1. Linear Equations on One Variable
Multi-Step Equations in one variable
Opening Routine
The second angle of a triangle measures three times as large as the first. If the third angle measures 55° more than the first, find the measures of all three angles.

2. Topic II: Linear Equations in One Variable

3. Linear Equations on One Variable
Justify Each Step Literal Equations
Objective: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
Essential Question: Why is solving literal equations for a particular variable helpful?

4. Linear Equations on One Variable
Justify Each Step Literal Equations
Vocabulary
Equivalent Equations: Are equations that have the same solution. They appear in each step along the process of solving an equation.
Isolate: Getting the variable alone on one side of the equation.
Addition Property of Equality: Adding the same number to each side of an equation to produce an equivalent equation.

5. Linear Equations on One Variable
Justify Each Step Literal Equations
Vocabulary
Subtraction Property of Equality: Subtracting the same number to each side of an equation to produce an equivalent equation.
Inverse operation: Undoes another operation. For example, subtraction is the inverse of addition.

6. Linear Equations on One Variable
Justify Each Step Literal Equations
Vocabulary
Multiplication Property of Equality: Multiplying each side of an equation by the same nonzero number to produce an equivalent equation.
Division Property of Equality: Dividing each side of an equation by the same nonzero number to produce an equivalent equation.

7. Linear Equations on One Variable
Justify Each Step Literal Equations

8. Linear Equations on One Variable
Justify Each Step Literal Equations

9. Linear Equations on One Variable
Justify Each Step Literal Equations

10. Linear Equations on One Variable
Justify Each Step Literal Equations

11. Linear Equations on One Variable
Justify Each Step Literal Equations

12. Linear Equations on One Variable
Justify Each Step Literal Equations
A literal equation is an equation with two or more variables also known as a "formula". To solve a literal equation, as it has more than one variable, the solution consists in solving for a specified variable.

13. Linear Equations on One Variable
Justify Each Step Literal Equations
To solve the literal equation we can use the same properties of solving that we use for any linear equation with one variable. The difference is that our goal here is to get the variable alone on one side, everything else, without the variable, on the other.

14. Linear Equations on One Variable
Justify Each Step Literal Equations
That is to say we want the equation to say “variable = everything else without that variable”. We use all of the same techniques and processes for solving that we have learned so far. It’s just a matter of treating all of the extra variables as you would if they we simply numbers.

15. Linear Equations on One Variable
Justify Each Step Literal Equations
Guided Practice – WE DO

16. Linear Equations on One Variable
Justify Each Step Literal Equations
Independent Practice – YOU DO
Worksheet Justify Each Step and Literal Equations
Exercises

17. Linear Equations on One Variable
Justify Each Step Literal Equations
Homework
Complete Worksheet Justify Each Step and Literal Equations
Exercises

18. Linear Equations on One Variable
Justify Each Step Literal Equations
Closure
Essential Question: Why is solving literal equations for a particular variable helpful?