MODULE REVIEW #1
MODULE REVIEW #2
Adding and Subtracting Linear Expressions
Distributive Property/Additive Inverse
100
Expand the expression 3(5p+1) using the Distributive Property.
15p+3
100
What is the GCF of 8w and 4w?
4w
100
(5x+8)+(3x+5)
8x+13
100
Find the additive inverse of (-5x+6)
5x-6
200
What is the expression −2(3x+5)+1+4x written in simplest form?
-2x+-9
200
What is 14ab+10a written in factored form?
2a(7b+5)
200
(-5x+3)+(8x-5)
3x-2
200
Find the additive inverse of 9x-10
-9x+10
300
The music club is selling tickets for an upcoming performance. They are also accepting donations. The table below shows the ticket sales and donations from the past 2 weeks. In each expression, t represents the price of a ticket to the show.
Week Ticket Sales and Donations
1 23t+50
2 17t+35
Write an expression, in simplified form, that represents the total donations and proceeds from ticket sales over the 2 week period.
40t+85
300
Complete each step to show how to simplify
3(n – 2)+12 and express the result in factored form.
Step 1
Use the Distributive Property.
Step 2
Combine like terms
Step 3
Write in factored form
1. 3n-6+12
2. 3n + 6
3. 3(n+2)
300
(5x+7)-(3x+5)
2x+2
300
Simplify using distributive property:
5(3x-4)
15x-20
400
A triangle has the side lengths shown.
1. Write an expression in simplest form that represents the perimeter of the triangle.
2. Also find the perimeter if x=2.
1. 9x+30
2. 48
400
The expressions in the table represent how many laps two friends walked during a walk-a-thon fundraiser.
Student Laps Walked
Lydia 4n – 3
Horatio 2n + 5
Write an expression that shows the difference between the number of laps walked by Lydia and the number of laps walked by Horatio.
If n = 6, how many more laps did Lydia walk than Horatio?
1. 2n-8
2. 4 laps
400
(5x+8)-(-3x-5)
8x+13
400
Simplify using distributive property:
8(8x-20)
64x-160