Free Printable Order of Operations and Solving Inequalities

1.

What does the term "squared" mean?

a)

raised to the power of 3

b)

raised to the power of 4

c)

raised to the power of 2

2.

$7+\left(12-3\right)^2$

a)

256

b)

88

c)

10

d)

13

3.

$\left(15\div3\right)^2+9\div3$

a)

11.3

b)

28

c)

13

4.

Anything raised to a power of zero is always...

a)

0

b)

1

c)

itself

d)

negative

5.

$27\div3\times2+4^2$

a)

34

b)

20.5

c)

26

6.

$\left(2+7-1\right)\div2^2$

a)

16

b)

2

c)

72.25

d)

8.75

7.

$8^2+\left(7-4\right)^2$

a)

74

b)

72

c)

70

d)

73

8.

$2^5$ is the same as $2\times5$

a)

True

b)

False

9.

Which expression is equivalent to $6^2-2^3$ ?

a)

$\left(6-2\right)\times5$

b)

$\left(6\times6\right)-\left(2\times2\times2\right)$

c)

$\left(6\times2\right)-\left(2\times3\right)$

d)

$\left(6+6\right)-\left(2+2+2\right)$

10.

$2\times14\div\left(3^2-2\right)$

a)

3

b)

8

c)

6

d)

4

11.

Find and explain the error:

5 - 3 + 2

5 - 5

0

a)

There is no error

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

12.

$2+\left[20-\left(9\times2\right)\right]$

a)

1

b)

22

c)

4

d)

6

13.

$\left[\left(12\div2\right)-4\right]+\left(8\times2\right)$

a)

16

b)

17

c)

18

d)

20

14.

$2+\left[\left(20-13\right)\times5\right]\div\left(4+3\right)$

a)

5

b)

6

c)

7

d)

8

15.

$\left[\left(7-5\right)^2\div2\right]\times\left(3+4+10\right)$

a)

39

b)

38

c)

42

d)

34

16.

$\left(8-3+9\right)\times5\div7-6$

a)

4

b)

2

c)

8

d)

7

17.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

18.

Write an inequality for this statement:

You must be at least 48 inches tall to ride the bumper cars.

a)

$h\ <\ 48$

b)

$h\ >\ 48$

c)

$h\ \ge\ 48$

d)

$h\ \le\ 48$

19.

What inequality does the number line graph represent?

a)

x > 4

b)

x > -4

c)

x < 4

d)

x ≥ -4

20.

$4+y<-8$

a)

y < 4

b)

y < - 12

c)

y < - 4

d)

y < 12

21.

The room can hold a maximum of 400 people. If there are already 134 people there, how many more can come? Identify the inequality that represents this situation.

a)

$x\ -\ 134\ <\ 400$

b)

$x\ +\ 134\ <\ 400$

c)

$x\ -\ 134\ \le\ 400$

d)

$x\ +\ 134\ \le\ 400$

22.

Solve the inequality:
$23\ <\ f\ +\ 12$

a)

f > 11

b)

f > 35

c)

f < 35

d)

f < 11

23.

Solve the inequality:
$\frac{z}{3}\le3$

a)

$z\ \le\ 1$

b)

$z\ >\ 9$

c)

$z\ \le\ 9$

d)

$z\ <\ 9$

24.

What are two solutions to x < 8 ?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

25.

Solve the inequality:
$-5m<10$

a)

m < - 2

b)

m > - 2

c)

m < - 50

d)

m > - 50

26.

Solve the inequality:
$-\frac{4}{3}m\le\frac{25}{12}$

a)

$m\ge-\frac{25}{16}$

b)

$m\le\frac{17}{6}$

c)

$m\le\frac{25}{16}$

d)

$m\ge\frac{25}{16}$

27.

Solve the inequality:
$-3x\ge-18$

a)

$x\le6$

b)

$x\ge6$

c)

$x\le-6$

d)

$x\ge-6$

28.

Solve the inequality:
$\frac{a}{13}\ge-8$

a)

$a\ge-104$

b)

$a\le5$

c)

$a\le-\frac{8}{13}$

d)

$a\ge-\frac{8}{13}$

29.

Solve and graph.
p - 3 > -8

a)

A

b)

B

c)

C

d)

D

30.

Solve and graph.
n + 21 < 0

a)

A

b)

B

c)

C

d)

D

31.

Solve and graph.
-83 < n - 80

a)

A

b)

B

c)

C

d)

D

32.

Solve and graph.
8a > -136

a)

A

b)

B

c)

C

d)

D

Order of Operations and Solving Inequalities

Total questions: 32

Worksheet time: 27mins

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