Free Printable Ch.3 Review

1.

Is 5 prime or composite?

a)

Prime

b)

Composite

2.

A prime number

a)

has one factor

b)

has more than 2 factors

c)

has 100 factors

d)

has exactly 2 factors: 1 and the number

3.

All of these are prime except

a)

3

b)

9

c)

2

d)

13

4.

2 x 2 x 2 is the prime factorization of

a)

6

b)

12

c)

22

d)

8

5.

Which is the prime factorization of 12?

a)

2 x 6

b)

2 + 2 + 2 + 2 + 2 + 2

c)

2 x 2 x 3

d)

1 x 2 x 2 x 3

6.

What is the prime factorization of 50?

a)

1, 2, 5, 10, 25, 50

b)

1 x 50

c)

2 x 25

d)

2 x 5 x 5

7.

What is the prime factorization of 24?

a)

2 x 12

b)

2 x 2 x 2 x 3

c)

4 x 6

d)

1, 2, 3, 4, 6, 8, 12, 24

8.

What is the prime factorization of 18?

a)

2 x 9

b)

2 x 3 x 3

c)

1, 2, 3, 6, 9, 18

d)

2 x 2 x 3

9.

2³ x 5 is the same as

a)

2 x 3 x 5

b)

30

c)

2 x 2 x 2 x 5

d)

6 x 5

10.

5² x 7 is the same as

a)

5 x 5 x 7

b)

10 x 7

c)

5 x 2 x 7

d)

70

11.

What is the prime factorization of 31?

a)

2 x 13

b)

2 x 15

c)

It's Prime

d)

1 x 31

12.

What is the prime factorization of 45?

a)

3² x 5

b)

5 x 5 x 5

c)

9 x 5

d)

3 x 5

13.

Find the prime factorization for 80

a)

4²⋅ 5

b)

2⁴⋅ 5

c)

2 ⋅ 2 ⋅ 2

d)

8 ⋅ 5 ⋅ 2

14.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

15.

If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?

a)

2⋅3⋅5⋅7

b)

2³⋅3²⋅5⋅7

c)

2²⋅3²⋅5⋅7

d)

8⋅9⋅35

16.

Find the equivalent expression.

9 x 9 x 9 x 9 x 9

a)

9⁵

b)

9¹⁵

c)

9 x 5

d)

9 + 9 + 9 + 9+ 9

17.

2⁵ is the same as 2 x 5.

a)

True

b)

False

18.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

19.

Choose the answer.
5²

a)

10

b)

15

c)

20

d)

25

20.

True or False...
40,500 is divisible by 6

a)

True

b)

False

21.

All of these numbers are divisible by 5 except for...

a)

75,395

b)

984,940

c)

222,222,235

d)

8,943,892

22.

The divisibility rule for 9 is...

a)

Divide the whole thing by nine

b)

Add the digits together. If the sum is divisible by 9, the original number is divisible by 9

c)

Multiply the digits together by 9

d)

Add the digits together and then add 9.

23.

The number 70,110 is divisible by...

a)

2, 3, 4, 5, 6, 9, 10

b)

2, 3, 4, 5, 6, 8, 9, 10

c)

2, 3, 5, 6, 9, 10

d)

2, 3, 5, 9, 10

24.

Is 525 divisible by 5?

a)

Yes

b)

No

25.

Prime numbers have:

a)

Exactly 2 factors

b)

2 pairs of factors

c)

More than 2 factors

d)

1 factor

26.

Composite numbers:

a)

Are always bigger than prime numbers

b)

Have more than 2 factors

c)

Have 2 pairs of factors

d)

Don't have factors

27.

What is the divisibility rule for 4?

a)

The sum of the digits must be a multiple of 4

b)

The last two digits must form a number that is a multiple of 4

c)

The number must be divisible by 2 and 3.

d)

The number must end in 0, 2, or 4

28.

What is the divisibility rule for 5?

a)

It is divisible by 2 and 3

b)

The last digit is a five

c)

The last digit is five or zero

d)

The last digit is zero

29.

What is the divisibility rule of 3?

a)

The sum of the digits is a number divisible by 3

b)

The last digit is a 3

c)

The last two digits form a number divisible by 3

d)

The last digit is zero

30.

What is the divisibility rule for 10?

a)

It is divisible by 2 and 3

b)

The last digit is a five

c)

The last digit is five or zero

d)

The last digit is zero

31.

What is the divisibility rule for 6?

a)

It is divisible by 2 and 3

b)

It is divisible by 3 and 4

c)

It is divisible by 2 and 4

d)

The last digit is zero

32.

What is the divisibility rule of 2?

a)

The sum of the digits equals a number divisible by 2

b)

The last digit is 0

c)

The last two digits form a number that is divisible by 2

d)

The last digit is even

33.

What is the divisibility rule for 8

a)

if the sum of the last three digits add up to a number divisible by 8

b)

if the difference of the last three digits leave a number divisible by 8

c)

if the last three digits form a number divisible by 8

d)

If the number is also divisible by 2

34.

Is 58212 Divisible by 3?

a)

Yes

b)

No

35.

Is 13,211 divisible by 10?

a)

Yes

b)

No

36.

Is 221 divisible by 4?

a)

Yes

b)

No

37.

Is 137,265 divisible by 5?

a)

No

b)

Yes

38.

Is 3,522 divisible by 6?

a)

Yes

b)

No

c)

Not here

39.

If a number passes the test for 2 and 3 it is divisble by 6.

a)

True

b)

False

40.

Which number is divisible by 9?

a)

648

b)

289

c)

856

d)

443

41.

Select the numbers below (by checking the boxes) that 1384 is divisible by.

a)

2

b)

3

c)

5

d)

9

e)

10

42.

Select the numbers below (by checking the boxes) that 1040 is divisible by.

a)

2

b)

3

c)

5

d)

9

e)

10

43.

Select the numbers below (by checking the boxes) that 7452 is divisible by.

a)

2

b)

3

c)

5

d)

9

e)

10

44.

Select the numbers below (by checking the boxes) that 26427 is divisible by.

a)

2

b)

3

c)

5

d)

9

e)

10

45.

In the expression 2⁵, what is the BASE?

a)

2

b)

5

46.

In the expression 2⁵, what is the EXPONENT?

a)

5

b)

2

47.

Write in exponential form: 3 x 3 x 3 x 3

a)

3 x 4

b)

3⁴

c)

81

d)

3²

48.

Select ALL of the following that are equivalent to 5×5×5

a)

five cubed

b)

five squared

c)

5³

d)

3⁵

e)

125

49.

Evaluate 12 to the second power

a)

12

b)

24

c)

144

d)

122

50.

Using a Factor Tree, find the prime factorization of 75 in exponential form.

a)

3 × 5²

b)

3²× 5

c)

5 × 15

d)

3²× 5²

51.

Using a Factor Tree, find the prime factorization of 54 in exponential form.

a)

3² x 6

b)

2 × 3³

c)

2³ x 3

d)

6 × 9

52.

Using a Factor Tree, find the prime factorization of 100 in exponential form.

a)

10 × 10

b)

5⁴

c)

4 x 25

d)

2²× 5²

53.

Using a Factor Tree, find the prime factorization of 24 in exponential form.

a)

2³ x 3

b)

2² x 3 x 4

c)

2²× 3²

d)

2 × 12

54.

Using a Factor Tree, find the prime factorization of 150 in exponential form.

a)

2³× 3 × 5

b)

15¹⁰

c)

2 × 3 × 5²

d)

3 × 5³

55.

Using a Factor Tree, find the prime factorization of 180 in exponential form.

a)

2× 3 × 5 × 6

b)

2 × 3²× 5²

c)

2²× 3²× 5

d)

10 x 18

56.

Which is the CORRECT prime factorization of 18?

a)

2 x 9

b)

3 x 6

c)

2 x 3²

d)

2⁹

57.

GCF of 4 and 6

a)

2

b)

3

c)

4

d)

6

58.

GCF of 10 and 12

a)

5

b)

2

c)

3

d)

6

59.

GCF of 12 and 18

a)

3

b)

4

c)

6

d)

2

60.

GCF 24 and 36

a)

8

b)

6

c)

12

d)

4

61.

GCF of 32 and 40

a)

2

b)

4

c)

6

d)

8

62.

GCF of 16 and 18

a)

4

b)

2

c)

6

d)

8

63.

What is the GCF of 20, 44, and 88?

a)

4

b)

2

c)

22

d)

1

64.

What is the GCF of 72, 96, and 84?

a)

2

b)

7

c)

12

d)

4

65.

What is the LCM of 3 and 6?

a)

3

b)

6

c)

12

d)

15

66.

What is the LCM of 4 and 12?

a)

4

b)

8

c)

12

d)

16

67.

What is the LCM of 6 and 24?

a)

3

b)

6

c)

12

d)

24

68.

Ap- What is the LCM of 2, 4, 6?

a)

6

b)

12

c)

4

d)

2

69.

What is the LCM?

a)

The LCM is the least common factor that both numbers share the least.

b)

The LCM is a multiple that both numbers share the most.

c)

The LCM is a multiple that both numbers share the least.

d)

The LCM is a factor that both numbers share the least.

70.

What is the LCM of 3,6,9

a)

12

b)

9

c)

36

d)

18

71.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

72.

4(-p - 6)

a)

4p - 24

b)

4p + 24

c)

-4p + 24

d)

-4p - 24

73.

(b + 8)5

a)

b + 40

b)

5b - 40

c)

5b + 40

d)

5b + 8

74.

(x - 6)4

a)

24 - 4x

b)

4x - 6

c)

x - 24

d)

4x - 24

75.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

76.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

77.

Which of the following is equivalent to
9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

78.

Simplify:
7(y - 3)

a)

7y - 21

b)

7y - 3

c)

7y + 3

d)

7y + 21

79.

e(f + g) is equivalent to:

a)

ef + g

b)

f + g

c)

f + eg

d)

ef + eg

80.

3(4+3r)

a)

12+9r

b)

7+6r

c)

12+5r

81.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

82.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

83.

x + 2x

a)

2x²

b)

3x

c)

Can't be simplified

d)

3x + x

84.

How many terms are in the expression below:
3x - 6 + 4b + 5 + 7 - 2x

a)

five

b)

eight

c)

six

d)

nine

85.

4x + 3 + 7x

a)

14x

b)

11x + 3

c)

28x + 3

d)

11x - 3

86.

3 + 5x + 4

a)

5x ∙ 7

b)

12x

c)

35x

d)

5x + 7

87.

Name the underlined part of this expression. 3w + 5t -15

a)

coefficient

b)

constant

c)

variable

d)

term

88.

Name the underlined part of the expression. 21 + g - 5h

a)

term

b)

variable

c)

constant

d)

coefficient

89.

Name the underlined part of the expression. 13r - 29

a)

constant

b)

term

c)

coefficient

d)

variable

90.

What is the definition of a coefficient?

a)

The letter used to represent a quantity

b)

The little number or letter used to raise to a power

c)

The number in front of a variable

d)

The number in back of a variable

91.

What is the definition of a constant?

a)

The letter used to represent a quantity

b)

The number with no variable

c)

The number in front of a variable

d)

The little number or letter used to raise to a power

92.

8x + 72

a)

8 (x + 72)

b)

9 (x +8)

c)

8 (x + 9)

d)

8 (x + 7)

93.

4r + 32

a)

8(r + 8)

b)

4(r + 4)

c)

4(r + 8)

d)

8(r + 4)

94.

12b + 60

a)

6(2b + 10)

b)

12(b + 5)

c)

12(b + 10)

d)

6(b + 10)

95.

7v + 42

a)

7(v +42)

b)

v(7 +42)

c)

7(v + 6)

d)

6(v + 7)

96.

Write the following in factored form:

14y + 35x

a)

1(14x + 35y)

b)

7(2x + 5y)

c)

7(2y + 5x)

d)

1(14y + 35x)

97.

Factor the expression
12x - 36

a)

6x - 6

b)

6(x - 6)

c)

12(x + 3)

d)

12(x - 3)

Ch.3 Review

Total questions: 97

Worksheet time: 3hrs 1mins

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