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Review Simplifying Expressions & Solving Equations

Total questions: 25

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

2.
 A mathematical phrase involving at least one variable and sometimes numbers and operation symbols. 
a)
Variable
b)
Algebraic Expression
c)
Constant
d)
Coefficient
3.
The total amount resulting from the addition of two or more numbers, amounts, or items.
a)
product
b)
quotient
c)
sum
d)
difference
4.
A letter or symbol used to represent a number or quantities that vary
a)
constant
b)
coefficient
c)
variable
d)
term
5.
The result of multiplying two numbers.
a)
quotient
b)
product
c)
sum
d)
difference
6.
A quantity that does not change its value. 
a)
sum
b)
constant
c)
coefficient
d)
quotient
7.
The rules to be followed when simplifying expressions.
a)
algebraic expression
b)
coefficient
c)
order of operations
d)
variable
8.

Leonard wants to write an algebraic

expression for the problem below.

The cost of a shirt is 5 dollars more than

3 times the cost of a hat.

Which expression should Leonard

write if h represents the cost of a

hat in dollars?

a)

3h + 5

b)

5h + 3

c)

3h - 5

d)

5h - 3

9.

Chris gave a clerk $20 to buy 3 wrist

bands costing $w each. The clerk

gave Chris $8 back in change. Which

equation can be used to find the cost

of each wrist band?

a)

8 - 3w = 20

b)

20 - 3w = 8

c)

20 + 3w = 8

d)

3 - 8w = 20

10.

Simplify 2(9 - 6)

a)

3

b)

6

c)

9

d)

12

11.

Simpilyfy:

2(c - 8)


*Hint: distribute

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

12.

Simplify:

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

13.
Simplify the expression:
8(4b - 5)
a)
32b + 40
b)
32b - 40
c)
32(b - 40)
d)
84b - 85
14.

Simplify the expression:

-4(8 + 7k)

a)

-32 - 28k

b)

32 + 28k

c)

12 + 11k

d)

-12 + 11k

15.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
16.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
17.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
18.

Simplify the expression:

a + a + a + a

a)

a + 4

b)

4a

c)

a to the fourth power

d)

4a + 4

19.

Simplify the expression:

-6k + 7k

a)

k

b)

-k

c)

12k

d)

-12k

20.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
21.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
22.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
23.

Solve the equation:

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

24.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
25.

Solve the equation:

26 = 5a + 1

a)

a= 5 45

b)

a= no solution

c)

a= 0

d)

a= 5