1. Unit 1 Solving Linear Equations

2. Hatter’s Café Menu Pancakes2.25 Regular Eggs 1.05 Bacon 1.00 Ham 1.00 Toast.25 Juice 1.50 2-2-2 Special 2.22

3. Ticket #1 P + H + J What did the customer order? How do you know that? How much is his order? Pancakes, Ham and Juice P for Pancakes, H for Ham and J for Juice 2.25 +1 +1.50 = $4.75

4. Here are some other orders. What do you think they mean? Ticket #2 S + J + B Ticket #3 2B + E Ticket #4 2H+E+3J Special + Juice + Bacon 2 Bacon + 1 Egg 2Ham + Eggs + 3Juice

5. Some Large Orders: How much would it cost? Ticket #5 2(E + T) Ticket #6 S + 2(B+J) Ticket #7 3(S+J+P) + H 2 orders of (Egg and Toast) 1 Special + 2 orders of (Bacon and Juice) 3 orders of (Special+Juice+Pancackes) + 1Ham

6. Suppose you have $10 to spend. What are some possible orders you can make? Get as close to $10 as possible without going over.

7. “Messed up” orders Ticket #8 (E+J) = $7.65 What was ordered? How many were ordered? How can you tell? orders of (Egg and Juice) 3 orders of (Egg + Juice) __ (1.05+1.50) = 7.65 Substitute into the equation what you know __(2.55) = 7.65 Simplify __= 3 Division Property of equality

8. “Messed up” orders Ticket #9 S +3 = $2.97 What was ordered? What was ordered? How much was it? How can you tell? Special + 3 orders of (___) 1 Special and 3(Toast for $0.25) 2.22 + 3(___) = 2.97 substitute into the equation 3(___) = 0.75 addition property of equality (___) = 0.25 division property of equality

9. “Messed up” orders Ticket #10 E +P = $6.45 What was ordered? How many _____were ordered? How can you tell? __orders of (Eggs) + Pancakes 4 orders of (Egg) + 1 pancake ___(1.05) + 2.25 = 6.45 Substitute ___(1.05) = 4.20 Subtraction property of equality ___ = 4 division property of equality

10. “Messed up” orders Ticket #11 + H + J = $3.55 What was ordered? What was ordered? How many were ordered? How can you tell? __ + Ham + Juice ___ + 1 + 1.50 = 3.55 substitute ___ + 2.50 = 3.55 simplify ___ = 1.05 subtraction property of equality 1 Egg + 1 Ham + 1 Juice

11. Explain in your own way a fool proof way to solve messed up problems like these.

12. How could you solve these equation? 1)2x + 4 = 24 2) 3(x+5) = 21 3)x = 18 6 4) 3x + 2(x+1) = 52 5) -2x = 10 x = 10 x = 108 x = 2 x = -5 x =10

13. More Examples with Explanations http://edweb.tusd.k12.az.us/sklein/Algebra/W EB%20powerpoints/3.1%20Solving%20equati ons%20with%20addition%20or%20subtractio n.pps http://edweb.tusd.k12.az.us/sklein/Algebra/W EB%20powerpoints/3.1%20Solving%20equati ons%20with%20addition%20or%20subtractio n.pps http://edweb.tusd.k12.az.us/sklein/Algebra/W EB%20powerpoints/3.2%20Solving%20equati on%20with%20multiplication%20and%20divis ion.pps http://edweb.tusd.k12.az.us/sklein/Algebra/W EB%20powerpoints/3.2%20Solving%20equati on%20with%20multiplication%20and%20divis ion.pps

14. More Examples http://edweb.tusd.k12.az.us/sklein/Algebra/3. 3%20Solving%20mulitple%20step%20equatio ns.ppt http://edweb.tusd.k12.az.us/sklein/Algebra/3. 3%20Solving%20mulitple%20step%20equatio ns.ppt

15. Solving Literal Equations Solve a formula for one of its variable

16. Formula Vs. Function A function is an equations that relates two variables or quantities. A formula is an equation that relates two or more real-life quantities.

17. Using an Area Formula In other words SOLVE FOR l A=lw 1. Use the formula for the area of a rectangle: 2. Find a formula for l in terms of A and w. ww Now use the new formula to find the length of a rectangle with an area of 35ft 2 and a width of 7 ft.

18. Solving the Formula for F If it is 34 0 C what is the temperature in F 0 ? +32 Plug in 34 for c and solve

19. Using Another Formula: Simple Interest Solve for r. What is my rate for an investment of $1500 if it made $54 in interest for one year?

20. Solving a function for x. Rewrite the equations so that x is a function of y. + y

21. Solve the Distance formula for t

22. Solving a function for y… Rewrite the equation so that y is a function of x. -3x

23. Practice… Solve for b. Solve for h.

24. Practice… Solve for y