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Worksheets

DEC 8 - DAY 3

Total questions: 97

Worksheet time: 49mins

Name
Class
Date
1.

What is the distributive property?

a)

For any numbers a, b, c,

a(b + c) = ab + ac

b)

or any numbers a, b, and c,

a(b + c) = a + (b + c)

c)

For any numbers a, b, c,

abc = a + b + c

d)

For any number a, b, and c,

a(b + c ) = a(c + b)

2.

How can 4(3 +9) be expressed using the distributive property?

a)

4(3) + 4(4 + 9)

b)

4(3) + 4(9)

c)

4 + 9 = 9 + 4

d)

(4 + 3) x (4 + 9)

3.

How can you express 11 x 7 using the distributive property?

a)

7 x 11

b)

(11 x 1) + (3 x 4)

c)

11 x (3 x 4)

d)

11(3) + 11(4)

4.

How can 5(3 +2) be expressed using the distributive property?

a)

5(3) x 5(2)

b)

(5 x 3) x (5 x 2)

c)

5(3) + 5(2)

d)

(5 + 3) x (5+2)

5.

5(3 + 2)= ?

a)

20

b)

25

c)

30

d)

75

6.

According to the correct order of operation, what should be done first in any mathematical equation?

a)

Addition

b)

Division

c)

Multiplication

d)

Whatever's inside the parentheses

7.

7(5 + 4) =

a)

(7 x 5) + (7 x 4)

b)

35 + 28

c)

63

d)

All of the above

8.

If m = 9, what is 4m + 2m?

a)

54

b)

24

c)

78

d)

18

9.

If a = 8, b = 4, and c = 10, what is a(b + c)?

a)

22

b)

112

c)

320

d)

2560

10.

Which property is this example?

5 x 6 = 6 x 5

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

11.

Which property is this example?

3 (5+y) = 15 + 3y

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

12.

Which property is this example?

100 + 0 = 100

a)

Commutative property of addition

b)

Associative Property of addition

c)

Distributive property of multiplication

d)

Identity property of addition

13.

Which property is this example?

7(8x9) = 9(8x7)

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

14.

Which property is this example?

10+4 = 4+10

a)

Commutative property of addition

b)

Associative Property of addition

c)

Distributive property of multiplication

d)

Identity property of addition

15.

Which property is this example?

(1+2)+3=1+(2+3)

a)

Commutative property of addition

b)

Associative Property of addition

c)

Distributive property of multiplicationIdentity property of addition

d)

Identity property of addition

16.

Which property is this example?

12 x 1 = 12

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

17.

Which property is this example?

6(5-4)=6(5) - 6(4)

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

18.

Which property is this example?

56 x 1 = 56

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

19.

Which property is this example?

7(k-3) = 7k-21

a)

Commutative property of addition

b)

Associative Property of addition

c)

Distributive property of multiplication

d)

Identity property of addition

20.

[(0.3 x 8) + (1.5 x 3)] + 62

a)

105

b)

42.9

c)

66.2

d)

30.4

21.

Evaluate the expression for the given value of the variable:

m + 2 for m =5

a)

7

b)

3

c)

15

d)

45

22.

Evaluate the expression for the given value of the variable:

12 −2b. for b=4


a)

4

b)

8

c)

10

d)

6

23.

Evaluate the expression for the given value of the variable:

  k2 + 5k^2\ +\ 5   for k = 3
   

a)

11

b)

6

c)

14

24.

 (r + 1)2\left(r\ +\ 1\right)^2   For r = 6

Evaluate the expression for the given value of the variable:

   

a)

49

b)

54

c)

72

d)

63

25.

Use substitution to evaluate when w = 3

6(w) + 9

a)

27

b)

18

c)

8

d)

11

26.

Write 42,400,000 in Scientific Notation

a)

4.24 x 102

b)

42.4 x 105

c)

4.24 x 107

d)

4.24 x 10

27.

 Write 4.38 x 108 in statandard formWrite\ 4.38\ x\ 10^8\ in\ sta\tan dard\ form  

a)

438,000,000

b)

43,800,000

c)

438,000

d)

43,800

28.

Write 810,000,000 in Scientific Notation

a)

8.10 x 106

b)

8.10 x 108

c)

81.0 x 104

d)

810 x 103

29.

Write 2.915 x 10-6 in Standard Form

a)

.000002915

b)

.002915

c)

.0002195

d)

21.95

30.

Write 4.38 x 108 in Standard Form

a)

438,000,000

b)

43,800,000

c)

4,380,000

d)

438,000

31.

Write 2.4 x 10-3 in Standard Form

a)

0.24

b)

0.0024

c)

2400

d)

0.024

32.

An equation has an equal sign

a)

False

b)

True

33.

Which of the following has an equal sign

a)

Expression

b)

Equation

34.

How do we solve f - 12 = 4

a)

add -12 to both sides

b)

subtract 12 from both sides

c)

add 12 to both sides

d)

add 4 to both sides

35.

How do we solve 2k = 100?

a)

Add 2 to both sides

b)

Multiply by 2 on both sides

c)

Divide by 2 on both sides

d)

Subtract 2 to both sides

36.

 x3 = 6 ?\frac{x}{3}\ =\ 6\ ?  

How do we solve

a)

Multiply 3 on both sides

b)

Divide by 3 on both sides

c)

Add 3 to both sides

d)

Subtract 3 to both sides

37.

  w2.2 = 4\frac{w}{2.2}\ =\ 4  

a)

4.4

b)

44

c)

8.8

d)

88

38.

2k = 100

a)

200

b)

400

c)

50

d)

25

39.

b - 10 = 8.7

a)

18.7

b)

1.3

c)

2.3

d)

19.7

40.

3c = 54

a)

162

b)

17

c)

18

d)

57

41.

16p = 48

a)

4

b)

64

c)

48

d)

3

42.

 32\frac{3}{2}   Write the fraction as a Mixed Number

a)

1 1/2

b)

1 1/4

c)

2 1/3

d)

1 1/5

43.

 3236\frac{32}{36}  

Which of this is the simplest form ?

​ 

a)

 89\frac{8}{9}  

b)

 78\frac{7}{8}  

c)

 98\frac{9}{8}  

d)

 18\frac{1}{8}  

44.

 6416\frac{64}{16}  

Which of this is the simplest form  

​ 

a)

2

b)

6

c)

8

d)

4

45.

Write this fraction as a decimal.

79/100

a)

0.0790

b)

.797

c)

.90

d)

.79

46.

Write this fraction as a decimal.

3/10

a)

.03

b)

.003

c)

.3

d)

3

47.

Make this a decimal

4 3/5

a)

4.8

b)

4.6

c)

4.35

d)

43.5

48.

Write 9/5 as a mixed number.

a)

1 4/5

b)

1 4/9

c)

5 1/4

d)

4 1/5

49.

Write 10/3 as a mixed number.

a)

1 1/3

b)

1 1/2

c)

3 1/3

d)

1 1/6

50.

Write 20/5 as a fraction

a)

5

b)

1/4

c)

4/1

d)

1/2

51.

Write

4 1/4

as an improper fraction

a)

17/2

b)

17/4

c)

16/4

d)

16

52.

Write 3/4 as a decimal

a)

0.5

b)

0.35

c)

0.75

d)

0.78

53.

Write 1/8 as a decimal

a)

0.225

b)

0.185

c)

0.125

d)

0.12

54.

Write 1 3/4 as a decimal

a)

1.25

b)

1.5

c)

1.275

d)

1.75

55.

Write 2.6 as a Mixed Number

a)

2 6/8

b)

2 3/5

c)

2.2/7

d)

2 3/7

56.

Write 0.2 as a fraction

a)

2/5

b)

1/5

c)

3/5

d)

3/7

57.

Write 1 3/4 as an improper fraction

a)

8/4

b)

2

c)

7/4

d)

5/4

58.

Write 12 1/4 as a decimal

a)

12.5

b)

12.2

c)

12.75

d)

12.25

59.

In a set of cards, 1/12 has the number 1 and 7/12 have the number 3. What fraction of the cards have a 1 or 3?

a)

1/12

b)

7/12

c)

8/12

d)

8/24

60.

Gordon used 1 3/4 cups of flour and then used an additional 1 3/4 cups of flour again. How much flour did he use altogether?

a)

2 3/4 cups

b)

3/2 cups

c)

2 3/2 cups

d)

3 1/2 cups

61.

A prime number has

a)

one factor.

b)

two factors. 1 and itself

c)

three or more factors.

62.

Which of the following is a prime number?

a)

3

b)

6

c)

9

d)

12

63.

Which number is the only even prime number?

a)

2

b)

4

c)

6

d)

8

64.

Which number is NOT prime?

a)

1

b)

3

c)

2

d)

5

65.

Composite numbers have

a)

No factors

b)

one factor

c)

two factors

d)

three or more factors

66.

Which of the following numbers is prime?

a)

10

b)

5

c)

15

d)

20

67.

Which of the following is composite Number?

a)

2

b)

4

c)

5

d)

7

68.

Is 1 a prime number or composite number

a)

prime number

b)

composite number

c)

neither prime nor composite

69.

Find the prime factorization of 18

a)

2 • 9

b)

22 • 3

c)

2 • 32

d)

3 • 6

70.

Find the prime factorization of 30

a)

22 • 5 • 7

b)

2 • 32

c)

2 • 3 • 7

d)

2 • 3 • 5

71.

Find the prime Factorization of 105

a)

23 * 32

b)

3 • 5 • 7

c)

25 • 3

d)

2 • 3 • 7 • 11

72.

Find the prime factorization of 420

a)

22 • 3 • 5 • 7

b)

77

c)

22 • 3 • 11

d)

23 • 3 • 7

73.

What is the greatest common factor of 36 and 40?

Show Prime Factorizations "T" Chart, then get the GCF from both factorizations.

a)

2

b)

4

c)

9

d)

8

74.

What is the greatest common factor of 60 and 75?

Show Prime Factorizations "T" Chart, then get the GCF from both factorizations.

a)

2

b)

5

c)

15

d)

25

75.

What is the greatest common factor of 36 and 54?

Show Prime Factorizations "T" Chart, then get the GCF from both factorizations.

a)

2

b)

6

c)

9

d)

18

76.

What is the greatest common factor of 60 and 84?

Show Prime Factorizations "T" Chart, then get the GCF from both factorizations.

a)

2

b)

12

c)

6

d)

24

77.

What number has the prime factorization of 23 • 11?

a)

55

b)

66

c)

88

d)

99

78.

What number has the prime factorization of 23 • 32 • 5?

a)

360

b)

720

c)

180

d)

240

79.

What is the LCM of 5 and 17?

a)

85

b)

5

c)

3

d)

75

80.

What is the LCM of 2 and 14?

a)

28

b)

7

c)

14

d)

2

81.

What is the LCM of 15 and 30?

a)

5

b)

3

c)

30

d)

15

82.

What is the LCM of 3 and 19?

a)

9

b)

6

c)

3

d)

57

83.

What is 1/3 + 2/3 ?

a)

3/6

b)

1/2

c)

1

d)

3

84.

Is 1 + 9/13 = 1 9/13 ?

a)

True

b)

False

85.

2 2/5 + 1/4

a)

2 13/20

b)

2 3/9

c)

2 1/3

d)

3 13/20

86.

5/6 + 2 1/6 is 3?

a)

True

b)

False

87.

1 1/3 + 1 1/2 = 2 1/5

a)

true

b)

false

88.

4 3/2 - 1 2/6=

a)

7 3/15

b)

6 5/12

c)

4 6/15

d)

4 1/6

89.

6 3/5 - 2 4/8=

a)

6 2/10

b)

4 5/10

c)

7 3/10

d)

4 1/10

90.

16 6/9 - 10 2/5=

a)

8 6/17

b)

6 4/15

c)

7 2/16

d)

5 3/15

91.

8 9/10 - 3 2/3=

a)

3 9/26

b)

6 5/30

c)

8 5/29

d)

5 7/30

92.

1 4/9 - 8/9

a)

5/9

b)

1/9

c)

3/9

d)

2/9

93.

3/4 x 2/5

a)

5 / 9

b)

3 / 10

c)

1 / 4

d)

23 / 20

94.

 6 ÷186\ \div\frac{1}{8}  

a)

48/2

b)

48

c)

6/8

d)

64

95.

  13÷4\frac{1}{3}\div4  

a)

12

b)

1/12

c)

7/12

d)

2/7

96.

What is the first step in solving this problem?

⅘ + ½ =

a)

Add the top parts of the fraction

b)

Find a common denominator.

c)

Make each fraction into an improper faction.

d)

Rewrite the fractions in the simplest form.

97.

What is 2/3 + 5/3 as an improper fraction?

a)

7/3

b)

7/6

c)

1

d)

2 1/3