Free Printable Challenge!

1.

How would you evaluate this problem?

a)

4x4x4 = 64

b)

4x4 = 16

c)

4x3 =12

d)

4

2.

In PEMDAS, what does the M stand for?

a)

Masterful

b)

Mad

c)

Math

d)

Multiplication

3.

$10-\left(7+1\right)$

a)

2

b)

4

c)

6

d)

8

4.

$18\ \div\left(6+3\right)$

a)

4

b)

8

c)

12

d)

2

5.

$4^2\cdot2+8\cdot7$

a)

80

b)

14

c)

50

d)

88

6.

Solve: $5-2\left(2^3-5\right)$

a)

-1

b)

3

c)

-9

d)

9

7.

What would be my first step to simplify?
3 + 4 x 6 - 4

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

8.

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

d)

5-5= -10

9.

What does cubed mean?

a)

Multiply the factor times itself two times.

b)

Multiply the factor times two.

c)

Multiply the factor times three.

d)

Multiply the factor times itself three times.

10.

Who is correct?

Sallie

$16\div2\times8=64$

Brian

$16\div2\times8=1$

a)

Sallie

b)

Brian

c)

I'm not sure

d)

Both

11.

How many operations does the expression

$3-7\div4\times12$ contain?

a)

1

b)

2

c)

3

d)

4

12.

Which of the steps in GEMDAS requires the left to right rule? Select all that apply.

a)

Grouping

b)

Exponents

c)

Multiply / Divide

d)

Add / Subtract

13.

Which step should be solved first in the following equation?

$\left[8-\left(12\div3\right)+2\right]\times4$

a)

$13+9$

b)

$12\div3$

c)

$3+2$

d)

$2\times4$

14.

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

a)

-16

b)

1.375

c)

4

d)

-50

15.

Solve the following:
-8 + (15-3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

16.

75 ÷ 5 × 9 – 9

a)

126

b)

226

c)

711

d)

300

17.

2 + (9²- 4)

a)

16

b)

77

c)

79

18.

Solve:

\ 2+3\times6\div3

a)

10

b)

6.6

c)

8

19.

Solve: $5-2\left(2^3-5\right)$

a)

-1

b)

3

c)

-9

d)

9

20.

14 + (22 - 2) =

a)

34

b)

37

c)

40

21.

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

22.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

23.

2 + (9²- 4)

a)

16

b)

77

c)

79

24.

Write with an exponent:
$3\cdot3\cdot3\cdot3\cdot3$

a)

$3^5$

b)

$5^3$

25.

Evaluate the expression.

a)

15

b)

11

c)

-15

d)

-11

26.

4 $-$ 3 $+$ 2 + 5 $\cdot$ 3

a)

40

b)

17

c)

24

d)

18

27.

$6\times5$ $-$ 4 + 2 ÷ 2

a)

60

b)

24

c)

27

d)

12

28.

$5^2-10\div2\times4$

a)

4

b)

5

c)

80

d)

160

29.

$8^2-7^2$

a)

5

b)

2

c)

15

d)

1

30.

$32+42-4\times2$

a)

The correct answer is not given.

b)

69

c)

64

d)

66

31.

6³– 10 ÷ 5

a)

1.6

b)

200

c)

41.2

d)

214

32.

18 ÷ 2 $\cdot$ 3 – 17

a)

206

b)

100

c)

10

d)

5

33.

What is the first operation used in solving this problem:

2 ⋅ (3 + 8 ÷ 4)²

a)

multiplication

b)

addition

c)

division

d)

subtraction

34.

Which operation would you do first?

(12 + 10) ÷ 10 · 14 - 6

a)

Division

b)

Multiplication

c)

Addition (parentheses)

d)

Subtraction

35.

190 - 52 $\cdot$ 3

a)

34

b)

114

c)

144

36.

$50-16\div2\times\left(12+4\right)$ What is the 3rd step when solving this expression?

a)

parentheses

b)

division

c)

multiplication

d)

subtraction

37.

2(1.5 + 2.5)

a)

8

b)

5.5

c)

6

38.

$15\div3\times2+9\div3$

a)

5.5

b)

13

c)

3

39.

Simplify the expression by combining like terms or using distributive property.

9(-5+2x)

4 lines

40.

Simplify the expression by combining like terms or using distributive property.

4(-4+2x)

4 lines

41.

Simplify the expression by combining like terms or using distributive property.

14+9z+7z

4 lines

42.

Simplify the expression by combining like terms or using distributive property.

4+5x-7x+9

4 lines

43.

Which of the terms could be combined in the following expression:

3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

44.

Distribute:

-2(x + 7)

a)

-2x - 14

b)

-2x + 14

c)

-2x + 7

d)

-2x - 7

45.

Distribute and then Combine Like Terms:

2(5x + 6) + 7

a)

10x + 12

b)

10x + 7

c)

10x + 19

d)

5x + 19

46.

Distribute and then Combine Like Terms:

-3(4x + 2) + 5x

a)

-12x - 6

b)

-7x - 6

c)

-12x + 6

d)

-7x + 2

47.

Which of the following is equivalent to 8(5f - 7) + 3f ?

a)

43f - 7

b)

37f - 56

c)

43f - 56

d)

40f - 56 + 3f

48.

Simplify the following expression:

2x + 7(x - 5) - 4

a)

9x + 20

b)

9x + 31

c)

9x - 31

d)

9x - 39

49.

3x - 9x + 2x²

Which of these are like terms in the expression above?

(a) and (b)

(use the same order as they appear in the expression)

Choose from the below words

3x

-9x

9x

2x

-3x

2x^2

50.

Simplify the expression.

a)

7x²+3x+5

b)

9x²+4x+5

c)

4x +9x²+5

d)

9x²+3x+5

51.

52.

53.

54.

Challenge!

Total questions: 54

Worksheet time: 5hrs 31mins

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