Combining Like Terms
3x + 2x - 7
5x - 7
When you see parenthesis around a number sentence, what does this mean?
Ex: (2x + 2)
It represents a group!
Create an expression to represent this visual:
x x x 1 1 1 x 1
3x + 3 + x + 1 OR 4x + 4
What is a 'product'?
The answer when we multiply
True or False: The following two expressions are equivalent
3x + 2 = 1x + 2 + 2
False!
3x + 2 does not equal 1x + 2 + 2
7x + x + 5 - 3
8x + 2
When you see the following number sentence, what does it mean? Translate it to "English language"
3 (x + 1)
Three groups of x + 1
or
(x +1) (x+1) (x +1)
or
3x + 3
Create an expression:
Mrs. Howe has 4 x peices and 51 pieces.
4x + 51
Explain 'equivalent expressions' in your own words.
two number sentences/expressions that mean the same thing but look different
True or False: The following expressions are equivalent.
2x + 2x + 3 + 1x = 5x + 3
True!
2x + 2x + 3 + 1x = 5x + 3
Combine like terms to make this number sentence as simple as possible!
3x + 5x + 1 + 8x
16x + 1
Expand this number sentence using the distributive property or your algebra tiles.
3 (x + 4)
3(x +4) = 3x + 12
X X X X 1 1 1 1 1
must have 4 x's and 5 1's
Describe the distributive property in your own words:
When you multiply the number on the outside of the parenthesis by every term inside the parenthesis.
Create an equivalent expression:
3x + 4 + 5x + 6
Many combinations!
Sentence must include 8 x's and 10 1's
Combine like terms to make this number sentence as simple as possible!
4x - 2 - 3x + 10
1x + 8
Expand the following number sentence using the distributive property or algebra tiles.
2 (x - 5)
2(x-5) = 2x -10
10x + 2x
must total 12 x's
Describe what it means to "simplify" in your own words:
To make a number sentence as small as it can be by combining like terms!
Create an equivalent expression:
2(x - 3) + 2
2x -6 +2 or 2x -4
Combine like terms to make this number sentence as simple as possible.
5 + 2 + 3x - 1 + 10x - 1 + 10x
5 + 23x
Expand the following number sentence using the distributive property or algebra tiles.
3 (2x + 2) + 3
3 (2x + 2) + 3 = 6x + 6 + 3 or 6x + 9
A room has a length of 5 + x and a width of 10. Create an expression for the area.
10 (5 + x)
What does "like terms" mean?
Terms that can be combine together! X's or variables go together and regular numbers go together.
Create an equivalent expression:
3(2x + 5) + 4
3(2x + 5) + 4 = 6x + 15 + 4 OR 6x + 19