Vocabulary
What are like terms?
Variable Terms with the same variable and exponents
or
Constants with other constants
Solve: -36 = 12 + x
One solution
x = -48
Solve: - 4x + 4 = - 12
x = 4
Solve: 5(x - 3) = 20
x = 7
Solve: 4x + 4 = 7x - 8
4 = x
What is a variable?
A variable is a letter that represents an unknown number
Example: x, t, y
Solve: 12+ x = x - 7
No solution
Solve: 48 = 8 + 4a
10 = a
Solve: 2(x + 4) = 22
x = 7
Solve: 7x - 5 = 3x + 15
x = 5
What is a coefficient?
The number in front of a variable.
Solve: 6f + 10 = 2f + 4f + 10
Infinite solutions
Solve: a/4 = 6 + 5
a = 44
Solve: 35 = - (7 - x)
42 = x
Solve: -x + 36 - 7x = 7x - 9
3 = x
Fill in the blank:
When a number is added to it's ___________ it always equals zero.
inverse
Solve: -12 + 4a = a +4(a-3)
One solution
0 = a
Solve: 6 + a/5 = 0
a = - 30
Solve: 3b - 2(b - 8) = 38
b = 22
Solve: - 4x + 22 - x = 47 - 4x
- 25 = x
This property means what you do to one side of the equation you must do to the other side of the equation.
Property of Equality
Solve: 36 = - 6/7y
One solution
-42 = y
Solve: 11 + a/12 = 13
a = 24
Solve: 7 = 2y - 4(2 + y) + 3y
15 = y
Solve: 2(x - 3) + 5x = - 12 - 8x + 12x
x = - 2