1. Intro to Algebra Brenda Windsor Math 2011

2. Basic Terms =equal to ≠ not equal to > is greater than <is less than multiply ⁄ divided by do whatever is in parenthesis first

3. P.E.M.D.A.S. ?? P – Parenthesis E – Exponents M – Multiply D – Divide A / S – Add / Subtract from Left to Right Please, excuse my dear Aunt Sally! When completing algebraic expressions, remember this sentence to complete the operations in order.

4. Let’s Practice 1.8(7) + 6 = ______ 2.18/3 + 2 = ______ 3.47 – 5(3) = ______ (remember, multiply then subtract! 4.(5+2) 7 = _____ (remember, parenthesis then multiply. 5.42 + (18/6) = _____

5. Let’s Practice 1.8(7) + 6 = __62____ 2.18/3 + 2 = __8____ 3.47 – 5(3) = __32____ 4.(5+2) 7 = ___49__ 5.42 + (18/6) = __45___

6. Algebra Structure We probably all did the work in our head. However, when we are working in algebra, we need to show ALL of the steps… 8(7) + 6 = ______ 56 + 6 62 Each step is completed on the next line below the first. We have to show EACH step as we complete the problem.

7. Showing the Work 18/3 + 2 = ______ 6 + 2 8

8. Showing the Work 47 – 5(3) =

9. Show the Work (5+2) 7 =

10. Show the Work 42 + (18/6) Notice, the = sign has been removed. Often times we see algebra expressions written this way. You would continue to solve as before showing all of your work.

11. Pre-Algebra Day 2 1.Review terminology 2.Using worksheet #5 – finish any problems left from day #1. 3.Go over answers. 4.Pass out worksheet #6 for homework. 5.Introduce new material.

12. What are Negative Numbers? Imagine being on an elevator and the ground floor is 0. If you go below ground, you are negative. If you go up, you are positive.

13. Negative Numbers Start at 1 and take away 4 where do you end up? 1 – 4 = -3

14. Negative Numbers Start at -1 and add 5 where do you end up? -1 + 5 = 4

15. Negative Numbers 0 – 3 = -3 -1 + 5 = 4

16. Negative Numbers What is the problem represented on this number line?

17. Negative Numbers What is the problem represented on this number line? - 2 + 5 = ?

18. Negative Numbers What is the problem represented on this number line? - 2 + 5 = 3

19. Negative Numbers 1.25 – 5 = (no number line needed) 2.5 – 25 = 3.13 – 8 = (no number line needed) 4.8 – 13 =

20. Negative Numbers 5. 10 – 7 = (no number line needed) 6. 7 – 10 = 7. 12 – 9 = (no number line needed) 8. 9 -12 =

21. Pre-Algebra Day 3 1.Go over homework. 2.Review problems from Day 2. 3.Hand out homework. 4.Introduce new material.

22. Introducing the Variable A variable is a letter that replaces a value. 23 + n = 25 n = 2

23. What Happens to One Side Must Happen to the Other! n – 7 = 27 How would we figure the value of n? We would need to add 7 to both sides of the = sign.

24. What Happens to One Side Must Happen to the Other! n – 7 = 27 n – 7(+7) = 27 + 7 n – 0 = 34 n = 34

25. What Happens to One Side Must Happen to the Other! n – 12 = 27 n – 12(____) = 27 _____ n – _____ =_____ n = ______

26. What Happens to One Side Must Happen to the Other! n – 21 = 27 n – 21(_____) = 27 ______ n – _____ = ______ n = ________

27. What Happens to One Side Must Happen to the Other! n – 18 = 35 n – 18(______) = 35 _______ n – ______= _____ n = ______

28. What Happens to One Side Must Happen to the Other! n – 5 = 35

29. What Happens to One Side Must Happen to the Other! n – 18 = 27

30. What Happens to One Side Must Happen to the Other! n – 15 = 56

31. What Happens to One Side Must Happen to the Other! n – 9 = 50

32. What Happens to One Side Must Happen to the Other! n – 13 = 55