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WorksheetsQ3
Total questions: 153
Worksheet time: 5hrs 31mins
Name
Class
Date
1.
How many terms are in the following expression? 3x + 6y − 5 + 4n
a)
3
b)
2
c)
4
d)
1
2.
How would you write the following expression using exponents? n ⋅ n ⋅ n
a)
n¹
b)
n³
c)
m³
d)
n²
3.
How would you write the following expression using exponents? 5 ⋅ 5 ⋅ v ⋅ v ⋅ v
a)
5³v²
b)
5v³
c)
5²v
d)
5²v³
4.
If b=5, evaluate the expression 4b.
a)
20
b)
45
c)
25
d)
54
5.
If g=4, evaluate the expression 3g - 6.
a)
28
b)
8
c)
6
d)
18
6.
If d=9, evaluate the expression d² + 3.
a)
21
b)
15
c)
78
d)
84
7.
If n=6, evaluate the expression 10n + 2n.
a)
132
b)
72
c)
62
d)
86
8.
If x=2 and y=3, evaluate the expression 7x - 3y.
a)
5
b)
8
c)
39
d)
49
9.
If b=7 and c=5, evaluate the expression bc - 10.
a)
65
b)
85
c)
45
d)
25
10.
If f=8, evaluate the expression 5(6) + f.
a)
19
b)
38
c)
33
d)
43
11.
Simplify the following expression:
-9(14p - 8) - 4p
-9(14p - 8) - 4p
a)
130p - 72
b)
122p - 72
c)
-130p - 18
d)
-130p + 72
12.
Simplify 5(2 - 7n) =
a)
52 - 57n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
13.
Simplify 6(x + -2) =
a)
6x + 12
b)
6x - 12
c)
6x + 2
d)
6x - 2
14.
3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
15.
4(-p - 6)
a)
4p - 24
b)
4p + 24
c)
-4p + 24
d)
-4p - 24
16.
3(2x+1)+2(x-4)
a)
8x-11
b)
8x+11
c)
8x+5
d)
8x-5
17.
Simplify the expression: 3(1 - 2x) + 7
a)
21 - 6x
b)
24 + 6x
c)
10 + 6x
d)
10 - 6x
18.
4a + 9 + a
a)
5a + 9
b)
3a-9
c)
3a + 9
d)
5a - 9
19.
Simplify the following expression:
-8x + 4x
-8x + 4x
a)
-12x
b)
-4x
c)
4x
d)
12x
20.
-(-x + 2) - 4x
a)
-5x - 2
b)
-3x + 2
c)
-5x + 2
d)
-3x - 2
21.
-4(-4d - 5)
a)
16d+20
b)
-16d+20
c)
16d-20
d)
-16d-20
22.
Simplify the expression:
6 + 2(7x - 3)
6 + 2(7x - 3)
a)
14x + 12
b)
14x
c)
14x - 12
d)
56x - 24
23.
Simplify the expression: 7+3(1 - 2x)
a)
-20x - 10
b)
-20x + 10
c)
6x + 10
d)
-6x + 10
24.
Simplify the following expression:
-7x - 9x
-7x - 9x
a)
-2x
b)
2x
c)
-16x
d)
16x
25.
Simplify:
2x - 5x + 6x + 7 + 14
2x - 5x + 6x + 7 + 14
a)
3x + 21
b)
3x + 22
c)
-3x + 21
d)
-3y + 22
26.
Simplify:
5x - 6x - 8x + 7
5x - 6x - 8x + 7
a)
-9x + 7
b)
-9x - 7
c)
9x + 7
d)
9x - 7
27.
Simplify the following expression:
3 + 5x + 8 - 2x
3 + 5x + 8 - 2x
a)
7x - 11
b)
7x + 11
c)
-3x + 11
d)
3x + 11
28.
Simplify:
-1x + y - z + 10z + 2x - 10y
-1x + y - z + 10z + 2x - 10y
a)
1x - 9y + 9z
b)
1x - 9z - 9y
c)
-1x - 9z - 9y
d)
-1x - 9 - 9y
29.
Simplify the following expression:
-6x + 4(-x - 3)
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
30.
5 - 3(5x - 4)
a)
15x + 7
b)
-15x + 17
c)
15x - 7
d)
-15x - 17
31.
Evaluate 16 + b if b = 25
a)
52
b)
53
c)
37
d)
41
32.
Evaluate x - y If x = 64 and y = 27
a)
37
b)
41
c)
71
d)
26
33.
Evaluate 6x If x= 1/2
a)
3
b)
5
c)
9
d)
12
34.
Evaluate 5t + 4 If t = 3
a)
21
b)
15
c)
19
d)
7
35.
Evaluate 4x² If x = 1/8
a)
1/20
b)
2/4
c)
1/16
d)
1/23
36.
Evaluate 10a + 7 If a = 1/5
a)
1/10
b)
7
c)
3/5
d)
9
37.
Evaluate 3 + m if m = 4
a)
7
b)
9
c)
12
d)
1
38.
Evaluate 60r - 4 If r = 1/6
a)
6
b)
12
c)
5
d)
11
39.
Evaluate 3r² if r = 1/6
a)
3
b)
2/4
c)
1/3
d)
1/12
40.
Evaluate 4m -2 If m = 4
a)
14
b)
5
c)
2
d)
11
41.
Evaluate 12r If r =1/6
a)
2
b)
6
c)
4
d)
9
42.
Evaluate z - m If z = 9 , m = 4
a)
6
b)
4
c)
5
d)
11
43.
Identify the Variable
7h + 3
7h + 3
a)
h
b)
7
c)
7h
d)
3
44.
Identify the Coefficient
7d + 19
7d + 19
a)
7
b)
d
c)
7d
d)
19
45.
Identify the Variable
2g + 12
2g + 12
a)
g
b)
2g
c)
12
d)
2
46.
Identify the Coefficient
6n - 8
6n - 8
a)
6
b)
6n
c)
8
d)
n
47.
Identify the Constant
6f 2 + 4
6f 2 + 4
a)
6
b)
f 2
c)
4
d)
6f
48.
Identify the Constant
8x ÷ 16
8x ÷ 16
a)
16
b)
8
c)
x
d)
8x
49.
Evaluate (Solve) the expression if b = 2
3b + 2
3b + 2
a)
7
b)
3
c)
8
d)
6
50.
Evaluate (Solve) the expression if y = 4
y 2 - 6
y 2 - 6
a)
2
b)
8
c)
10
d)
22
51.
Evaluate (Solve) the expression if z = 10
10z - 50
10z - 50
a)
50
b)
-30
c)
20
d)
150
52.
Evaluate (Solve) the expression if h = 3
2h + 6h
2h + 6h
a)
14
b)
24
c)
8h
d)
16
53.
Evaluate (Solve) the expression if k = 3
2k 2 - 6
2k 2 - 6
a)
3
b)
12
c)
6
d)
4
54.
Evaluate (Solve) the expression if g = 1 and h = 2
8h - 4h + g 2
8h - 4h + g 2
a)
9
b)
8gh 2
c)
gh 2
d)
16
55.
Evaluate (Solve) the expression if a = 2 and b = 6
ab + 8
ab + 8
a)
20
b)
12
c)
6
d)
8ab
56.
Evaluate (Solve) the expression if x = 1,
y = 2, and z = 3
3x + 5y - 2z
y = 2, and z = 3
3x + 5y - 2z
a)
6
b)
6xyz
c)
10xyz
d)
7
57.
Evaluate (Solve) the expression if i = 6
2i + 3i - 5i
2i + 3i - 5i
a)
10i
b)
0
c)
30
d)
16i
58.
Three times the sum of 2 and e.
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
59.
The difference of h and 9 divided by 3.
a)
(h-9)/3
b)
(n-9)/3
c)
(9-h)/3
d)
9-h/3
60.
5y + 8
Solve if y = 4
Solve if y = 4
a)
20
b)
28
c)
44
d)
17
61.
triple the sum of x and 5
a)
3 + x + 5
b)
3 ∙ x + 5
c)
3(x + 5)
d)
(3x) + 5
62.
Write a verbal expression for:
2a+6
2a+6
a)
6 more than the product of 2 times a
b)
6 less than the product of 2 times a
c)
6 more than the quotient of 2 and a
d)
twice the sum of a and 6
63.
Simplify the expression: 2x + 1 + 7x
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
64.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
65.
Simplify:
3x + 10x + x
3x + 10x + x
a)
simplified
b)
12x
c)
13x
d)
14x
66.
Simplify:
f + f + f
f + f + f
a)
f³
b)
f
c)
3f
d)
2f
67.
What is the definition of a exponent?
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 with no variable
68.
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
69.
What is the definition of a variable?
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 with no variable
70.
A LETTER THAT CAN BE REPLACED BY A NUMBER
i.e. 4x (x is the _____)
i.e. 4x (x is the _____)
a)
exponent
b)
base
c)
inequality
d)
variable
71.
A SENTENCE WITH AN EQUAL SIGN
i.e. 4x = 8
i.e. 4x = 8
a)
exponent
b)
equation
c)
term
d)
variable
72.
________________ contains variables, numbers, and at least one operation.
a)
term
b)
equation
c)
constant
d)
expression
73.
How many terms does this equation have?
5x + 4 = 24
5x + 4 = 24
a)
2
b)
1
c)
4
d)
3
74.
What is the coefficient in the following equation:
k - 8 = 10
k - 8 = 10
a)
8
b)
0
c)
1
d)
10
75.
____________ each part of an algebraic equations separated by a plus, minus or equal sign.
a)
coefficient
b)
term
c)
expression
d)
equation
76.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
77.
Which of these illustrates the associative property of multiplication?
a)
4 x (5 x 6) = (4 x 5) x 6
b)
6 (9 + 1) = (6 x 9) + (6 x 1)
c)
4 x (56) = (45) x 6
d)
5 + 0 = 0 + 5
78.
True or False:
When a problem has parentheses, I should always do the numbers inside of the parentheses last.
When a problem has parentheses, I should always do the numbers inside of the parentheses last.
a)
True
b)
False
79.
The sum of seven and x
a)
7-x
b)
x-7
c)
7x
d)
7+x
80.
Product
The answer in...
The answer in...
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
81.
Less
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
82.
A letter that represents a number.
a)
Addition
b)
Expression
c)
Algebra
d)
Variable
83.
Five less than y
a)
5+y
b)
5y
c)
5-y
d)
y-5
84.
Quotient
The answer in...
The answer in...
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
85.
The product of five and w
a)
5+w
b)
5w
c)
w-5
d)
5-w
86.
A mathematical phrase that uses variables, numerals, and operation symbols.
a)
Algebra
b)
An equation
c)
An algebraic expression
d)
Something very scary
87.
Twenty decreased by x
a)
20+x
b)
20/x
c)
x-20
d)
20-x
88.
The total of m and n
a)
mn
b)
m/n
c)
m-n
d)
m+n
89.
The number h decreased by eight
a)
h-8
b)
8h
c)
h+8
d)
8-h
90.
What is the value of 12 – 4 + 2h when h = 3?
a)
30
b)
22
c)
14
d)
13
91.
What is the first step in evaluating the expression shown below?
12 ÷ (7.4 – 3.6) + 8 – 2
a)
Divide 12 ÷ 7.4
b)
Add 3.6 + 8
c)
Subtract 8 – 2
d)
Subtract 7.4 – 3.6
92.
What is the value of 3 + 30 ÷ 3 × m, if m = 5?
a)
5
b)
50
c)
53
d)
55
93.
There were 36 sandwiches ordered for a company luncheon. If t represents the number of sandwiches that were tuna, then the expression 36 − t represents the number of sandwiches that were not tuna. If 17 sandwiches were tuna, how many sandwiches were not tuna?
a)
9 sandwiches
b)
16 sandwiches
c)
17 sandwiches
d)
19 sandwiches
94.
The school choir sold T-shirts for a fundraiser. Each adult T-shirt cost $6 more than a child’s T-shirt. If c represents the cost of a child’s T-shirt, which expression represents the cost of an adult’s T-shirt?
a)
6c
b)
c - 6
c)
6 - c
d)
c + 6
95.
Evaluate 33 + d for d = 20.
a)
13
b)
43
c)
53
d)
63
96.
Juan had $35 before he went shopping. Evaluate the expression 35 − d for d = 8 to find how much money Juan had left after he spent $8 while shopping.
a)
$27
b)
$29
c)
$43
d)
$3,508
97.
If the value of the expression 36 ÷ u is 9, what is the value of u?
a)
u = 6
b)
u = 5
c)
u = 4
d)
u = 3
98.
There are 60 minutes in one hour, 24 hours in 1 day, and 7 days in one week. The expression 60 × 24 × d represents the number of minutes in d days. Which is the best estimate for the number of minutes in one week?
a)
1,200 minutes
b)
1,800 minutes
c)
6,000 minutes
d)
12,000 minutes
99.
Solve the equation.
x − 4,200 = 8,000
a)
x = 3,800
b)
x = 4,800
c)
x = 12,200
d)
x = 12,800
100.
On his vacation, Jason rented a bike for h hours at the rate of $7.50 per hour. The equation $7.50h = $37.50 can be used to find how many hours he rented the bike. For how many hours did Jason rent the bike?
a)
5 hours
b)
6 hours
c)
7 hours
d)
8 hours
101.
Selena has 330 baseball cards. She buys 30 more and now has 10 times as many baseball cards as Dean. How many baseball cards does Dean have? Write an equation and solve.
a)
330 − 30 = 10 × n; n = 30
b)
330 + 30 = 10 × n; n = 36
c)
330 − 30 = n ÷ 10; n = 3,000
d)
330 + 30 = n ÷ 10; n = 3,600
102.
(2+3)2 - 3(4)
a)
12
b)
13
c)
23
d)
21
103.
34+10
a)
81
b)
91
c)
99
d)
101
104.
10-n
where n=4
where n=4
a)
6
b)
4
c)
2
d)
8
105.
83+ (5-x)-2
where x=3
where x=3
a)
251
b)
152
c)
125
d)
512
106.
4 times the quantity 3 plus m
a)
4(3+m)
b)
4 + 3 + m
c)
4(3) + m
d)
m(4+3)
107.
108 marbles shared equally by 6 friends
a)
108 x 6
b)
6/108
c)
108/6
d)
108-6
108.
37 people added to a number of p people
a)
37 + p
b)
p - 37
c)
37p
d)
37/p
109.
21x + (10-2)2
where x=2
where x=2
a)
160
b)
106
c)
16
d)
60
110.
six times the quantity two x plus three y
a)
6 (x + y)
b)
(2x + 3y)6
c)
6(2x + 3y)
d)
6(x2+y3)
111.
tell how many terms are in the expression:
2x + 3(24) - 2/5(y)
2x + 3(24) - 2/5(y)
a)
1
b)
2
c)
3
d)
4
112.
tell how many terms are in the expression:
1/2(x)2 - 16y + 21 + 14(7+2)
1/2(x)2 - 16y + 21 + 14(7+2)
a)
2
b)
3
c)
4
d)
5
113.
tell how many terms are in the expression:
2x + 3y
2x + 3y
a)
1
b)
2
c)
3
d)
4
114.
tell how many terms are in the expression:
25/5 + 21n - 4
25/5 + 21n - 4
a)
1
b)
2
c)
3
d)
4
115.
evaluate the expression for x, where x=1, x=3 and x=4
x2 + 4
x2 + 4
a)
5, 13, 21
b)
5, 12, 20
c)
6, 13, 20
d)
5, 13, 20
116.
evaluate the expression for x, where x=2, x=7 and x=10
5x - 4(2)
5x - 4(2)
a)
2, 7, 4
b)
2, 27, 14
c)
2, 27, 42
d)
2, 17, 42
117.
j + 3/8
where j= 3/4
where j= 3/4
a)
1 1/4
b)
11/8
c)
1 3/8
d)
1 3/4
118.
twenty pencils decreased by a number p
a)
p-20
b)
20-p
c)
20 + p
d)
20p
119.
seven erasers more than erasers e
a)
7e
b)
e-7
c)
7+e
d)
7/e
120.
(3+11) ÷ 2
a)
14
b)
7
c)
2
d)
1
121.
Evaluate the expression using the values
m = 7, r = 8, and t = 2.
4m + t
m = 7, r = 8, and t = 2.
4m + t
a)
30
b)
28
c)
26
d)
14
122.
Evaluate the expression using the values m = 7, r = 8, and t = 2.
r/t
r/t
a)
8
b)
6
c)
4
d)
7
123.
Evaluate the expression using the values m = 7, r = 8, and t = 2.
3m – 5t
3m – 5t
a)
21
b)
11
c)
10
d)
22
124.
Which is NOT a word phrase for the algebraic expression.
n + 16
a)
a number increased by 16
b)
16 increased by a number
c)
the sum of a number and 16
d)
16 more than a number
125.
Which is NOT a word phrase for the algebraic expression.
24n
24n
a)
24 times a number
b)
24 times n
c)
the product of 24 and a number
d)
the sum of 24 and a number
126.
A cell phone company charges $40 per month(m) plus a $35 activation fee. How much would the service cost for the first 2 months(m)?
Hint:
40m+35
Hint:
40m+35
a)
$110
b)
$75
c)
$115
d)
$80
127.
A ______ is a letter which represents an unknown number (quantity).
a)
expression
b)
variable
c)
term
d)
like term
128.
The number you see before a variable (Example: 6z, the 6 is the ________)
a)
coefficient
b)
variable
c)
term
d)
product
129.
A symbol for a number we don't know yet. This is usually a letter.
a)
coefficient
b)
sum
c)
variable
d)
term
130.
How many coefficients are in 12x + 7y - 2
a)
1
b)
2
c)
3
d)
4
131.
What are the variables in the following expression: 3z + 4x - 1 + 7y
a)
3, 4, 1 and 7
b)
z, x and y
c)
+ and -
d)
15
132.
What do you call each part of an expression that is separated by a + or a -?
a)
coefficient
b)
constant
c)
variable
d)
term
133.
What is the coefficient in the expression: 94a+2?
a)
2
b)
4
c)
94
d)
94a
134.
How many factors are shown in the example below:
4m(2)(3m)(5m)
4m(2)(3m)(5m)
a)
1
b)
2
c)
4
d)
7
135.
What term is used to describe the parts of an expression that are being multiplied?
Example: 3(2m)(5m)
Example: 3(2m)(5m)
a)
terms
b)
factors
c)
variables
d)
constants
136.
How many constants are in the following expression?
5b + 3 - 4k + 6
5b + 3 - 4k + 6
a)
3
b)
6
c)
2
d)
4
137.
In 3x=12, the x is called the
a)
coefficient
b)
variable
c)
constant
d)
term
138.
List the terms in this expression.
7x-6+8
7x-6+8
a)
7x & 8
b)
7
c)
7, 6, 8
d)
7x, 6 & 8
139.
Which is equivalent to
y+y+y
y+y+y
a)
3y
b)
y3
c)
3y3
d)
3x
140.
Evaluate
53
53
a)
15
b)
30
c)
125
d)
5x5x5x5
141.
Evaluate the expression using the values m = 7, r = 8, and t = 2.
3m – 5t
3m – 5t
a)
21
b)
11
c)
10
d)
22
142.
Which is NOT a word phrase for the algebraic expression.
n + 16
n + 16
a)
a number increased by 16
b)
16 times a number n
c)
the sum of a number and 16
d)
16 more than a number
143.
Which is NOT a word phrase for the algebraic expression.
24n
24n
a)
24 times a number
b)
24 times n
c)
the product of 24 and a number
d)
the sum of 24 and a number
144.
Which is equivalent to 85
a)
5 x 8
b)
40
c)
8x8x8x8x8
d)
$85
145.
Combine the like terms. Simplify.
2x + x - 4y
2x + x - 4y
a)
2x+x-4y
b)
4x+4y
c)
3x-4y
d)
3x+4y
146.
Write an algebraic expression for the word phrase.
12 more than (m) machines
12 more than (m) machines
a)
12-m
b)
m-12
c)
12m
d)
m+12
147.
Combine the like terms. Simplify.
2x + x - 4y
2x + x - 4y
a)
2x+x-4y
b)
4x+4y
c)
3x-4y
d)
3x+4y
148.
Combine like terms. Simplify.
11g-9g+8g
11g-9g+8g
a)
10g
b)
9g
c)
2g
d)
11g
149.
Combine like terms. Simplify.
3n + 2n
3n + 2n
a)
6n
b)
5n
c)
5n2
d)
6n2
150.
A ______ is a letter which represents an unknown number (quantity).
a)
expression
b)
variable
c)
term
d)
like term
151.
A _____ contains at least one variable, constant, and operation.
a)
term
b)
algebraic expression
c)
like term
d)
quadratic equation
152.
Solve using distributive property.
3(x-6)
3(x-6)
a)
3x+18
b)
3x-6
c)
3x+6
d)
3x-18
153.
Solve using distributive property.
2(x+3)
2(x+3)
a)
2x-6
b)
2x+3
c)
2x+6
d)
2x-3
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