1. 1. What is the solution of 2b + 3b + 6 = 21? 2. Verify that the solution to the equation below is correct. Then justify each step that was used to solve the equation. (Example of step used might be distribution, simplification, addition, multiply, etc.) 8m + 6m − 12 = 72 – Step Used:2a) _________________ 14m − 12 = 72 – Step Used:2b) _________________ 14m = 84 – Step Used:2c) _________________ m = 6 – Step Used:2d) _________________

2.  Start Literal Equations  Assignment  Ticket Out  First holiday, Monday, September 7 th Labor day – No School

3. WWhen solving an equation, the goal is to get the variable by itself. AAddition and Subtraction are inverse operations. (opposites) MMultiplication and Division are inverse operations. (opposites)

4. TThe equation is like a balance scale. Whatever you do to one side of the equation must be done to the other side of the equation.

5.  Literal Equation – involves 2 or more variables. The equation is called literal because the coefficients and constants are replaced with letters. Ex: 3x + 2y = 6  This equation can be solved for either x or y. (We will be told which one to solve for).

7. 1. You are ordering pizzas and sandwiches. You have a budget of $80. How many sandwiches can you buy if you buy 4 pizzas? 2. What about 5 pizzas? Explain your answer. Explain it! As the number of pizzas increases, the number of sandwiches decreases.

8.  In the last problem we solved question 1 and 2 by substituting each x into the equation and then solving for y twice, once for each x-variable.  However, if you rewrite the equation first, you only have to isolate y once. Then substitute for x.

9. 1. You are ordering pizzas and sandwiches. You have a budget of $80. How many sandwiches can you buy if you buy 3 pizzas? 2. What about 6 pizzas? Step 2 Step 1 Use the rewritten equation to find y when x = 3 and when x = 6 y= 16 – 2x y= 16 – 2(3) & y= 16 – 2(6) y= 10 y = 4

10.  When you work with literal equations, you can use the methods we have learned to isolate any particular variable.

11.  Solve the equation 4 = 2m – 5n for m. What are the values of m, when n = -2, 0, and 2?

12.  Rewriting literal equations with only variables  When a literal equation contains only variables, treat the variables you are not solving for as constants. https://media.pearsoncmg.com/curriculum/ math/ma_hs16tx_a1te/scos/A0262864/play er.html

13.  What equation do you get when you solve –t = r + px for x?

14. The formula for the Perimeter of a Rectangle is P = 2L + 2W Example: Solve for W P = 2L + 2W – 2L –2L P – 2L = 2W 2 2 P – 2L = W 2 L W