Two-Step Equations
3x = 27
x = 9
Simplify: 3(x + 4)
3x + 12
Evaluate: - 6 + 10
4
The number multiplied by a variable, such as the 4 in 4x.
Coefficient
Solve: x + (- 12 ) = 5
x = 17
Solve: x + 7 = 15
x = 8
Simplify: 5(2x - 3)
10x - 15
Evaluate: 8 -13
-5
A letter or symbol that represents an unknown number.
Variable
Solve: 5 -3x = - 16
x = 7
Solve: 2x + 5 = 19
x = 7
Simplify: - 2(x + 6)
-2x - 12
Evaluate: -7 - 2 + 5 + 7
3
The property used to rewrite 3(x + 2) as 3x + 6
Distributive Property
Simplify, then solve: 2(x + 3) - 4 = 10
x = 4
Solve: 22 = 5x - 8
6
12x - 18
Evaluate: ( -3 ) + ( 2 ) - 1 + 1 + 3 - 2
0
The operation used to undo addition or subtraction in an equation.
Inverse Operation
A temperature was - 8 degrees. It rose 3 degrees each hour for 6 hours. Write and evaluate an expression to find the final temperature.
- 8 + 3( 6 ) = 10 degrees
Solve: - 4x + 9 = 29
x = - 5
Simplify: - 3(2x - 7) + 5x
- x + 21
Evaluate: - 5 + 12 - 9 + (- 6)
-8
In 4x - 7 = 17, this is the number being added or subtracted without a variable.
Constant
Solve: - 2(3x - 4) + 5 = - 25
x = 3