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FSA Review - Simplifying Algebraic Expressions

Total questions: 29

Worksheet time: 36mins

Name
Class
Date
1.

The number in front of a variable telling the mathematician how much to multiply the variable by is called the...

a)

Term

b)

Constant

c)

Coefficient

d)

Expression

2.

A number with no variable is called a...

a)

Coefficient

b)

Constant

c)

Term

d)

Expression

3.

These have the the same variable and can, therefore, be combined...

a)

Expressions

b)

Distributive Property

c)

Additive Inverse

d)

Like Terms

4.

Expressions are made up of these...

a)

Variables

b)

Operations

c)

Terms

d)

Distributive Property

5.

Two thirds of students in a class study math and the remaining eight students do not study math. What is the total number of students in this class?

(a)  

6.

There are q packets in a large bag and r biscuits in each packets. What is the total number of biscuits in 2 bags?

(a)  

7.

There are r rows of chairs with 7 chairs in each row. Choose the expression that shows the number of chairs in total.

a)

7r

b)

7/r

c)

r-7

d)

r+7

8.

Kenneth has g gumballs. Maggie has 29 fewer gumballs than Kenneth. Choose the expression that shows how many gumballs Maggie has.

a)

g+29

b)

g-29

c)

29g

d)

g ÷ 29

9.

A cell phone company charges $40 per month plus a $35 activation fee. What is the expression for the total cost for m months?

a)

40 - 35m

b)

40m - 35

c)

40m + 35

d)

40 + 35

10.

Translate this sentence into an equation.

72 is the product of 8 and Steve's age.

Use the variable h to represent Steve's age.

a)

72 = 8 + h

b)

72 = 8h

c)

72 = 8 - h

d)

72 = 8/h

11.
Strawberries are $1.95 a pound. Write an expression for p pounds of strawberries. 
a)
$1.95+p
b)
$1.95-p
c)
$1.95/p
d)
$1.95p
12.
The number of Doritos is twice as much as the number of Hot Cheetos. If there are 12 Hot Cheetos, how many Doritos are there?
a)
6 Doritos
b)
24 Hot Cheetos
c)
14 Doritos
d)
24 Doritos
13.
Maddie and Ben played mini golf at Boomers. The number of holes that Maddie won was 1 less than twice the number of holes that Ben won. If Ben won 5 holes, how many did Maddie win?
a)
8 holes
b)
4 holes
c)
2 holes
d)
9 holes
14.
Translate the statement into an equation:
Five less than a number is 6
a)
n - 5 = 6
b)
5 - n = 6
15.

Translate this sentence into an equation.

72 is the product of 8 and Steve's age.

Use the variable h to represent Steve's age.

a)

72 = 8 + h

b)

72 = 8h

c)

72 = 8 - h

d)

72 = 8/h

16.

Translate this phrase into an algebraic expression:

Triple a number increased by 16

a)

3(16) + n

b)

16n + 3

c)

3n + 16

d)

2n - 16

17.
Five less than twice a number is equivalent to 47. 
a)
5 - 2x = 47 
b)
2x - 5 = 47 
c)
5x - 2 = 47 
d)
2 - 5x = 47 
18.
How many terms are in the expression below:
3x - 6 + 4b + 5 + 7 - 2x
a)
five
b)
eight
c)
six
d)
nine
19.
5 less than the product of 7 and s
a)
7s - 5
b)
5 - 7 + s
c)
7(s - 5) 
d)
5 - 7s
20.
Find the difference (2x + 5) − (x + 4).
a)
x + 1
b)
3x + 9
c)
−x + 1
d)
x + 9
21.

Ms. Carmean simplified the expression 3(2x-4) - 3 to 6x -7. Is she correct?

a)

Yes

b)

No

22.

Which expression is equivalent to

3x + ½(-12x - 16)

a)

-21x + (-32)

b)

9x + 8

c)

-3x - 8

d)

-6x - 8

23.

Rhonda was organizing photos in a photo album. She took 60 photos and divided them evenly among p pages. Which algebraic expression represents the number of photos on each page?

a)

p / 60

b)

60 / p

c)

60 + p

d)

60p

24.

Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of tickets for a group of people. Let n represent the number of people in the group. What are the important parts of this problem that can help you write an algebraic expression?

a)

The aquarium is a fun place to go.

b)

Tickets cost $27 per person

c)

n stands for the number of people in the group

d)

I am trying to find the total cost of tickets for the whole group

e)

This is an algebra problem.

25.

Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of tickets for a group of people. Let n represent the number of people in the group.

a)

27 + n

b)

27n

c)

27/n

d)

27 - n

26.

Kelly has some money she has already saved. After mowing two lawns on Saturday, she adds $40 to her savings. How much money has Kelly saved altogether? Let s represent the amount of money she already has in savings.

a)

s + 40

b)

40s

c)

40 - s

d)

40/s

27.

Tyrell has a sister that is y years younger than him. If Tyrell is 12 years old, how old is his sister? Which algebraic expression could be used to find the age of Tyrell's sister?

a)

y - 12

b)

12 / y

c)

12 + y

d)

12 - y

28.
Five times Connor's age increased by 9
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
29.
Keira is creating a rectangular quilt and the length is equal to five inches less than the width. The perimeter is 30 inches. What are the dimensions of the quilt
a)
width = 10 and length = 5
b)
Width = 5 and length = 10
c)
Width = 5 and length = 30
d)
Width = 30 and length = 5