Free Printable Order of operations

1.

Solve the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

2.

$\left(\left(-7\right)+\left(-9\right)-8\right)\div\left(-8\right)$

(a)

3.

Solve the following:
-2 ⋅ (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

4.

$\left(\left(-8\right)+2\right)\times\left(5\div\left(-5\right)\right)$

(a)

5.

4 + [5² + (-4 - 1)] ÷ 10

a)

2.4

b)

4

c)

6

d)

7

6.

$\left(\left(-3\right)\ +9\right)\times\left(\left(-10\right)-\left(-9\right)\right)$

(a)

7.

(-5) - (-3) x (-4)

a)

60

b)

-60

c)

-17

d)

7

8.

$(-10)\times2\ -(-7)^2$

(a)

9.

10 x (-5) + (-6)²

a)

56

b)

72

c)

-72

d)

-14

10.

$6\ \times5+(-4)^2$

(a)

11.

Solve the following:
-2 ⋅ (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

12.

$8-5\times4^2$

(a)

13.

$\frac{-3+4\left(-4\right)^2-61}{-5-8}$

a)

0

b)

undefined

c)

0/-13

d)

61

14.

(-5) - (-3) x (-4)

a)

60

b)

-60

c)

-17

d)

7

15.

$3\times\left(9+\left(-8\right)\right)^2$

(a)

16.

10 x (-5) + (-6)²

a)

56

b)

72

c)

-72

d)

-14

17.

$6\times\left(\left(-7\right)+2-9\right)$

(a)

18.

Simplify:

-8 ( -3 + -10 ) + (-5)

a)

109

b)

99

c)

-109

d)

-99

19.

$8\times2\ +5\ -6$

(a)

20.

$\frac{-3-5\left(-6\right)-3}{-9-\left(-9\right)}$

a)

0

b)

undefined

c)

24

d)

42/0

21.

A used-car dealer kept records of the selling price of his used cars in 2005. The scatterplot shows the average selling price of his used cars based on the age of the used car. Using the graph, which is the closest to the selling price of an 8-year-old car?

a)

$7500

b)

$5000

c)

$2500

d)

$500

22.

To which real number set do the following real numbers belong? (a)

Choose from the below words

Irrational Numbers

Natural Numbers

Rational Numbers

Integers

23.

Write the standard number 6,267,000 in scientific notation.

a)

62.67 x 10⁶

b)

6.267 x 10⁶

c)

6.267 x 10⁴

d)

6.267 x 10⁷

24.

Find the rate of change of the table.

a)

$1 for 3 miles

b)

$2.50 per mile

c)

$3 per mile

d)

$5 per mile

25.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

26.

What is the measure of < x in degrees?

a)

53

b)

60

c)

67

d)

113

27.

9n = -9

a)

0

b)

-1

c)

-81

d)

-18

28.

DeShawn ran 7 miles less than Christina last week. DeShawn ran 18 miles. How many miles did Christina run?

a)

11

b)

32

c)

25

d)

23

29.

What is the definition of a variable?

a)

A letter or symbol that represents an unknown quantity

b)

The little number or letter used to raise to a power

c)

The number in front of a variable

d)

The number with no variable

30.

The distance across a circle is...

a)

radius

b)

diameter

c)

circumference

d)

area

31.

What is the absolute value?

a)

The opposite of a number.

b)

The number that when added together equals 0.

c)

The distance a number is from zero.

d)

The number that when added together equals 1.

32.

Congruent means

a)

double or twice

b)

added together

c)

same or equal

33.

The distance around a circle.

a)

Area of a circle

b)

Circumference

c)

Volume

d)

Surface Area

34.

PEMDAS is the order of operations. First, what is in (a) . Then, Exponents. Next, Multiplication and (b) , finally Addition and (c) .

Choose from the below words

Parentheses

Division

Subtraction

Problem

Difference

Simplify

35.

PEMDAS is the order of operations. First, what is in (a) . Then, Exponents. Next, Multiplication and (b) , finally Addition and (c) .

Choose from the below words

Parentheses

Division

Subtraction

Problem

Difference

Simplify

36.

Match each VOCABULARY WORD with the OPERATION it uses!

a)

Total

1.

ADD

b)

Difference

2.

SUBTRACT

c)

Dividend

3.

DIVIDE

d)

Product

4.

MULTIPLY

37.

What is the correct order of operations?

a)

Work from left to right

b)

Parentheses, Exponents, Multiply & Divide, Add & Subtract

c)

Add & Subtract, Exponents, Multiply & Divide,Parentheses

d)

Parentheses, Exponents, Add & Subtract, Multiply & Divide

38.

True or false: all multiplication must be simplified before any division

a)

True

b)

False

39.

True or false: all addition must be simplified before any subtraction

a)

True

b)

False

40.

What are the steps to simplify the following expression?

50-16\div2

a)

add, multiply

b)

subtract, divide

c)

divide, subtract

d)

subtract, multiply

41.

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

42.

Which problem has a solution of 24?

a)

$-6+6\left(3\right)$

b)

$-8+4\left(9-1\right)$

c)

$-10+2\left(2\right)$

d)

$7+1\left(11-8\right)$

43.

Simplify

8-30+25

a)

47

b)

-47

c)

3

d)

-3

44.

Simplify

8+\left(-4\right)\div4

a)

-7

b)

1

c)

-1

d)

7

45.

Simplify

-3\left(-5\right)-16

a)

-8

b)

1

c)

-31

d)

-1

46.

Simplify

2+\left(9^2-4\right)

a)

16

b)

87

c)

79

d)

24

47.

Simplify

\frac{15-3}{2\left(2\right)}-8

a)

-5

b)

1

c)

5

d)

11

48.

Simplify

-56\div\left(-7\right)-\left(-3\right)

a)

5

b)

11

c)

-5

d)

-11

49.

Simplify

5-6^2\div4-3

a)

1

b)

-1

c)

7

d)

-7

50.

Simplify: -4 + 7*4 + 1

a)

8

b)

15

c)

25

d)

-43

51.

Which problem has a solution of 24?

a)

-6 + 6*3

b)

-8 + 4(9-1)

c)

-10 + 2 * 2

d)

7 + 1*(11 - 8)

52.

Find the solution: -5*(+4) + (-6)*(-3)

a)

+2

b)

+38

c)

-42

d)

-2

53.

Points earned: -6, +4, - 1, + 11, - 10. What's the final score?

a)

-16

b)

+2

c)

-2

d)

+10

54.

If a = 4, find the value of 13 - 4a.

a)

36

b)

-3

c)

-29

d)

3

55.

Solve the equation: 1/4(x + 2) = 3.

a)

x = 7

b)

x = 10

c)

x = 1_1/2

d)

x = 14

56.

Simplify: 6(x + 7) - 42

a)

6x - 84

b)

6x

c)

6x - 35

d)

42x + 35

57.

Evaluate: 7n² - 6 * 8 (n = 3)

a)

-6

b)

288

c)

32

d)

15

58.

Which problem has a solution of 6?

a)

-18 + (+6) * (-4)

b)

8 + (-6)*(+4)

c)

8 + (-18)÷ (9)

d)

-3 + (-15) ÷ (+3)

59.

Solve this equation: 4(x + 7) + 10 = 58

a)

x = 5

b)

x = 12

c)

x = -5

d)

x = 10

60.

Evaluate: 16 - 9 + 4(n - 7), when n = 9.

(Evalúa: 16 - 9 + 4(n - 7), cuando n = 9).

a)

15

b)

22

c)

92

d)

1

Order of operations

Total questions: 60

Worksheet time: 2hrs 7mins

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