.
Find the solution to...
-48 < 12c
-48 < 12c
a)
c > -4
b)
-4 > c
c)
c < -4
d)
4 < c
45.
Find the solution to
k / -2 < 10 (remember / means to divide)
k / -2 < 10 (remember / means to divide)
a)
k < -5
b)
k > -5
c)
k < -20
d)
k > -20
46.
Select the inequality that will require "flipping/switching the symbol."
a)
x - 2 > -18
b)
x + 2 > -18
c)
2x > -18
d)
-2x > -18
47.
On a number line, numbers increase going in what direction?
a)
Left
b)
Right
c)
NW
d)
SE
48.
Does the sign need to flip when solving this inequality?
3k ≥ -15
3k ≥ -15
a)
Yes
b)
No
49.
Which inequality is represented by the following graph
a)
x < -8
b)
x > -8
c)
x ≥ -8
d)
x ≤ -8
50.
Which inequality is represented by the following graph
a)
x > 9
b)
x < 9
c)
x ≥ 9
d)
x ≤ 9
51.
Write the word sentence as an inequality
a number b is at least -16
a number b is at least -16
a)
b ≥ -16
b)
b ≤ -16
c)
b = -16
d)
b > -16
52.
Write the word sentence as an inequality
6 times a number x is at most 47
6 times a number x is at most 47
a)
6x > 47
b)
6x ≥ 47
c)
6x < 47
d)
6x ≤ 47
53.
Solve the inequality
x - 2 < 5
x - 2 < 5
a)
x < 3
b)
x ≥ 7
c)
x < 7
d)
x ≤ 7
54.
Solve the inequality
2 ≥ y - 12
2 ≥ y - 12
a)
y ≤ 14
b)
y > 14
c)
y < 10
d)
y ≤ 10
55.
Solve the inequality
b ÷ 2 > 4
b ÷ 2 > 4
a)
b < 8
b)
b ≥ 8
c)
b > 8
d)
b > 2
56.
Solve the inequality
12 ≥ 6w
12 ≥ 6w
a)
w > 2
b)
w < 2
c)
w ≥ 2
d)
w ≤ 2
57.
Tell whether the given value is a solution to the inequality
x - 5 ≤ 10 ; x = 6
x - 5 ≤ 10 ; x = 6
a)
IS a solution
b)
IS NOT a solution
58.
Tell whether the given value is a solution to the inequality
y + 4 < 16 ; y = 13
y + 4 < 16 ; y = 13
a)
IS a solution
b)
IS NOT a solution
59.
A slice of pizza costs $3.50. You have $25.00 in your wallet to spend on pizza. Write an inequality to represent the number, p, of slices of pizza you can buy.
a)
3.50p < 25.00
b)
3.50p > 25.00
c)
3.50p ≤ 25.00
d)
3.50p ≥ 25.00
60.
On Friday Fun Day, Mrs. Burns must divide her class into 4 groups with at least 6 students in each group. Write an inequality to find the number, s, of students in class.
a)
s ÷ 4 ≥ 6
b)
s ÷ 4 ≤ 6
c)
s ÷ 6 ≥ 4
d)
s ÷ 6 ≤ 4
61.
Translate the following sentence into an inequality
four more than a number is less than 17
four more than a number is less than 17
a)
x + 4 > 17
b)
x + 4 ≤ 17
c)
x + 4 < 17
d)
x < 17 + 4
62.
Translate the word sentence into an inequality
a number, t, divided by 80 is at most 5.25
a number, t, divided by 80 is at most 5.25
a)
t ÷ 80 ≥ 5.25
b)
t ÷ 80 ≤ 5.25
c)
t ÷ 80 > 5.25
d)
t ÷ 80 < 5.25
63.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
64.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
65.
Describe the graph for the solution for the following inequality:
a + 13 ≥ 20
a + 13 ≥ 20
a)
Closed circle; arrow pointing left
b)
Open circle; arrow pointing left
c)
Closed circle; arrow pointing right
d)
Open circle; arrow pointing left
66.
Solve
-5m < 10
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
67.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
68.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
69.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
70.
y - 13 ≤ -15
a)
y ≤ 2
b)
y ≤ -2
c)
y ≤ 28
d)
y ≤ -28
71.
Solve the inequality
x - 2 < 5
x - 2 < 5
a)
x < 3
b)
x ≥ 7
c)
x < 7
d)
x ≤ 7
72.
Solve the inequality
12 ≥ 6w
12 ≥ 6w
a)
w > 2
b)
w < 2
c)
w ≥ 2
d)
w ≤ 2
73.
7n > 49
a)
n > 7
b)
n < 7
c)
n > 343
d)
n < 343
74.
m ⁄ 7 > -14
a)
m > -98
b)
m < -98
c)
m > -2
d)
m < -2
75.
x - 9 > 10
a)
x > - 19
b)
x > 19
c)
x < 19
d)
x < 1
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