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WorksheetsExpressions Review
Total questions: 95
Worksheet time: 3hrs 23mins
Name
Class
Date
1.
Which of the following is equivalent to 5(2x + 6)?
a)
10x + 30
b)
10x + 6
c)
40x
d)
2x + 30
2.
Use the distributive property to find an equivalent expression: 5(2f + 4)
a)
10f + 4
b)
10f + 9
c)
10f + 20
d)
30f
3.
There were 200 children already at summer camp. Then three buses arrived with g children each. Which expression represents the total number of children?
a)
200 + 3g
b)
200 + g
c)
200 + 3
d)
200 + g2
4.
A letter that represents a number is called a _____.
a)
variable
b)
coefficient
c)
constant
d)
term
5.
What is the constant in the following expression?
8y + 5 - 35p
8y + 5 - 35p
a)
8
b)
35p
c)
5
d)
8y
6.
3(3x +1)
a)
9x +3
b)
3x + 3
c)
12x
d)
9x + 1
7.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
8.
Simplify the expression: 2x + 1 + 7x
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
9.
A number with no variable attached is called a _____.
a)
coefficient
b)
constant
c)
variable
d)
term
10.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
11.
3x2+4x2+7 is
a)
7x4+7
b)
7x2 + 7
c)
7x5
d)
7
12.
12(4x + 5) + 10x
a)
58x + 20
b)
58x + 60
c)
38x + 20
d)
10x + 20
13.
The number before a variable is the _____.
a)
term
b)
constant
c)
coefficient
d)
variable
14.
What do you call each part of an expression that is separated by a + or a -?
a)
coefficient
b)
constant
c)
variable
d)
term
15.
X+X+X+X+X
a)
X + 5
b)
5X
c)
X+X+X+X+X+5
d)
X to the 5th power
16.
a + a + a + a
a)
a + 4
b)
4a
c)
a to the fourth power
d)
4a + 4
17.
y + x + y + y + x
a)
2 + 3
b)
x + y
c)
2x + 3y
d)
5xy
18.
2r + 2 + 5r - 2 + r
a)
8r
b)
8r - 4
c)
12r
d)
7r + 4 + r
19.
6x + 1 + 7x
a)
13x - 1
b)
14x
c)
7x + 6x + 1
d)
13x + 1
20.
3 + 12c - 4c
a)
16c + 3
b)
8c + 3
c)
5c
d)
8c
21.
6x + 2x
a)
8x
b)
12x
c)
8
d)
12
22.
3 + 5x + 4
a)
5x ∙ 7
b)
12x
c)
35x
d)
5x + 7
23.
4x + 3 + 7x
a)
14x
b)
11x + 3
c)
28x + 3
d)
11x - 3
24.
5z - 4z
a)
1z
b)
9z
c)
20z
d)
0
25.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
26.
6x + 2x
a)
8x
b)
12x
c)
8
d)
12
27.
Simplify the expression: 2x + 1 + 7x
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
28.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
29.
3z
a)
three inches short
b)
3 times as many
c)
3 inches beyond
d)
3 more than
30.
z - 4
a)
4 inches ahead
b)
4 less than z
c)
4 times as many
d)
one-fourth the size
31.
Beth is 6 years younger than twice her brother's age. How old is Beth?
a)
6 - 2b
b)
2b - 6
c)
1/2b + 6
d)
b + 6
32.
What is the quotient of sixteen and a number?
a)
n ÷ 6
b)
6 ÷ n
c)
n ÷ 16
d)
16 ÷ n
33.
What is the sum of 14 and x?
a)
x - 14
b)
14(x)
c)
14 + x
d)
14/x
34.
What is a number decreased by seventeen?
a)
n + 17
b)
n - 17
c)
17 + n
d)
17 - n
35.
What is 5 less than the product of 6 and s?
a)
6s - 5
b)
5 - 6s
c)
5 + 6 - s
d)
6 - s -5
36.
twice h increased by 5
a)
2 + h + 5
b)
h ∙ h + 5
c)
5 ∙ h ∙ 2
d)
2h + 5
37.
the product of y and 7
a)
y x 7
b)
y ∙ 7
c)
y + 7
d)
y ÷ 7
38.
u decreased by 17
a)
17 - u
b)
u - 17
c)
u + 17
d)
u ÷ 17
39.
half of a number, c
a)
c ÷ 2
b)
½ ÷ c
c)
c ÷ ½
d)
c + ½
40.
triple the sum of x and 5
a)
3 + x + 5
b)
3 ∙ x + 5
c)
3(x + 5)
d)
(3x) + 5
41.
a number cubed plus 8
a)
n ∙ 4 + 8
b)
n2 + 8
c)
n3 + 8
d)
n + n + n + 8
42.
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
43.
the difference of 100 and a number w
a)
100 + w
b)
100 / (6 + w)
c)
100 - w
d)
100 / 6 + w
44.
Product of 4 and p
a)
4/p
b)
4 X P
c)
12/4p
d)
12/4x
45.
The sum of 6 and x
a)
x + 6
b)
6/x
c)
x + 4
d)
6x
46.
What is the quotient of y and 5?
a)
y - 5
b)
y + 5
c)
y X 5
d)
y/5
47.
Three times a number increased by nine
a)
3h-9
b)
3(h-9)
c)
3(h+9)
d)
3h+9
48.
Five times Mike's age increased by 9
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
49.
six less than the number of men
Let m = number of men
Let m = number of men
a)
6 - m
b)
m - 6
50.
Three times a number increased by nine
a)
3h-9
b)
3(h-9)
c)
3(h+9)
d)
3h+9
51.
What are the variables of 7x+6y-9
a)
6,7
b)
9
c)
6y, 7x
d)
x, y
52.
Write the phrase as an expression. "10 less than a number n"
a)
10-n
b)
n-10
c)
n+10
d)
10-n
53.
Write the phrase as an expression. " the total of 6 and 10"
a)
6+10
b)
6-10
c)
6⋅10
d)
6/10
54.
A man earns x dollars per year. He works 50 weeks during the year. Which expression represents how much he earns each week?
a)
50 + x
b)
50x
c)
x ÷ 50
d)
50 ÷ x
55.
Pam put pink frosting on one-fourth of the cookies she made. If y is the total number of cookies she made, which expression shows the number of cookies with pink frosting?
a)
¼ y
b)
¼ + y
c)
y - ¼
d)
y ÷ ¼
56.
Sarah lives 5 miles farther from school than Grant. If g represents the distance Grant lives from school, which expression represents the total number of miles Sarah and Grant travel to school?
a)
(g + 5) + g
b)
(5 × g) + g
c)
(g + 5) + 5
d)
(5 × g) × 5
57.
Matthew is 3 times older than Brian. If x represents Brian’s age, which expression represents the combined age of Matthew and Brian?
a)
3x
b)
3x + x
c)
x + 3
d)
x + x + 3
58.
The first side of a triangle is x feet long. The second side is three times the first, and the third side is two feet more than the second. Which expression represents the third side?
a)
3x
b)
x + 2
c)
3x + 2
d)
x + 3(2)
59.
a)
A
b)
B
c)
C
d)
D
60.
a)
A
b)
B
c)
C
d)
D
61.
a)
A
b)
B
c)
C
d)
D
62.
a)
A
b)
B
c)
C
d)
D
63.
a)
A
b)
B
c)
C
d)
D
64.
a)
A
b)
B
c)
C
d)
D
65.
Nadia and Sergio are saving money to buy bicycles. Nadia has $10 more than twice as many dollars as Sergio. If Sergio has a dollars, which expression represents how much Nadia has saved?
a)
(2a) x 10
b)
a + 2 x 10
c)
2(a + 10)
d)
2a + 10
66.
A plane traveling to New York has p passenger seats. The number of passengers seated on the plane is 175. Which expression can be used to find the number of empty seats on the plane?
a)
175 + p
b)
p - 175
c)
175 - p
67.
Mary can ride her bike m miles in 15 minutes. Which expression represents the number of miles Mary can ride in 60 minutes if she rides at the same rate?
a)
60 ÷ m
b)
45 + m
c)
15 ÷ m
d)
4 x m
68.
The gas tank in Danny’s car was almost empty. He added g gallons of gas to fill it. The gas tank holds 18 gallons. Which expression represents the number of gallons of gas in the tank before Danny filled it?
a)
18 - g
b)
g + 18
c)
18 x g
d)
g -18
69.
Allison made n brownies. Aiden made 10 fewer brownies than Allison. Which expression represents the number of brownies Aiden made?
a)
n - 10
b)
10 - n
c)
n x 10
d)
10 + n
70.
The manufacturer of Derrick’s car states that the car should get about 25 miles per gallon of gas. Derrick plans to drive 400 miles. He used the equationto determine g, the number of gallons of gas he needs for the trip. What value of g makes this equation true?
a)
375
b)
100
c)
20
d)
16
71.
Evaluate 2x2 - 4 when x = 3
a)
8
b)
32
c)
14
d)
10
72.
Evaluate 12y - 5x +6 when x= 2 and y= 12
a)
-30
b)
128
c)
48
d)
140
73.
Evaluate x2 - 4x when x = 5
a)
-10
b)
21
c)
5
d)
12
74.
Evaluate 4y if y = 3
a)
7
b)
12
c)
43
75.
Evaluate m² if m = 5
a)
10
b)
25
c)
52
76.
Evaluate 2r + 1 if r = 3
a)
6
b)
5
c)
7
d)
8
77.
Evaluate 2a + 4b
if a = 10 and b = 6
if a = 10 and b = 6
a)
20
b)
24
c)
44
d)
4
78.
Evaluate 2a + 4b
if a = 10 and b = 6
if a = 10 and b = 6
a)
20
b)
24
c)
44
d)
4
79.
Evaluate 8a - b if a = 10 and b = 6
a)
74
b)
38
c)
1000
d)
9000
80.
Evaluate 7y - 3y for y=2
a)
40
b)
73
c)
8
d)
4
81.
Evaluate
n + 6 for n = 6
n + 6 for n = 6
a)
12
b)
36
c)
0
d)
6
82.
Evaluate 2r + 1 if r = 3
a)
6
b)
5
c)
7
d)
8
83.
Evaluate
8b for b = 9
8b for b = 9
a)
17
b)
1
c)
89
d)
72
84.
Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4
4h + 2g + 4
a)
76
b)
46
c)
34
d)
58
85.
What operation is the word "sum" associated with?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
86.
What operation is the word "plus" associated with?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
87.
What operation is the phrase "greater than" associated with?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
88.
What operation is the phrase "increased by" associated with?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
89.
What operation is the phrase "decreased by" associated with?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
90.
What operation is the phrase "fewer than" associated with?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
91.
What operation is the phrase "less than" associated with?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
92.
What operation is the word "difference" associated with?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
93.
8x + 3x -7 when x is 1.2
a)
21.05
b)
6.2
c)
136
d)
1,638
94.
16m - 8n when m is 80 and n is 40
a)
21.05
b)
960
c)
54
d)
1,638
95.
2x + 5(y - 1) when x=8 and y=5
a)
20
b)
31
c)
36
d)
-4
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