Show:
Vocabulary and Like Terms
Combining (Addition)
Like Terms or Not Like Terms
Combining Like Terms
(Add & Subtract Mix)
Distributive Property
100

In an expression, the work that describes the numbers you add or subtract that are in front of the like terms. Example: 4x + 3x + 3y + 7y

What is the coefficient?

100

8a + 15a + a + 9

What is 24a + 9

100

Like Terms OR NOT Like Terms 3x + 2y + 2xy

Not like terms

100

-7w - 5 + 17w + 15

What is 10w + 10

100

Distribute 2(x+4)

2x+6

200

A symbol, usually a letter of the alphabet, used to represent a quantity that can change.

What is a variable?

200

5x + 35 + 3x + 2

What is 8x + 37

200
Like Terms OR Not Like Terms 3ab + 2a + 7
not like terms
200
19a - 6b - 17a - 3b + 9b - 2a
What is 0
200
Distribute 3(2x-5)
6x-15
300

In the distributive property the operation being performed by the number that is outside the parentheses.

multiplication

300
32 + 12t + 16t + 8
What is 28t + 40
300
Like Terms OR Not Like Terms 3ab + 2ab + 7ba
like terms
300
-2f - 1f - (-6) + 5f
What is 2f + 6
300
Distribute: -4(5x-7)
-20x+28
400

All numbers that are not being multiplied by variable are like terms. What do you call a number not connected to a variable?

Constant

400
6p + 32 + 16p + 2 + 4p
What is 26p + 34
400
Like terms of NOT like terms 3 + 2 -15
like terms
400
-5r + 3q - 8q - r
What is -6r -5q
400
Distribute: -3x(-5-2x)
13x+6x^2
500

In the problem 3(2+5) show that you can solve the problem by using order of operations, OR by distributive property and you will get the same answer either way.

3(7) = 21 3(2) + 3(5) = 6+15= 21

500
m + 20n + 25m + 6n
What is 26m + 26n
500
WHICH Terms are alike 10xxy -3xyx + 3xy - 4yxy
10xxy and -3xyx
500
53t - (-20r) + 17 - 10t
What is 43t + 20r +17
500
Distribute 5x(-2x+4-3y)
-10x^2+20x-15xy