Free Printable Topic 3 Review

1.

Which number is the Base? $2^4$

a)

2

b)

4

c)

They both are the base.

d)

None of them is the base.

2.

Which number is the exponent? $6^3$

a)

6

b)

3

c)

They both are the exponent

d)

None of them are the exponent

3.

What is $10^{7\ }$ equal to?

a)

10,000,000

b)

100,000,000

c)

100,000

d)

$10^{4\ }+\ 10$

4.

What is 5 to the first power?

a)

1

b)

5

c)

0

d)

10

5.

What is 3 to the power of 0?

a)

0

b)

3

c)

1

d)

30

6.

Evaluate.

a)

81

b)

18

c)

92

d)

9

7.

What is the greatest common factor of 60 and 75

a)

2

b)

5

c)

15

d)

25

8.

A prime number has how many factors?

a)

3 or more

b)

2 or more

c)

Exactly 2

d)

maybe more than 5

9.

A composite number has

a)

two or more factors

b)

one factor

c)

exactly 2 factors

d)

As many as you want

10.

What is the Least Common Multiple for 10 and 25?

a)

30

b)

40

c)

50

d)

100

11.

What is the LCM of 15 and 25

a)

5

b)

375

c)

15

d)

75

12.

18 + (6 – 2) × 2 =

a)

26

b)

29

c)

44

d)

40

13.

10 + 45 ÷ 9 -(14 ÷ 2) =

a)

9

b)

8

c)

53

d)

18

14.

3²+4²-(4x2)

a)

14

b)

9

c)

9

d)

17

15.

$15\div3\times2+9\div3$

a)

5.5

b)

13

c)

3

16.

What operation comes first?
7-(2+3)÷5?

a)

Subtraction

b)

Addition

c)

Division

d)

Multiplication

17.

What operation comes first and WHY?
(8x7-6)÷30

a)

Multiplication, because it is inside the parenthesis

b)

Multiplication, because you read left to right

c)

Division, because it comes first alphabetically

d)

Subtraction, because it's easy and gives the answer 1

18.

Which operation should you perform first in the expression

\left(2+5\right)\ -\ 4^2

a)

addition

b)

multiplication

c)

parenthesis

d)

subtraction

19.

Which operation should you perform first in the expression

8^2\div\left(8-4\right)^2

a)

exponent

b)

parenthesis

c)

division

d)

subtraction

20.

[ (10-6) + (18-6)²]

a)

48

b)

124

c)

148

d)

186

21.

[ (18+5) + (14-2)²]

a)

176

b)

167

c)

67

d)

76

22.

[ (6+4)² x 3] - 3²

a)

309

b)

391

c)

2700

d)

291

23.

16 + [ 3 x (9-6)²]

a)

43

b)

52

c)

33

d)

93

24.

John and Katie go to the snack machine. They each get a soda for $1 and a candy for $2. How much money do they spend altogether? Which numerical expression represents the problem.

a)

1 x 2 + 2

b)

(1+2) x 2

c)

(1x2) + 2

d)

(1+2) + 2

25.

Dante' had 25 pieces of gum. He chewed 7 pieces of gum. Then he bought 12 more pieces of gum. How much gum does he have now? Which numerical expression represents the problem?

a)

(25 x 7) + 12

b)

(25 - 7) + 12

c)

(25 + 7) + 12

d)

25 + 7 - 12

26.

Select the expression that matches the words.
Amy had 23 blocks. She gave 7 blocks to Isabella and 5 blocks to Alexa.

a)

A

b)

B

c)

C

d)

D

27.

Select the expression that matches the words.
For three months, Olivia earned $80 each month and spent $30 each month.

a)

A

b)

B

c)

C

d)

D

28.

LaToya scored 10 points in the first game. She scored 8 points in the second game. If she doubles her points during the last game, how many points will she have scored? Which numerical expression represents the problem?

a)

(10 + 8) x 2

b)

10 + 8 + 2

c)

(10 x 2) + 8

d)

(10 x 2) - 8

29.

Samantha bought three shirts for $15 each. She then bought a pair of sunglasses for $25. How much did she spend altogether? Which numerical expression represents the problem?

a)

3 + 15 + 25

b)

(3 x 15) - 25

c)

15 + 15 + 25

d)

(3 x 15) + 25

30.

Dante' had 25 pieces of gum. He chewed 7 pieces of gum. Then he bought 12 more pieces of gum. How much gum does he have now? Which numerical expression represents the problem?

a)

(25 x 7) + 12

b)

(25 - 7) + 12

c)

(25 + 7) + 12

d)

25 + 7 - 12

31.

John and Katie go to the snack machine. They each get a soda for $1 and a candy for $2. How much money do they spend altogether? Which numerical expression represents the problem.

a)

1 x 2 + 2

b)

(1+2) x 2

c)

(1x2) + 2

d)

(1+2) + 2

32.

The product of 3/4 and q

a)

q + 3/4

b)

$\frac{4}{3}q$

c)

$\frac{3}{4}q$

d)

$q^{\frac{3}{4}}$

33.

Choose the algebraic expression that matches the verbal phrase.

a)

b)

c)

d)

34.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

35.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

36.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

37.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

38.

8y + 12 - 2z
for y = 4 and z = 2

a)

40

b)

20

c)

84

d)

34

39.

Evaluate when x = 2 and y = 5:
2 + (12 - 5x) ⋅ 2y

a)

22

b)

40

c)

142

d)

-86

40.

a²- b²Evaluate if a=4 and b =2

a)

4

b)

20

c)

-4

d)

12

41.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

42.

8y + 12 - 2z
for y = 4 and z = 2

a)

40

b)

20

c)

84

d)

34

43.

solve using distributive property5 ( 2w + 5 )=

a)

7w +10

b)

10w +5

c)

10w + 10

d)

10w + 25

44.

( 4 - 3W)2=

a)

8-6W

b)

8 +6W

c)

2-1W

d)

2+5W

45.

Solve: 6 ( 4R -2W)=

a)

10R-4W

b)

10R+8W

c)

24R-12W

d)

12RW

46.

Name the terms: 3x + 4 - 4x + 3z

a)

3x, 4, -4x, 3z

b)

4

c)

3x, -4x

d)

3z

47.

name the like terms: 3x +2z + 10x -4y

a)

3x, 10x

b)

3x, 2z, 10x, -4y

c)

2z, -4y

d)

there is no like terms

48.

What is the coefficient in this expression: 10W-5z-4

a)

10, -5, -4

b)

10

c)

10, -5

d)

10, 5, -4

49.

simplify the expression: 4R-2R +3W-9

a)

6R+3W-9

b)

2R-3W

c)

6R-9

d)

2R +3W-9

50.

1/2 ( 4x + 8)

a)

2x +4

b)

1/8x + 1/16

c)

2x + 1/16

d)

2/4x +4

51.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

52.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

53.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

54.

2(4x - 7)

a)

8x + -14

b)

8x-7

c)

6x+7

d)

8x+14

55.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

56.

Simplify 5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 + -35n

d)

10 + 35n

57.

3(x + 5)

a)

2x + 2

b)

4x + 8

c)

3x + 15

d)

3x + 5

58.

Simplify the expression completely.

3z+9+5z-4

a)

$8z+5$

b)

$8z+13$

c)

$13z$

d)

$21z$

59.

Simplify the expression completely.

5\left(n+3\right)+4n

a)

$9n+15$

b)

$9n+3$

c)

$24n$

d)

$25n+15$

60.

Factor the expression using the GCF.

36x-28

a)

$8x$

b)

$4$

c)

$4\left(9x+7\right)$

d)

$4\left(9x-7\right)$

61.

Factor the expression using the GCF.

16x+56y

a)

$72xy$

b)

$8$

c)

$8\left(2x+7y\right)$

d)

$2\left(8x+28y\right)$

62.

Which expressions are equivalent to

16x+24

?

Mark ALL that apply.

a)

$2\left(8x+12\right)$

b)

$4\left(4x+6\right)$

c)

$6\left(3x+4\right)$

d)

$\left(2x+3\right)8$

63.

Factor the following expression: 2x + 144

a)

8(16x+1152)

b)

2(2x+144)

c)

2(x+72)

d)

2(x+144)

64.

35y+21

a)

3(5y + 21)

b)

3(5y+7)

c)

7(5y+3)

65.

Which expression is equivalent to

5(3x - 4) ?

a)

8x - 4

b)

15x + 20

c)

15x - 4

d)

15x - 20

66.

2(3h + 5) + 2

is equivalent to which of the following?

a)

6h + 14

b)

6h - 14

c)

6h - 12

d)

6h + 12

67.

7y + 8n - 3y - 6 + 9

is equivalent to which of the following?

a)

10y + 8n - 3

b)

4y + 8n + 3

c)

4y + 8n - 3

d)

10y + 8n + 15

68.

Simplify: $7y^2\ -5y\ +\ 9y\ -\ 5y^2$

a)

$6y^{2\ }$

b)

$2y^{2\ }+\ 4y\$

c)

$12y^{2\ }+\ 14y$

d)

Can't be simplified

69.

Simplify: 8q + 3q - 6t + 2q - 4q

a)

3qt

b)

11q - 6t - 2q

c)

9q -6t

d)

Can't be simplified

70.

A coefficient is __________.

a)

the variable

b)

a constant

c)

an exponent

d)

the number that comes before the variable

71.

Simplify:

2x² + 10x + 5x² + 25x

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 6xy + y

72.

Simplify

2m\ +\ 4m

a)

6m

b)

6

c)

24m

d)

8m

73.

$x+x+x+x$

a)

4x

b)

4 + x

c)

3x

d)

x - 4

Topic 3 Review

Total questions: 73

Worksheet time: 5hrs 7mins

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