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Worksheets

Math: Topic 1 Test

Total questions: 110

Worksheet time: 4hrs 40mins

Name
Class
Date
1.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
2.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
3.
Which is equivalent to 4 x 4 x 4 x 4 x 4
a)
46
b)
54
c)
44
d)
45
4.
The exponent equivalent of 20 x 20 x 20 is:
a)
20 x 3
b)
203
c)
320
d)
2000
5.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
6.

What is the standard form to this problem? 626^2  

a)

12

b)

36

c)

4

d)

62

7.

How would you write 343^4  in expanded notation?

a)

3  + 3 + 3 + 3

b)

3 x 3 +3 + 3

c)

three to the fourth power

d)

3 x 3 x 3 x 3

8.
56= ?
a)
56
b)
0
c)
1
d)
65
9.

The base number in 35 is

a)

3

b)

5

10.

The exponent in 42 is

a)

4

b)

2

11.
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
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 x (8 x 9) = (7 x 8) x 9

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 multiplication
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?

56+0 = 5656+0\ =\ 56  

a)

Commutative property of addition

b)

Associative Property of addition

c)

Distributive property of addition

d)

Identity property of addition

18.

Which of the following choices demonstrates the Associative Property of Addition?

a)

a + 0 = a

b)

a + b = b + a

c)

a + (-a) = 0

d)

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

19.

The COMMUTATIVE property changes the ______ of numbers that are added or multiplied without changing the answer.

a)

order

b)

grouping

c)

signs

d)

identity

20.

The ASSOCIATIVE property changes the ______ of numbers that are added or multiplied without changing the answer.

a)

identity

b)

signs

c)

order

d)

grouping

21.
12 - 4 x 2 = 
a)
16
b)
4
c)
8
d)
18
22.
18 + (6 – 2) × 2 =
a)
26
b)
29
c)
44
d)
40
23.

What would be the first step in this equation? 3 + 4 x 6 - 4 =

a)
addition
b)
multiplication
c)
subtraction
d)
exponents
24.
Solve.
25 - 14 + 3 =
a)
14
b)
8
c)
11
d)
10
25.

18+2×4=18+2\times4=  

a)
80
b)
26
c)
24
d)
13
26.

7 x (7 - 4) ÷ 3 =

a)

8

b)

6

c)

7

d)

5

27.

(4 x 8) - (9 + 7) =

a)

16

b)

25

c)

41

d)

32

28.
25 x 2 - 7
a)
125
b)
57
c)
43
29.
24 ÷ 6 + 42
a)
12
b)
2
c)
20
30.

What operation would you perform first:

24 ÷ ( 4 + 2) - 1 × 10

a)

4 + 2

b)

1 × 10

c)

24 ÷ 4

d)

2 − 1

31.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

32.

6(x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

33.

Which of the following is equivalent to: 4(2x + 3)

a)
8x + 12
b)
8x + 3
c)
8x - 12
d)
20x
34.
3(3x +1)
a)
9x +3
b)
3x + 3
c)
12x
d)
9x + 1
35.

Which expression is equivalent to 25 + 30 using the distributive property?

a)

5(5 + 6)

b)

45

c)

6(4 + 5)

d)

2(10 + 15)

36.

Which expression is equivalent to 14k + 35 using the distributive property?

a)

14(k + 35)

b)

7(2k + 5)

c)

14 + 35k

d)

49

37.

Use the distributive property to rewrite the expression: 4(2+3+4)

a)

8 + 12 + 16

b)

40

c)

42 + 43 + 44

d)

8 + 3 + 4

38.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
39.
Fill in the blank:
2(x + 7) = 2x + __
a)
7
b)
14
c)
7x
d)
14x
40.
12(3 + 4) =
a)
36 + 48
b)
15 + 16
c)
123 + 124
d)
0.84
41.

Evaluate the expression.

8 x (3.8 + 13.2) − 6

a)

136

b)

124

c)

88

d)

130

42.

Evaluate the expression.

(4 + 4.85 + 2.4) - 3

a)

9.25

b)

8.25

c)

3.25

d)

6.25

43.

Evaluate the expression.

45 - (3 + 6) x 2

a)

27

b)

72

c)

54

d)

28

44.

(7.8÷2)×12\left(7.8\div2\right)\times12  

a)

46.8

b)

117.6

c)

69.6

d)

15.9

45.

2.5 - 0.4y; y = 2

a)

1.7

b)

9

c)

10.5

d)

1.8

46.

1.2(n + 0.96); n = 0.04

a)

5

b)

12

c)

1.2

d)

1.008

47.

4.3+(8.45.1)4.3+\left(8.4-5.1\right)  

a)

5.8

b)

7.6

c)

6.7

d)

8

48.

  (8.7+x)÷0.5; x=2.3\left(8.7+x\right)\div0.5;\ x=2.3  

a)

22

b)

25.6

c)

20

d)

21.5

49.

   [(3.2+8.1)3.1]+5.8\left[\left(3.2+8.1\right)-3.1\right]+5.8  

a)

8

b)

10

c)

12

d)

14

50.

   5×[(24×3.5)÷y]; y=1.55\times\left[\left(24\times3.5\right)\div y\right];\ y=1.5   

a)

630

b)

280

c)

120

d)

140

51.

22 divided by a number s

a)

22 ÷ s

b)

s ÷ 22

c)

s x 22

d)

22 - s

52.

4 more than the product of x and 12

a)

4 - 12x

b)

12x + 4

c)

x ÷ 12 + 4

d)

12 ÷ x + 4

53.

Identify the coefficient in the expression.

6y + 7

a)

6y

b)

7

c)

6

d)

1

54.

Identify the Variable in the expression 5y+7?

a)

x

b)

5y

c)

y

d)

7

55.

Which expression shows "the sum of 5 and x"?

a)

5 - x

b)

5 + x

c)

5x

d)

5/x

56.

Which expression shows "the difference of x and y"?

a)

x + y

b)

x / y

c)

y - z

d)

x - y

57.

Translate this phrase into an algebraic expression.

The difference of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

58.

Translate this phrase into an algebraic expression. 8 less than the product of 4 and a number

a)
4m + 8
b)
8m - 4
c)
8m + 4
d)
4m - 8
59.

Choose the correct verbal expressions for:

2a + 6

(there may be more than one answer)

a)

6 more than the product of 2 and a number

b)

6 less than the product of 2 and a number

c)

6 more than the quotient of 2 and a number

d)

twice a number plus 6

60.

Translate this phrase into an algebraic expression.

80 more than a number

a)

80B

b)

B - 80

c)

B + 80

d)

B ÷ 80

61.
Identify the coefficient in the expression
4m + n + 2
a)
2
b)
4
c)
m
d)
n
62.
How many terms are in the expression
3x + 2y + z
a)
5
b)
2
c)
4
d)
3
63.
Identify the variables in the expression
3x +  9
a)
x
b)
y
c)
9
d)
3x
64.
How many terms are in the expression
3a + 2b + c + 100
a)
3
b)
4
c)
5
d)
6
65.
A term can be made up of which of the following?
a)
a number
b)
a variable
c)
a coefficient with a variable
d)
all of the above
66.
Identify the constant in the expression
4y + 2 + x
a)
x
b)
y
c)
4y
d)
2
67.
A letter that represents a number is called a _____.
a)
variable
b)
coefficient
c)
constant
d)
term
68.
A number with no variable attached is called a  _____.
a)
coefficient
b)
constant
c)
variable
d)
term
69.
In the expression 4x - 12, what is 4x?
a)
coefficient
b)
constant
c)
term
d)
variable
70.

How many terms are in the following expression?  7y  + 3 - 7k  - 2

a)
2
b)
7
c)
4
d)
3
71.

Evaluate 16 – x; x = 5.

(a)  

72.

Evaluate p3p^3  ; p = 2.

(a)  

73.

Evaluate 3n; n = 11.

(a)  

74.

Evaluate r + 4r\ +\ 4  ; r = 13.

(a)  

75.

Evaluate 4m\frac{4}{m}  ; m = 1.

(a)  

76.

Evaluate c9c-9  ; c = 16.

(a)  

77.

Evaluate b2b^2  ; b = 4.

(a)  

78.

Evaluate xy5;  x=5,y=2xy-5;\ \ x=5,y=2  

(a)  

79.

Evaluate r+s2 ;  r=4 and s=1r+s^2\ ;\ \ r=4\ and\ s=1  

(a)  

80.

Evaluate xy  z;  x = 4, y = 5, and z = 7xy\ -\ z;\ \ x\ =\ 4,\ y\ =\ 5,\ and\ z\ =\ 7   .

(a)  

81.

Simplify the expression:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

82.

Simplify the expression:

17 + 7h - 19 + 14h

a)

21h + 36

b)

21h - 2

c)

7h + 36

d)

7h - 2

83.

Simplify the expression:

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

84.

Simplify the expression:

3x + 2x

a)

5x

b)

x

c)

6x

d)

5

85.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
86.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
87.
Combine like terms
3x + 2x + 11y - 7y
a)
5x + 10y
b)
5x - 4y
c)
5x + 4y
d)
5x -10y
88.

Simplify: 5e + 7e - 10e + 9e

a)

31e

b)

21e - 10e

c)

11e

d)

12e + 9e

89.
y + x + y + y + x 
a)
2 + 3 
b)
x + y 
c)
2x + 3y 
d)
5xy 
90.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
91.

Which of the following is an equivalent expression when distributing:

2(c - 8)

a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
92.

Which of the following is an equivalent expression when distributing:

3(2c - 5)

a)
6c - 15
b)
6c + 15
c)

9c + 15

d)

5c - 15

93.

Which of the following is an equivalent expression when distributing:

5(a + 6)

a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
94.

Select the equivalent expression:

9(2g +  3)

a)
18g + 27
b)
18g - 27
c)
-18g - 27
d)
18g - 18
95.

Which of the following is equivalent to when distributing:

5(b + 8)

a)
b + 40
b)
5b - 40
c)
5b + 40
d)
5b + 8
96.

14c + 35 can be rewritten as

a)

2(7c + 35)

b)

7(2c + 5)

c)

5(2c + 14)

d)

7(14 + 5c)

97.

20y + 24 can be rewritten using the distributive property as

a)

2(10y + 24)

b)

6(4y x 4)

c)

5(4 + 5y)

d)

4(5y + 6)

98.

8(17r + 7) is equivalent to

a)

136r + 56

b)

25r + 15

c)

24r + 8

d)

125r + 56

99.

Use the distributive property to rewrite 10p + 35.

a)

2(10p + 35)

b)

7(3p + 28)

c)

5(2p + 7)

d)

5(5p x 30)

100.

Which expression is equivalent to 27m + 9?

a)

9 x 20m x 7

b)

9(3m + 1)

c)

27(3m x 3)

d)

20(7m + 9)

101.

Which expression is equivalent to: 3x + 5 + 7x + 2?

a)
10x + 7
b)
17x
c)
17
d)
15x + 2
102.

Which expression is equivalent to:

12y - 16

a)

3(4y + 5)

b)

3(4y - 6)

c)

4(4y - 3)

d)

8y - (4 x 4) + 4y

103.

Which expression is equivalent to:  3(1 + 2x) + 7

a)
21 - 6x
b)
24 + 6x
c)
10 + 6x
d)
10 - 6x
104.

Which expression is equivalent to:

4(2x - 5) + 6x

a)

14x - 20

b)

20 - 14x

c)

14x - 5

d)

8x - 20

105.

Which expression is equivalent to:

6y + 22y + y?

a)
28y + 1
b)
29y
c)
22y + 7
d)
29
106.

Which expression is equivalent to: 15x + 10 - 6x - 1?

a)
9x + 9
b)
18x
c)
15x - 3
d)
9x + 11
107.

Which expression is equivalent to:

15x + 19 + 2x - 4

a)

17x + 15

b)

17x + 23

c)

30x + 15

d)

13x + 15

108.

Which expression is equivalent to:

2(3a + 8) - 5

a)

6a + 18 - 5

b)

6a + 11

c)

6a + 3

d)

23a + 3

109.

Which expression is equivalent to: 3(9 + 2d) + 4d 

a)
18d+10d
b)
18d-10d
c)
27+10d
d)
37d
110.

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

a)

43f - 7

b)

37f - 56

c)

43f - 56

d)

45f - 56 + 3f