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Worksheets

(7) 5-9

Total questions: 136

Worksheet time: 13hrs 7mins

Name
Class
Date
1.
Greater than
a)
<
b)
>
c)
d)
2.
Less Than
a)
<
b)
>
c)
d)
3.
Less than or equal to
a)
<
b)
>
c)
d)
4.
Greater than or equal to
a)
<
b)
>
c)
d)
5.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
6.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
7.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
8.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
9.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
10.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
11.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
12.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
13.
-12y - 11 < 49
a)
y < -5
b)
y > - 5
c)
y > 5
d)
y < 5
14.
-3r + 10 < -2
a)
r < -8/3
b)
r > -8/3
c)
r > 4
d)
r < 4
15.
Which graph represents the inequality  6 > x
a)
A
b)
B
c)
C
d)
D
16.
Pick the correct inequality.
a)
x < -6
b)
x ≥ -6
c)
x > -6
d)
x ≤ -6
17.
When graphing an inequality, you use an OPEN dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
18.
When you graph an inequality, you used a CLOSED dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
19.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
20.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
21.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
22.
25 < X - 10
a)
X > 35
b)
X < 35
c)
X > -35
d)
X < -35
23.
28 > m - 4
a)
m < 32
b)
m > 32
c)
m < 24
d)
m > 24
24.
4h < 8
a)
h<32
b)
h<2
c)
h<4
d)
h>2
25.
k/2 ≥ 8
a)
k≥16
b)
k≥6
c)
k≥4
d)
k≥10
26.
x/4 ≤ 8
a)
x≤2
b)
x≤32
c)
x≤12
d)
x≤4
27.
3g >12
a)
g>36
b)
g<36
c)
g>4
d)
g<4
28.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
29.
14 < -2a + 6 - 2a
a)
a > -2
b)
a < -2
c)
a > 2
d)
a < 2
30.
5z - 2 - 2z < 13
a)
z > 5
b)
z < 5
c)
z > 1
d)
z < 1
31.
-3 ≥ x - 1
a)
2 ≥ x
b)
4 ≥ x
c)
-4 ≥ x
d)
-2 ≥ x
32.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
33.
26 < f + 32
a)
f > -6
b)
f < -6
c)
f < 6
d)
f < 55
34.
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
35.
10 < 3x + 19
a)
x < 3
b)
x > 3
c)
x < -3
d)
x > -3
36.
The product of a number and 5 is less than 55.  Find the number.
a)
x < 5
b)
x < 55
c)
x ≤ 5
d)
x < 11
37.
Solve
3.6 - 4.85a ≥ -6.1
a)
2 ≤ a
b)
a ≤ 2
c)
-2 ≥ a
d)
a ≥ -2
38.
Which is the solution of k/12 ≤ 7?
a)
-84 ≥ k
b)
k ≤ 84
c)
k ≥ 84
d)
k ≥ -84
39.

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

40.

2x > 12

a)

x > 6

b)

x < 6

c)

x ≥ 6

d)

x ≤ 6

41.

-3x ≤ 18

a)

x ≤ -6

b)

x ≤ 6

c)

x ≥ 6

d)

x ≥ -6

42.

Solve 3x + 7 < 22

a)

x < -29/3

b)

x < -5

c)

x < 29/3

d)

x < 5

43.

Solve 5x + 9 > 34

a)

x > -5

b)

x > 5

c)

x < -5

d)

x < 5

44.

Solve -2x - 3 ≤ 13

a)

x ≥ 8

b)

x ≥ -8

c)

x ≤ 8

d)

x ≤ -8

45.

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 =

46.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

47.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
48.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

49.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
50.

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

51.

What are like terms?

a)

Terms with different variables

b)

Terms with the same variables

c)

Terms with no variables

52.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
53.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
54.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
55.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
56.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
57.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
58.

4p-11p

(a)  

59.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
60.
Simplify the expression: 
3t + 7y + t + 3y
a)
3t + 10y
b)
4t + 10y
c)
4t + 4y
61.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
62.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
63.

X2 can be combined with X

a)

True

b)

False

64.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
65.

5a + 2b - 7b + 4a

a)

7b - 3a

b)

9a - 5b

c)

4ab

d)

12a + 6b

66.

8y + 5 - 2y

a)

6y + 5

b)

11y

c)

10y + 5

d)

15y

67.
2f + f
a)
3f
b)
2f
c)
f
68.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
69.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
70.
5a + 2a + 2a 
a)
9a
b)
8a
c)
7a
71.
3b + b - 2b 
a)
3b
b)
b
c)
2b
72.
6x + 2x + 1 + 4
a)
8x + 5 
b)
2x - 3
c)
4x - 2
d)
8x + 12 
73.
6x + 2x + 1 + 4
a)
8x + 5 
b)
2x - 3
c)
4x - 2
d)
8x + 12 
74.
-4x - 10x
a)
-14
b)
6x
c)
-6x
d)
-14x
75.
-2x + 11 + 6x
a)
8x+11
b)
4x +11
c)
4x
d)
15x
76.

Simplify

-6 + 2a + 1 + 2a

a)

-4a + 5

b)

-5 + 4a

c)

4a +5

d)

-4a - 5

77.

5x + 3x - 9

a)

7x - 9

b)

17x

c)

8x - 9

d)

-x

78.

8y + 5 - 2y

a)

6y + 5

b)

11y

c)

10y + 5

d)

15y

79.

-9n + 12n + 7

a)

28n

b)

10n

c)

21n + 7

d)

3n + 7

80.

7 - 5m - 10m

a)

7 + 15m

b)

7 + 5m

c)

7 - 5m

d)

7 - 15m

81.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
82.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
83.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
84.
Simplify the following expression:
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
85.
Simplify the following expression:
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
86.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
87.

2x + 6 = 18

a)

x = 12

b)

x = -6

c)

x = 6

d)

x = -12

88.

4x - 5 = 11

a)

x = -4

b)

x = 6

c)

x = -6

d)

x = 4

89.

-3x + 8 = -1

a)

x = 5

b)

x = 3

c)

x = -5

d)

x = -3

90.

-1x + 10 = 5

a)

x = 5

b)

x = 15

c)

x = -5

d)

x = -15

91.

14 = 6x - 4

a)

x = -3

b)

x = 10

c)

x = -10

d)

x = 3

92.

3x - 9 = 9

a)

x = 0

b)

x = 6

c)

x = 18

d)

x = 3

93.

-8x + 3 = 27

a)

x = -4

b)

x = 3

c)

x = -3

d)

x = 4

94.

-10 = 4x + 6

a)

x = -4

b)

x = 1

c)

x = 4

d)

x = -1

95.

3x - 7 = -16

a)

x =7

b)

x = -3

c)

x = 3

d)

x = -7

96.

12 = 5x + 17

a)

x = -1

b)

x = 1

c)

x = 5

d)

x = -5

97.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
98.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
99.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
100.
Figure out what n equals in this equation:
6n + 4 = -26
a)
n=-6
b)
n= -5
c)
n= 8
d)
n= -4
101.
The goal of solving two-step equations is to:
a)
francine
b)
Find the coefficient 
c)
Find the value of the variable
102.
-4x+1=21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
103.
Solve each equation for the following variable. 
1.     x - 4 = 12
a)
x = 8
b)
x = 16
c)
x = -8
d)
x = 3
104.
10.    x / 2  - 5 = 3
a)
x = -2
b)
x = 2
c)
x = 16
d)
x = 8
105.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
106.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
107.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
108.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
109.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
110.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
111.
2x + 16 = 130
a)
x=114
b)
x=57
c)
x=-114
d)
x=-57
112.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
12
113.
Solve   -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
114.
Solve  9 + 3x = 10
a)
2/3
b)
1/3
c)
-1/3
d)
4
115.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
116.
3x - 5 = -26
a)
x=-21
b)
x=21
c)
x=-7
d)
x=61
117.
Solve  3x - 7 = 32
a)
13
b)
-13
c)
12
d)
-12
118.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
12
119.
Solve   -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
120.
Solve  12 - 6y = 24
a)
-1
b)
-2
c)
-3
d)
-4
121.
WRITE AN EQUATION
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
a)
331=7x+6
b)
331=13x
c)
331=6x+7
d)
331-7=6x
122.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
123.
Figure out what n equals in this equation:
6n + 4 = -26
a)
n=-6
b)
n= -5
c)
n= 8
d)
n= -4
124.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
125.
Solve  3x - 7 = 32
a)
13
b)
-13
c)
12
d)
-12
126.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
127.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
128.

Solve for s:

a)

s= 10

b)

s= -6

c)

s= 18

d)

s=-10

129.

Solve for d:

a)

d = 24

b)

d = -48

c)

d = -3

d)

12

130.
Solve.
8 = 2x - 12
a)
10
b)
-2
c)
-8
d)
18
131.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.
a)
h = 2(9) + 15
b)
33 = 15h + 2
c)
h = 15(9) + 2
d)
33 = 2h + 15
132.
Ken is thinking of a number. Nine more than the product of 4 and the number is 73. What is the equation?
a)
4 + 9x = 73
b)
4x = 73
c)
4x + 9 = 73
d)
9x + 4 = 73
133.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
134.
Solve      7y - 4 = -11
a)
1
b)
2
c)
-1
d)
-2
135.
Solve
a)
5
b)
-6
c)
6
d)
21
136.
Jennifer has read 110 pages of a 290-page book. She reads 20 pages each day. How many days will it take her to finish the book?
a)
9 days
b)
10 days
c)
20 days
d)
13 days