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Write and Solve One-Step Multiplication and Division Inequalitie

Total questions: 67

Worksheet time: 3hrs 38mins

Name
Class
Date
1.
Solve 
-9h > (-63)
a)
h < 7
b)
h > 7
c)
h < -7
d)
h > -7
2.
Solve and graph.
v/8 < -3
a)
A
b)
B
c)
C
d)
D
3.

a)

x≤ -6

b)

x ≥ -6

c)

x ≤ 6

d)

x ≥ 6

4.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
5.
Solve
(n/3) > -20 
a)
n > 60
b)
n < -17
c)
n > -60
d)
n < -23
6.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
7.

Solve the inequality.

30 + n ≥ 50

a)

n ≥ 50

b)

x ≥ 80

c)

n ≤ 30

d)

n ≥ 20

8.
Match:
The postal scale will weigh a maximum of 50 lbs.
a)
 p < 50
b)
p > 50
c)
p ≤ 50
d)
p ≥ 50
9.
Match:
You must be at least 48 inches tall to ride the bumper cars.
a)
h < 48
b)
h > 48
c)
h ≤ 48
d)
h ≥ 48
10.
Is the following item an expression, equation, or inequality.
13 + 6
a)
Expression
b)
Equation
c)
Inequality
11.
Will my dot be colored in?
5 ≥ x
a)
Yes
b)
No
12.
Does the sign need to flip when solving?
-2x ≥ 22
a)
YES
b)
NO
13.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
14.

Solve

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

15.
Solve 
-9h > (-63)
a)
h < 7
b)
h > 7
c)
h < -7
d)
h > -7
16.
Does the sign need to flip when solving?
8y < (-40)
a)
YES
b)
NO
17.

Solve

2m > 8

a)

m < 4

b)

m > 4

c)

m < - 4

d)

m > - 4

18.

Solve

5x ≥ 15

a)

x > 3

b)

x < 3

c)

x ≥ 3

d)

x ≤ 3

19.
Does the sign need to flip when solving?
m - 5 > 8
a)
Yes
b)
No
20.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
21.
Solve 
-9h > (-63)
a)
h < 7
b)
h > 7
c)
h < -7
d)
h > -7
22.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
23.
Solve
(n/3) > -20 
a)
n > 60
b)
n < -17
c)
n > -60
d)
n < -23
24.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
25.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
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.
a)
x≤ -6
b)
x ≥ -6
c)
x ≤ 6
d)
x ≥ 6
28.
A negative times a positive is a .....?
a)
positive 
b)
negative
29.
Solve and graph.
n/3 ≥ 9
a)
A
b)
B
c)
C
d)
D
30.
Solve and graph.
v/8 < -3
a)
A
b)
B
c)
C
d)
D
31.
Solve and graph.
25v ≥ 300
a)
A
b)
B
c)
C
d)
D
32.
If an inequality has a < or >, how do you graph the point on the graph?
a)
As an open circle
b)
As a closed circle
33.
Solve
a)
x < -20
b)
x ≥ -24
c)
x = 20
d)
x ≤ -24
34.
What is the correct translation of " a number, y, is less than 3"
a)
x<3
b)
y>3
c)
y-3
d)
y<3
35.
a)
y>14
b)
y>15
c)
y>16
d)
y≥15
36.
Solve and graph.
-83 < n - 80 
a)
A
b)
B
c)
C
d)
D
37.
Solve and graph.
8a > -136
a)
A
b)
B
c)
C
d)
D
38.

Why do you divide by 5?

a)

To undo division, you must multiply.

b)

To balance the equation, you must divide by 5 on both sides.

c)

To undo multiplication, you must divide.

d)

To balance the equation, you must multiply by 5 on both sides.

39.

Why do you divide by 5 on both sides?

a)

To undo division, you must multiply.

b)

To balance the equation, you must divide by 5 on both sides.

c)

To undo multiplication, you must divide.

d)

To balance the equation, you must multiply by 5 on both sides.

40.

Why do you multiply by 7 on both sides?

a)

To undo division, you must multiply.

b)

To balance the equation, you must divide by 7 on both sides.

c)

To undo multiplication, you must divide.

d)

To balance the equation, you must multiply by 7 on both sides.

41.

Why do you multiply by 7?

a)

To undo division, you must multiply.

b)

To balance the equation, you must divide by 7 on both sides.

c)

To undo multiplication, you must divide.

d)

To balance the equation, you must multiply by 7 on both sides.

42.

How do you solve this equation?

a)

divide by 3 on both sides

b)

divide by 3.3 on both sides

c)

multiply by 3 on both sides

d)

multiply by 3.3 on both sides

43.

Solve this equation.

a)

x = 9

b)

x = 9.9

c)

x = 1

d)

x = 1.1

44.

Why do you multiply by 8?

a)

To undo division, you must multiply.

b)

To balance the equation, you must divide by 8 on both sides.

c)

To undo multiplication, you must divide.

d)

To balance the equation, you must multiply by 8 on both sides.

45.

Why do you multiply by 8 on both sides?

a)

To undo division, you must multiply.

b)

To balance the equation, you must divide by 8 on both sides.

c)

To undo multiplication, you must divide.

d)

To balance the equation, you must multiply by 8 on both sides.

46.

How do you solve this equation?

a)

divide by 8 on both sides

b)

divide by 10 on both sides

c)

multiply by 8 on both sides

d)

multiply by 10 on both sides

47.

Solve this equation.

a)

h = 80

b)

h = 8

c)

h = 1.25

d)

h = 12.5

48.

-4x > -16

a)

x < 4

b)

x > 4

c)

x < -4

d)

x > -4

49.
-3x ≥ 9 
a)
x ≥ 12
b)
x ≥ -3
c)
x ≤ -3
d)
x ≤ -12
50.
-4x ≥  8
a)

x ≤ -2

b)

x ≥ -2

c)

x ≥ 12

d)

x ≥ 4

51.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

52.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
53.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
54.

Solve

−n3>−20-\frac{n}{3}>-20

a)

n < 60

b)

n < -17

c)

n > -60

d)

n < -23

55.

Solve.

-9h > -63

a)

h < 7

b)

h > 7

c)

h < -7

d)

h > -7

56.

Solve n−3>−20\frac{n}{-3}>-20

a)

n > 60

b)

n < -60

c)

n > -60

d)

n < 60

57.

Solve.

10 > -5m

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

58.
What is the correct translation of " a number, y, is less than 3"
a)

x < 3

b)

y > 3

c)

y < -3

d)

y < 3

59.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
60.

When do we switch the inequality symbol?

a)

when multiplying or dividing by a negative number

b)

when adding or subtracting a negative number

c)

when the answer is a negative number

d)

When there is a negative number in the problem

61.

Solve the inequality

−9x≥−27-9x\ge-27  



(a)  

62.

Would you use a closed circle on an open circle to graph x ≥\ge  -9?

a)

open circle, because it is a greater than or equal to sign

b)

open circle, because it is a less than or equal to sign

c)

closed circle, because it is a greater than or equal to sign

d)

closed circle, because it is a less than or equal to sign

63.
32 ≥ -16p 
a)

p ≥ 2

b)

p ≥ -2

c)

p ≤ -2

d)

p < 48

64.
Solve
a)

n < -16

b)

n < 6

c)

n = 16

d)

n > 16

65.

Juanita has $25, and she makes $11 per hour. She needs at least $58 to buy new shoes. Write and solve an inequality to determine how many hours Juanita must work to be able to buy new shoes.

(a)  

66.

A flooring company uses 8 nails for every square foot of hardwood its employees install. They have already used 2,000 nails on a section of a floor. They can use a maximum of 5,000 nails before they run out. Write and solve an inequality to determine how many more square feet the employees can install before running out of nails.

a)

less than 375 square feet

b)

375 more square feet

c)

at least 375 more square feet

d)

at most 375 more square feet

67.

Enrique reads 2 pages of his book every minute. He has already read 16 pages. Enrique’s assignment is to read at least 40 pages. Write and solve an inequality to determine how many more minutes Enrique must read.

a)

x ≤ 12

b)

x ≥ 12

c)

x ≥ 42

d)

x ≥ 38

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