1. Algebra I Unit 2 Lesson 3

2. Solve for x

3. Objectives SWBAT set up and solve equations given word problems. SWBAT rearrange literal equations and formulas in terms of a specific solution.

4. Linear Equations

5. What is a Linear Equation? A linear an equation between two variables that gives a straight line when plotted on a graph. A linear equation is special because: It has one or two variables. No variable in a linear equation is raised to a power greater than 1 If you plot the pairs of values that make the linear equation true, all of the points for any one equation will form a straight line

6. Linear Equations and Relationships A linear equation with two variables describes a relationship in which the value of one of the variables depends on the value of the other variable. Where x is the independent variable and y is the dependent variable.

7. Is This a Linear Equation? Yes-Raise Open Hand No-Raise Closed Fist

8.  Now how do we go about turning words into an equation so that we can solve it?

9. How to Set-Up Solve Step 1. What do we need to know? Let x represent the unknown variable Step 2. Set up the equation Step 3. Use Inverse PEMDAS and Inverse Operations in order to isolate variable Step 4: Is this a reasonable solution? Why or Why not? Step 5: Label solution Step 6: Check your answer using substitution.

10. Guided Practice We Do: You Do: We Do:

11. Linear Equations-Independent Practice

12. Do Now – Write the linear equation and solve for the questions below Two containers, Container A and container B are cracked and are dripping water. Container A has 800 ml of water, and is leaking at a rate of 6 ml per minute. Container B has 1000 ml, and is leaking at a rate of 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water? How much water will be inside of the containers?

13. Linear Equations The cost to purchase a song from iTunes is $1 per song. To purchase a song from Billboard, you must be a member. The Billboard membership fee is $10. In addition, each purchased song costs $0.50. How many downloaded songs, d, must be purchased for the monthly price of Billboard to be the same as iTunes? How many songs would you have downloaded?

14. Linear Equations A ten inch candle and a twenty-five inch candle are lit at 6pm. The 10 inch candle burns 0.5 inches every hour. The 25 inch candle burns two inches every hour. At what time will the two candles be the same height? How tall will the candles be? Let h represent the number of hours.

15. Literal Equations

17. What is a literal equation? A literal equation is an equation that contains more than one variable. A literal equation is an equation that contains more than one variable. When you solve a literal equation, you are rearranging the equation to isolate a variable. When you solve a literal equation, you are rearranging the equation to isolate a variable. For Example: For Example: XY = 6Z Solve for Y XY = 6Z Solve for Y 6a +8c =d Solve for d 6a +8c =d Solve for d

18. Guided Practice 1.gh = m for g 2.3x - 6y = 17 for x. 3.ax + b = c for x 4.ab + cd = g for c 6. ab + cd = g for a

19. You Try! 1.P= IRT for T 2.A= 2(L + W) for W 3. y= 5x - 6 for x 4. 2x +3y = 8 for y

20. Applications of Literal Equations

21. l = 16ft. The perimeter of my living room rug is 57 ft. Calculate the width.

22. The area A of a triangle is given by the formula A = ½bh where b is the base and h is the height. h b Use formula from a. to find the height of the triangle shown, which has a base of 5cm and an area of 50cm. b. Solve the formula for the height h. a.

23. You are visiting a foreign country over the weekend. A local website tells you that the weather will be 30⁰C on Saturday and Sunday. Should you pack a winter coat or should you pack a bathing suit for your trip? 9 5 = The formula for Celsius is: C(F - 32).

24. Literal Equations Independent Practice

25. Exit Ticket Literal Equations Linear Equations