Free Printable Inequalities Review

1.

To qualify for an award, a student volunteers no less than 25 hours each month at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

a)

30w < 25

b)

7w > 25

c)

4w ≥ 25

d)

4w ≤ 25

2.

6. Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?

a)

x/5.50 ≥ 5225

b)

5.50x ≥ 5225

c)

x + 5.50 ≤ 5225

d)

x - 5.50 ≤ 5225

3.

You bike at a speed no faster than 17.6 miles per hour. Write and solve an inequality that represents how long you must ride in order to go 70 miles.

a)

17.6h < 70

b)

17.6 + h ≥ 70

c)

h/17.6 ≥ 70

d)

17.6h ≤ 70

4.

A student must be at least 15 years old to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

5.

To order from the kids menu a person must be no more than 12 years old.

a)

x > 12

b)

x < 12

c)

x ≥ 12

d)

x ≤ 12

6.

You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds.Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.

a)

X ≤ 169

b)

X < 169

c)

X < 156

d)

X > 156

7.

You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping.

a)

X > 5.05

b)

X ≥ 5. 05

c)

X > 69.95

d)

X ≥ 69.95

8.

Solve:
-4(-7-5x) > 188

a)

x < -32

b)

x > -32

c)

x < 8

d)

x > 8

9.

Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. Write an inequality to determine the number of months, m, it will take Svetlana's hair to grow so it is at least 7 centimeters long.

a)

4+ 1.5m <= 7

b)

1.5m - 4 <=7

c)

1.5m - 4>= 7

d)

1.5m + 4 >= 7

10.

Write an inequality for the situation:
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?

a)

10x + 65 ≥ 40

b)

4x + 10 ≤ 65

c)

4x - 10 ≤ 65

d)

65 + 4x ≥ 40

11.

3. Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?

a)

16 weeks

b)

14 weeks

c)

12 weeks

d)

10 weeks

12.

Suzy is buying In-N-Out Burger for lunch for her friends. The hamburgers cost $3.50 each and the drinks cost $1.50 each. She wants to spend no more than $30 on lunch. What inequality represents the number of hamburgers, h, and number of drinks, d, that she can buy?

a)

3.5h + 1.5d ≤ 30

b)

3.5d + 1.5h ≤ 30

c)

3.5h + 1.5d ≥ 30

d)

3.5h + 1.5d < 30

13.

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

a)

X < 5

b)

X > 5

c)

X ≥ 5

d)

X ≤ 5

14.

What inequality symbol goes with is at least?

a)

<

b)

>

c)

≤

d)

≥

15.

Match the graph with its inequality. hint: don't be tricked by the variable on the right.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

16.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

17.

Which inequality is represented by this graph? hint: don't be tricked by the variable on the left

a)

2.75 > d

b)

2.75 < d

c)

2.75 ≥ d

d)

2.75 ≤ d

18.

Will my circle be colored in?
5 ≥ x

a)

Yes

b)

No

19.

The product of 7 and p

a)

7p

b)

7u

c)

7+6

d)

7 ÷ p

20.

3 less than a number

a)

n − 3

b)

3 − n

c)

−3n − 3

d)

n + 3

21.

The sum of 5 and a number

a)

x ÷ 5

b)

5 + x

c)

x − 5

d)

5x

22.

10 less than the product of a number and three

a)

10 − 4

b)

10 − 3y

c)

3y − 10

d)

3÷y − 10

23.

2 times the sum of y and 5

a)

62

b)

2(y+5)

c)

2(6y)

d)

2 ∗ y + 5

24.

Which of the following is a solution to the inequality?
m < 25

a)

m = 30

b)

m = 25

c)

m = − 91

d)

m = 27

25.

Which inequality symbol represents the statement.
Exceeds

a)

>

b)

≤

c)

≥

d)

<

26.

x is no more than 100

a)

x ≤ 100

b)

x ≥ 100

c)

x < 100

d)

x > 100

27.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

28.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

29.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

30.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

31.

When graphing b< 6 would you use an open or closed circle?

a)

Open

b)

closed

32.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

33.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

34.

more than

a)

<

b)

>

c)

≤

d)

≥

35.

Fewer Than

a)

<

b)

>

c)

≤

d)

≥

36.

No More Than

a)

<

b)

>

c)

≤

d)

≥

37.

At Least

a)

<

b)

>

c)

≤

d)

≥

38.

At Most

a)

<

b)

>

c)

≤

d)

≥

39.

less than or equal to

a)

<

b)

>

c)

≤

d)

≥

40.

Less Than

a)

<

b)

>

c)

≤

d)

≥

41.

Not Below

a)

<

b)

>

c)

≤

d)

≥

42.

Below

a)

<

b)

>

c)

≤

d)

≥

43.

No Fewer Than

a)

<

b)

>

c)

≤

d)

≥

44.

maximum

a)

<

b)

>

c)

≤

d)

≥

45.

Not Exceeding

a)

<

b)

>

c)

≤

d)

≥

46.

Above

a)

<

b)

>

c)

≤

d)

≥

47.

greater than or equal to

a)

<

b)

>

c)

≤

d)

≥

48.

is no less than

a)

<

b)

>

c)

≤

d)

≥

49.

minimum

a)

<

b)

>

c)

≤

d)

≥

50.

Exceeding

a)

<

b)

>

c)

≤

d)

≥

51.

Not Above

a)

<

b)

>

c)

≤

d)

≥

52.

Greater than

a)

<

b)

>

c)

≤

d)

≥

53.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

54.

Solve:
8m - 9 > 71

a)

m > 10

b)

m > 1

c)

m < 1

d)

m > -48

55.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

56.

Solve:
8 - 3k < 8(1 - 7k)

a)

k < 5

b)

k > 5

c)

k < -33

d)

k < 0

57.

2x + 3 ≤ 15

a)

x ≤ 6

b)

x ≥ -6

c)

x ≤ 9

d)

x≤ -9

58.

Which is a solution of
5(v + 3) - 10v > -10

a)

v < 5

b)

v > 5

c)

v > -5

d)

v < -5

59.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

60.

Which number line shows the solution set to the inequality below?
x - 3 > -3

a)

A

b)

B

c)

C

d)

D

61.

Which number line shows the solution set to the inequality below?
2x ≤ -6

a)

A

b)

B

c)

C

d)

D

62.

-2x + 5 > 15

a)

x > -5

b)

x < -5

c)

x = 5

d)

x is greater than or equal to -5

63.

-5(1 - 4a) > -5

a)

a > 0

b)

a < 5

c)

a < 0

d)

a > 5

64.

- 5 x ≥ 30

a)

x ≥ -6

b)

x > 6

c)

x < 6

d)

x ≤ -6

65.

solve the following inequality
5-(4x -5) ≤ 30

a)

x ≤ -5

b)

x < 10

c)

x ≥ -5

d)

x ≥ 10

66.

solve the following inequality
5-(4x -5) ≤ 30

a)

x ≤ -5

b)

x < 10

c)

x ≥ -5

d)

x ≥ 10

67.

The second step in solving this inequality is________
- 5 x - 4 > 20

a)

add 4

b)

multiply by -5

c)

divide by -5

d)

subtract 4

68.

solve 5( 6 + 3r) + 7 ≥ 127

a)

r ≤ 6

b)

r ≥ 6

c)

r ≤ -6

d)

r ≥ -6

Inequalities Review

Total questions: 68

Worksheet time: 7hrs 15mins

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