Transcript Solving Two-Step Equations

Solving Two-Step Equations
Rice/Bise
What is a Two-Step Equation?
An equation written in the form
Ax + B = C
Examples of Two-Step Equations
a) 3x – 5 = 16
b) y/4 + 3 = 12
c) 5n + 4 = 6
d) n/2 – 6 = 4
Steps for Solving
Two-Step Equations
1. Add or Subtract
2. Multiply or Divide
Inverse/Opposite
Operations
Addition  Subtraction
Multiplication  Division (Multiply
by the reciprocal
if it is a fraction)
Helpful Hints?
Identify what operations are in the
room with the variable. (Add, Sub,
Mult, Div)
“Undo” the operation by using inverse
operations.
Whatever you do to one side, you
must do to the other side to keep
equation balanced.
Ex. 1: Solve 4x – 5 = 15
4x – 5 =
+5
4x
=
4
x=5
15
+5 (Add 5 to both sides)
20 (Simplify)
4 (Divide both sides by 4)
(Simplify)
Try This Example
1. 2x – 5 = 17
Ex. 2: Solve x/3 + 4 = 9
x/3 + 4 = 9
-4 -4
x/3 = 5
(Subt. 4 from both sides)
(Simplify)
(x/3)  3 = 5  3 (Mult. by 3 on both sides)
x = 15
(Simplify)
Try this example!
2. c/7 + 4 = 9
Sage and Scribe Procedures
• Partner A starts with problem one. They are
the hand. They write only what they are
told to write.
• Partner B starts by being the voice. They
need to explain the problem to A as A
writes it down.
• When the problem is complete give positive
reinforcement and switch jobs!
• This may get frustrating but try to stick to
the rules.