Variable- a letter that represents a number in an equation or expression.
Expression- a pattern which has many possible answers. ex. 2x
Equation- Only has one possible answer. ex. 2x=6
Constant- The integer in an algebraic expression or equation
One Step Equations
1. Isolate the variable
2. Cancel using the opposite operation
- make a zero pair with the constant
3. Balance the equation
4. Verify
Two Step Equations
1. Isolate
2. Cancel constant
3. Balance
4. Simplify variable
5. Balance
6. Verify
Multiplication:
2x + 1 = 5
2x + 1 - 1 = 5 - 1
2x/2 = 4/2
x = 2
2x + 1 = 5
2(2) + 1 = 5
4 + 1 = 5
5 = 5
Inspection:
x/2 + 5 = 9
x/2 + 5 - 5 = 9 - 5
2x/2 = 4(2)
x = 8
Verify:
x/2 + 5 = 9
8/2 + 5 = 9
4 + 5 = 9
9 = 9
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