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Unit 6- Expressions

Total questions: 111

Worksheet time: 4hrs 41mins

Name
Class
Date
1.
What does the ( E )in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
2.
Solve the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
3.
(4x8)-(9+7)
a)
16
b)
25
c)
41
d)
32
4.
4 + 9 + 8 ÷ 4
a)
5.25
b)
5
c)
25
d)
15
5.
2 x 9 ÷ 3
a)
5
b)
7
c)
8
d)
6
6.
5 x 4 + 6
a)
50
b)
34
c)
26
d)
29
7.
(7 x 5) + 5
a)
40
b)
70
c)
17
d)
755
8.
(6 + 2) x (3 + 2)
a)
18
b)
26
c)
16
d)
40
9.
In PEMDAS, what does the M stand for?
a)
Masterful
b)
Mad
c)
Math
d)
Multiplication
10.
2 + (9- 4)
a)
16
b)
77
c)
79
11.
What would be my first step to simplify?
3 + 4 x 6 - 4 
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
12.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
13.
Write 4in expanded form
a)
46
b)
64
c)
4 x 4 x 4
d)
4 x 4 x 4 x 4 x 4 x 4
14.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
15.
Which is GREATER?
27 or 72
a)
27
b)
72
c)
Neither, they are equal
16.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
17.
18 + (6 – 2) × 2
a)
26
b)
29
c)
44
d)
40
18.

4 + 2 x 8

a)

48

b)

20

c)

14

d)

40

19.

5x(6-3)

a)

19

b)

27

c)

15

d)

23

20.

(24-16)÷8

a)

8

b)

1

c)

2

d)

7

21.
The football team gained 8 yards on the first play. Lost 6 yards on the next. Gained 3 yards on the third play and lost 12 yards on their final play. What was their final change in yardage after the four plays?
a)
7
b)
-7
c)
29
d)
-13
22.
Which integer is the opposite of 12?
a)
21
b)
12
c)
-12
23.
Which integer is the opposite of -8?
a)
8
b)
-8
c)
81
24.
16 - 24
a)
8
b)
-8
c)
40
d)
-40
25.
-13 - (-5)
a)
18
b)
-18
c)
8
d)
-8
26.
(-12) + 7
a)
5
b)
-5
c)
19
d)
-19
27.
(-10) + (-7)
a)
-17
b)
17
c)
3
d)
-3
28.
-6 + 12
a)
-18
b)
6
c)
-6
d)
NONE OF THESE
29.

8 - (-3)

a)

-11

b)

5

c)

-5

d)

11

30.

24 - 16

a)

40

b)

-8

c)

8

d)

-40

31.

-16 - (-16)

a)

0

b)

32

c)

-32

d)

none of these options

32.

Adding a Negative is the same thing __________ a Positive.

a)

"adding" which means (5 + -3) is the same as (5 + 3)

b)

"subtracting" which means (5 + -3) is the same as (5 - 3)

c)

"Multiplying by" which means (5 + -3) is the same as ( 5 x 3)

d)

"Dividing by" which means (5 + -3) is the same as (5/3)

33.

Subtracting a Negative is the same thing __________ a Positive.

a)

"adding" which means 5 - (-3) is the same as 5 + 3

b)

"subtracting" which means 5 - (-3) is the same as 5 - 3

c)

"Multiplying by" which means 5 - (-3) is the same as ( 5 x 3)

d)

"Dividing by" which means 5 - (-3) is the same as (5/3)

34.

During the week Jimmy spent $45 eating out, gained $55 mowing lawns and spent $15 on gas. What was Jimmy's change in dollars at the end of the week? HINT: The two amounts of money he spent should be negative amounts and the money he gained is a positive amount. Add two negatives and one positive to get the answer.

a)

$5

b)

- $5

c)

- $15

d)

$15

35.

-6 + 6 =

a)

12

b)

-12

c)

0

d)

36

36.
In this expression what is the variable? 
5 + y 
a)
q
b)
+
c)
5
d)
y
37.
A variable represents what is ______________. 
a)
the answer
b)
the operation
c)
the difference
d)
unknown 
38.
The number or constant in this is expression is ____ ? 
6 + n 
a)
n
b)
+
c)
6
d)
=
39.
Which of the following answer choices is NOT an example of a variable?
a)
8
b)
x
c)
u
d)
n
40.
What are the variables in the following expression?
a)
3, 4, 1 and 7
b)
z, x and y
c)
+ and -
d)
15
41.

A variable is . . .

a)

an awesome number

b)

a number represented by a letter

c)

an infinite number

d)

a number multiplied by another number

42.

A constant is . . .

a)

a letter

b)

a math or science mystery

c)

a number

d)

a variable

43.

What is the variable in 3x - 5

a)

x

b)

5

c)

3

44.

What are variables in math?

a)

Letters

b)

Numbers

c)

Expressions

45.
5p + 4h - 2
Which are the variables? 
a)
5p, 4h, 2
b)
2
c)
p, h
d)
5, 4
46.

What are the variables in 3x + y

a)

3x

b)

x,y

c)

x

d)

y

47.

Write the following statement as a mathematic expression with variable(s):


> Ben has 35 crisps. That is 7 times more than Ryan has.

4 lines
48.

Write the following statement as a mathematic expression with variable(s):


> The difference of 16 and K is seven.

4 lines
49.
What is the value of d in the following equation?
15 + d = 27
a)
13
b)
12
c)
14
d)
8
50.
What is the value of c in the following equation?
(8 + c) - 7 = 10
a)
9
b)
8
c)
7
d)
6
51.
What is the value of q in the following equation?
6 + q = 4 + 5
a)
2
b)
5
c)
3
d)
4
52.
What is the value of k in the following equation?
(9 - 6) + 5 = k
a)
11
b)
10
c)
9
d)
8
53.
What is the value of g in the following equation?
(24 ÷ 6) - g = 2
a)
2
b)
4
c)
6
d)
8
54.
Solve the following expression.
x = 4
(39 - x)  ÷ 7
a)
6
b)
5
c)
7
d)
9
55.
Solve the following expression.
s = 12
(s + 6) + (s - 8) 
a)
14
b)
21
c)
16
d)
22
56.
Solve the following expression.
j = 9
(j x 2) + (4 + j)
a)
22
b)
21
c)
32
d)
31
57.
Solve the following expression.
m = 8
3 + (m - 3) ÷ 2
a)
4
b)
6
c)
8
d)
10
58.
Solve the following expression.
f = 12
s = 4
(f - 2) + (6 + s)
a)
15
b)
30
c)
20
d)
28
59.
Solve the following equation:
r = 3
g = 2
(r - g) + (r ⋅ g) =
a)
10
b)
7
c)
8
d)
9
60.
How many times greater is 8 than 2?
a)
5 times greater
b)
3 times greater
c)
2 times greater
d)
4 times greater
61.
How many times smaller is 6 than 42?
a)
8 times smaller
b)
7 times smaller
c)
6 times smaller
d)
5 times smaller
62.
Tim has 8 times as many rabbits as Abby. If Abby has 9 rabbits, how many rabbits does Tim have?
a)
1 rabbit
b)
64 rabbits
c)
72 rabbits
d)
81 rabbits
63.
Ben has 35 Mini Figs. That is 7 times more than Bryce has. How many Mini Figs does Bryce have?
a)
245 Mini Figs
b)
5 Mini Figs
c)
9 Mini Figs
d)
12 Mini Figs
64.

“three times the sum of 8 and 5”

a)

3 x 8 + 5

b)

3 x (8 - 5)

c)

3 x (8 + 5)

d)

3 + 3 (8 + 5)

65.

“the product of 8 and 5”

a)

8 ÷ 5

b)

8 x 5

c)

8 + 5

d)

8 - 5

66.

“difference of 8 and 5 divided by three”

a)

8 ÷ (5 ÷ 3)

b)

8 x 5 ÷ 3

c)

8 - 5 ÷ 3

d)

(8 - 5) ÷ 3

67.

“the product of 8 and 5 then add 3”

a)

8 ÷ (5 + 3)

b)

8 x 5 + 3

c)

8 x (5 + 3)

d)

(8 - 5) + 3

68.

“twice the sum of 3 and 8”

a)

8 ÷ (2 + 3)

b)

(8 + 3)2

c)

(2 + 8) + 3

d)

(8 + 3)

69.

“35 divided by 5 then subtract 8”

a)

35 ÷ 5 - 8

b)

(35 + 5) - 8

c)

(35 + 8) + 5

d)

35 ÷ (5 - 8)

70.

“difference of 5 and 3 then multiply by 8”

a)

(8 - 5)3

b)

(8 + 5)3

c)

(8 x 5) - 3

d)

8(5 - 3)

71.

“Add 7 and 3 then take away 1”

a)

(7 + 3)1

b)

7 + 3 + 1

c)

(7 + 3) - 1

d)

+ 73 - 1

72.

“Half of 8”

a)

8 ÷ 2

b)

8

c)

8 (2)

d)

8 - 8

73.

"two times the sum of 8 and 5”

a)

2 x 8 + 5

b)

2 x (8 - 5)

c)

2 x (8 + 5)

d)

2 + 3 (8 + 5)

74.
Write the expression.
Three more cookies than are in the jar. 
a)
C x 3
b)
C - 3
c)
C + 3
d)
C ÷ 3
75.
The product of seven and a number increased by five
a)
7+n+5
b)
7/n+5
c)
7n+5
d)
7-n+5
76.
The sum of 6 and x
a)
x + 6
b)
6/x
c)
x + 4
d)
6x
77.
Product of 4 and p 
a)
4/p 
b)
4 X P 
c)
12/4p 
d)
12/4x
78.
What is the quotient of y and 5?
a)
y - 5
b)
y + 5
c)
y X 5
d)
y/5
79.
Three times a number increased by nine
a)
3h-9
b)
3(h-9)
c)
3(h+9)
d)
3h+9
80.
Five times Mike's age increased by 9
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
81.
What are the variables of 7x+6y-9
a)
6,7
b)
9
c)
6y, 7x
d)
x, y
82.
six less than the number of men
Let m = number of men
a)
6 - m
b)
m - 6
83.
Write the phrase as an expression. "10 less than a number n"
a)
10-n
b)
n-10
c)
n+10
d)
10-n
84.
Write the phrase as an expression. " the total of 6 and 10"
a)
6+10
b)
6-10
c)
6⋅10
d)
6/10
85.
the difference of 100 and a number w 
a)
100 + w 
b)
100 / (6 + w)
c)
100  - w
d)
100 / 6 + w 
86.
The product of seven and a number increased by five
a)
7+n+5
b)
7/n+5
c)
7n+5
d)
7-n+5
87.
Three times a number increased by nine
a)
3h-9
b)
3(h-9)
c)
3(h+9)
d)
3h+9
88.
Solve the expression.
a)
108
b)
31
c)
27
d)
16
89.
Solve the expression.
a)
77
b)
24
c)
70
d)
32
90.
Solve the expression.
a)
77
b)
18
c)
47
d)
70
91.
Solve the expression.
a)
35
b)
49
c)
140
d)
24
92.
Solve the expression.
a)
24
b)
34
c)
22
d)
14
93.

(17 - 10) + 3 = ?

a)

4

b)

10

c)

11

d)

9

e)

7

94.

(17-10) + 3 = ____

a)

10

b)

4

c)

30

d)

13

e)

17

95.

17 - (10 + 3) = ____

a)

10

b)

4

c)

30

d)

13

e)

17

96.

____ = (24 - 17) - 6

a)

1

b)

13

c)

7

d)

6

e)

13

97.

5 x (8 - 2) = ____

a)

38

b)

30

c)

25

d)

35

e)

11

98.

(5 x 8) - 2 = ____

a)

38

b)

30

c)

25

d)

35

e)

11

99.

There are 8 fish tanks at the pet store. Each tank has 4 fish. Harper buys 2 fish. How many fish are left at the store?

a)

16

b)

14

c)

32

d)

30

e)

28

100.

Is this equation TRUE or FALSE?

8 x (4 - 2) = 16

a)

TRUE

b)

FALSE

101.

____ = 24 - (17 - 6)

a)

1

b)

12

c)

7

d)

6

e)

13

102.

Analyze the expression: 3 x 5 + 2 = 21 Add parentheses to make the expression TRUE.

a)

(3 x 5) + 2 = 21

b)

4 x (5 + 2) = 21

c)

3 x (5 + 2) = 21

d)

3 x {2 + 6} = 21

103.

Analyze the expression:

32 - 2 x 3 + 6 = 14

Add parentheses to make the expression TRUE.

a)

(32 - 2) x 3 + 6 = 14

b)

32 - (2 x 3) + 6 = 14

c)

2 x (32 - 6) + 3 = 14

d)

32 - 2 x (3 + 6) = 14

104.

Add parentheses to make the expression TRUE.

12 x 2 + 4 = 72

a)

(2 x 2) + 4 = 72

b)

12 x (2 + 4) = 72

c)

(12 x 2 + 4) = 72

105.

Add parentheses to make the expression TRUE.

7 + 4 x 12 - 8 = 23

a)

7 + 4 x (12 - 8) = 23

b)

(7 + 4) x 12 - 8 = 23

c)

7 + (4 x 12) - 8 = 23

d)

(17 + 4) x 12 - 8 = 23

106.

Add parentheses to make the expression TRUE.

3 x 3 - 4 + 5 = 0

a)

(3 x 3) - 4 + 5 = 0

b)

(13 x 5) + 5 = 0

c)

(3 x 3 - 4) + 5 = 0

d)

3 x 3 - (4 + 5) = 0

107.

Add parentheses to the expression to make it TRUE.

15 + 4 x 7 - 5 = 128

a)

15 + 4 x (7 - 5) = 128

b)

15 + (4 x 7) - 5 = 128

c)

(15 + 4) x 7 - 5 = 128

d)

15 + 4 x 7 - 5 = 128

108.

The parentheses in this expression makes it TRUE.

24 / (2 x 3) = 4

a)

True

b)

False

109.

Add parentheses to make the expressions TRUE.

12 x 2 + 4 = 72

a)

(12 x 2) + 4 = 62

b)

12 x (2 + 4) = 72

c)

12 x (2 + 4) = 70

d)

12 x (2 + 4) = 68

110.

Add parentheses to the expression to make it TRUE.

24 - 4 x 2 + 2 = 42

a)

(24 - 4 x 2) + 2 = 42

b)

24 - (4 x 2) + 2 = 42

c)

(24 - 4) x 2 + 2 = 42

d)

24 - 4 x (2 + 2) = 42

111.

Add parentheses to the expression to make it TRUE.

5 x (5 - 3) x 6 = 60

a)

5 x 5 - (3 x 6) = 60

b)

(5 x 5) - 3 x 6 = 60

c)

5 x (5 - 3) x 6 = 60

d)

5 x (5 - 3 x 6) = 60