WorksheetsAlgebraic Expression
Total questions: 50
Worksheet time: 1hrs 13mins
Name
Class
Date
1.
Which of the following is an example of an algebraic expression?
a)
3(2 + 7) - 10
b)
78 - 5 + 3
c)
3x + 6y
d)
8(3) - 5 + 2
2.
Which of the following terms means "subtract"?
a)
half
b)
less than
c)
double
d)
per
3.
Which of the following terms mean "addition"?
a)
of
b)
how many
c)
total of
d)
shared
4.
How many terms are in the given expression?
52 + 7n - 2f
52 + 7n - 2f
a)
6
b)
5
c)
3
d)
2
5.
Which expression represents: "the product of 3 and x increased by 5"?
a)
5x - 3
b)
3 - 5x
c)
3x + 5
d)
3x(5)
6.
Which expression represents "x cubed less than 7"?
a)
x3 - 7
b)
3x - 7
c)
7 - x3
d)
7 - 3x
7.
What is the coefficient of the following expression?
7c + 8
7c + 8
a)
c
b)
7
c)
8
d)
1
8.
What is the coefficient in the given expression: 2 - p + 4?
a)
1
b)
4
c)
2
d)
-1
9.
Carla and her sisters each earned 9 dollars for babysitting. Which expression represents how much Carla and her sister earned altogether?
a)
9 + x
b)
9x
c)
2(9 + x)
d)
2x + 9
10.
Andy and 4 friends equally shared some pizzas. How much did they each eat?
a)
4x
b)
x / 4
c)
5x
d)
x / 5
11.
Kendra’s math teacher assigned math homework, but Kendra decided to do 5 extra problems. Which algebraic expression shows how many problems Kendra completed?
a)
5x
b)
x-5
c)
x+5
d)
x5
12.
The algebraic expression 6x - 4 can be written as which of the following?
a)
x to the sixth power decreased by four
b)
The product of six and a number x decreased by four
c)
Six times a number x less than four
d)
four less than six
13.
Which set of words mean "exponent"?
a)
cubed, squared, increased, twice
b)
cubed, twice, squared, double
c)
cubed, squared, power
d)
cubed, squared, twice, triple
14.
Which of the following best describes the expression 4 times a number increased by 7?
a)
(x/4) + 7
b)
4x - 7
c)
4(x + 7)
d)
4x + 7
15.
Which of the following best describes the expression 8 less than the quotient of a number and 2?
a)
(x/2) - 8
b)
8 - (x/2)
c)
(x - 8)/2
d)
2x - 8
16.
Which of the following best describes the algebraic expression 3(x - 5)?
a)
Three times a number minus five
b)
Three times the quantity of a number minus five
c)
Three times the quantity of a number plus five
d)
Three times a number plus five
17.
Which of the following best describes the algebraic expression 6x + 1?
a)
Six times more than the quantity of a number plus one
b)
Six times the quantity of a number plus one
c)
One more than the product of six and a number
d)
One more than the quantity of six and a number
18.
The algebraic expression that best describes the sequence 12, 24, 36, 48... is
a)
x + 12
b)
12x
c)
2x + 12
d)
3x + 2
19.
What is the algebraic expression that describes the monthly salary? Let x be the hours of training. (click on the image to see the table)
a)
10x + 1000
b)
10x + 1100
c)
100x + 10
d)
10x + 100
20.
Which of the following is the algebraic expression that best describes the height, y, if x is the width? (click on the image to see the graph)
a)
y = 2x
b)
y = x - (1/2)
c)
y = x + (1/2)
d)
y = (1/2)x
21.
What is the coefficient in the algebraic expression 7xy2?
a)
7
b)
x
c)
y2
d)
0
22.
How many terms are there in the algebraic expression 2x2 -3y + 5?
a)
2
b)
3
c)
4
d)
5
23.
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
24.
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
25.
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
26.
Which is NOT a word phrase for the algebraic expression.
n + 16
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
27.
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
28.
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)
12+m
d)
m+12
29.
Write an algebraic expression for the word phrase.
six times the daily amount of fiber (f) in your diet
six times the daily amount of fiber (f) in your diet
a)
6f
b)
6+f
c)
6/f
d)
6-f
30.
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
31.
Combine the like terms. Simplify.
2x + x - 4y
2x + x - 4y
a)
2x+x-4y
b)
4x+4y
c)
3x-4y
d)
3x+4y
32.
Combine like terms. Simplify.
11g-9g+8g
11g-9g+8g
a)
10g
b)
9g
c)
2g
d)
11g
33.
Combine like terms. Simplify.
3n – 6mn + 2n
3n – 6mn + 2n
a)
3n-6mn
b)
5n-6mn
c)
5n+6mn
d)
n-6mn
34.
A ______ is a letter which represents an unknown number (quantity).
a)
expression
b)
variable
c)
term
d)
like term
35.
A _____ contains at least one variable, constant, and operation.
a)
term
b)
algebraic expression
c)
like term
d)
quadratic equation
36.
Solve using distributive property.
3(x-6)
3(x-6)
a)
3x+18
b)
3x-6
c)
3x+6
d)
3x-18
37.
Solve using distributive property.
2(x+3)
2(x+3)
a)
2x-6
b)
2x+3
c)
2x+6
d)
2x-3
38.
What are the terms in the expression?
-4x + 6y - 2
-4x + 6y - 2
a)
-4x, 6y, -2
b)
x, y
c)
4x, 6y
d)
-2
39.
What are the constants in the expression?
-4x + 6y - 2
-4x + 6y - 2
a)
-4x, 6y, -2
b)
x, y
c)
4x, 6y
d)
-2
40.
What are the coefficients in the expression?
-4x + 6y - 2
-4x + 6y - 2
a)
-4x, 6y, -2
b)
x, y
c)
4x, 6y
d)
-4, 6
41.
Sunny earns $12, per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday. How much money did Sunny earn this week?
Write your answer as an expression.
Write your answer as an expression.
a)
12 - x + 15
b)
15 - x - 12
c)
12x - 15
d)
15x + 12
42.
Julie saved up $265 then bought a sweater for d dollars.
Write your answer as an expression.
Write your answer as an expression.
a)
265 - d
b)
d - 265
c)
265 - s
d)
s - 265
43.
Marco's mom gave him d dollars for his allowance one week. He also earned $14.55 for his newspaper route that week.
Write your answer as an expression.
Write your answer as an expression.
a)
d - 14.55
b)
14.55 - d
c)
14.55 + d
d)
d + 14.55
44.
Sebastian has 12 more trophies than Megan. Megan has t trophies.
Write your answer as an expression.
Write your answer as an expression.
a)
t + 12
b)
12 + t
c)
t - 12
d)
12 - t
45.
Sarah received $55, for her birthday. She used some of that money to buy 3 shirts priced at m dollars each. How much money does Sarah have left?
Write your answer as an expression.
Write your answer as an expression.
a)
55 - 3m
b)
3m + 55
c)
55 + 3 + m
d)
55m - 3
46.
k friends evenly divided up a 12 slice pizza. One of the friends, Harris, ate 1 fewer slice than he was given. How many slices of pizza did Harris eat?
Write your answer as an expression.
Write your answer as an expression.
a)
12/k -1
b)
k - 1 + 12
c)
k/12 + 1
d)
1 + 12 + k
47.
A large cheese pizza costs $18. Each topping you add on costs $1.50. How much would it cost to get a large cheese pizza with c toppings added?
Write your answer as an expression.
Write your answer as an expression.
a)
c + 18
b)
18 + 1.50
c)
18 + 1.50c
d)
1.50c - 18
48.
Tra'von earns $35 a day working after school at the supermarket. How much will he earn in d days?
Write your answer as an expression.
Write your answer as an expression.
a)
35 + d
b)
35d
c)
35 - d
d)
d + 35
49.
A pizza delivery driver earns $12 an hour and works h hours per day. He also spends $ 12 a day on gas. How much money will the driver earn in one day.
Write your answer as an expression.
Write your answer as an expression.
a)
12h-12
b)
12 + h + 12
c)
12/h - 12
d)
12h + 12
50.
25 less than a number (n)
Write your answer as an expression.
Write your answer as an expression.
a)
n + 25
b)
25 - n
c)
n - 25
d)
25/n
100 %
