Distributing
4 (5x + 12)
20x + 48
12g + 5b - 6g
6g + 5b
What is a variable?
A letter that represents a number
X + 26 = 5
X = -21
x > 12
What does this say?
Is the circle on the number line filled in?
x is greater than 12
No
-8 (7 – 9x + 15)
-56 + 72x - 120
or
72x - 176
19 + 4d – 14 + 4d
8d + 5
What is a term?
Anything in between a + or - sign
-51 + x = -12
X = 39
X >= 12
X is greater and equal to 12
Yes
8 (2x + 14) - 17
16x + 112 - 17
or
16x + 95
6x + 11 + 9y – 6 + 8x
14x + 5 + 9y
What are the 2 ways terms are alike?
1. They both have the same variable
2. They both have no variable
6x + 7 = 67
X = 10
X <= -6
What does this say?
Is the circle on the number line filled in?
X is less than and equal to -6
Yes
11x + 5 (6x – 3)
11x + 30x - 15
or
41x -15
-3f + 18 + 16f + 2g - 10
13f + 8 + 2g
Distribute, Combine like terms, solve for X
3x + 4 ( -x + 19 ) = 85
x= -9
. -10 - 5x = 25
X = -6
X <= 15
What does this say?
Is the circle on the number line filled in?
X is Less than and equal to 15
Yes
4 (3x – 12) + 6 (5x + 4)
12x - 48 + 30x + 24
or
42x - 24
11x – 19x + 15 + 14y – 6y - 12
-8x + 3 + 8y
Solve for X
38 + 7x = 8(x + 4)
x = 6
12x + 10 - 7x = 65
X = 11
What does this say?
Is the circle on the number line filled in?
X is greater than or equal to 0
Yes