1. Lesson 106: Solving Two-Step Equations
Objective: Solve equations using two steps

2. Drill
Rupesh earned some money mowing lawns one month. He put half of his money into savings. With the rest, he spent $15 on a new CD, $6 to see a movie, $3 on food, and he still had $24 left. How much money did Rupesh earn mowing lawns that month?
In an intramural basketball game, Annie made 6 points more than Roberto. Roberto made half as many points as Charlie. Charlie made 3 more points than Darla. If Darla made 9 points, how many points did Annie make?

3. Objective - To solve equations involving two steps.
3x + 4 = 16
Hard way
Easy way
3x + 4 = 16
3x + 4 = 16
- Undo Multiplication
or Division first
- Undo Addition or
Subtraction first

4. Hard way
- Undo Mult./
Div. first
Easy way
- Undo Add./
Subt. first
3x + 4 = 16
3x + 4 = 16 3 3
3x = 12 3x 4 16 + = 3 3 3 3 3 4 16
x = 4 x + = 3 3 4 4 - - 3 3 12 x = 3 x = 4

5. Rules for Transforming Equations
1) Goal:
Isolate the variable on one side
of the equation. ISOLATE
2) Always perform the same operation to
both sides of an equation. BALANCE
3) To undo an operation, perform its opposite
operation to both sides of the equation.
INVERSE OPERATION

6. Solve the following equations.

7. Translate the sentence below and solve.
6) Five less than the quotient of x and 2 is 37.

8. Quick Draw for Points! Who is the best at showing their work?
The text is TWO STEP EQUATIONS
You will have seconds for each problem.
Are you ready to prove yourself?

9. Solve the following equations.

10. Translate the sentence below and solve.
5) Eight more than 3 times a number y is the
same as 29.