1. Algebra II

2.  To identify & describe patterns

3.  Constants – quantities whose values do not change  Variable Quantities – quantities whose values change or vary

4.  Variable – a symbol, usually a letter, that represents one or more numbers. Ex: nx

5.  Numerical expression – mathematical phrase that contains numbers & operation symbols Ex: 3 + 5(8 – 2) + 5

6.  Algebraic expression – mathematical phrase that contains one or more variables. Ex: 3n + 5(8x – 2) + 5n

7.  Tables are a convenient way to organize data & discover patterns Process/Work Input Output

8. 1. InputProcessOutput 10 21 32 43 5 6 ∶∶∶ n

9. 1. InputProcessOutput 1(1) – 10 2(2) – 11 3(3) – 12 4(4) – 13 5(5) – 14 6(6) – 15 ∶∶∶ n(n) – 1n – 1

10. 2. InputProcessOutput 13 24 35 46 5 6 ∶∶∶ n

11. 2. InputProcessOutput 1(1) + 23 2(2) + 24 3(3) + 25 4(4) + 26 5(5) + 27 6(6) + 28 ∶∶∶ n(n) + 2n + 2

12. 3. InputProcessOutput 1–3 2–6 3–9 4–12 5 ∶∶∶ n

13. 3. InputProcessOutput 1–3(1)–3 2–3(2)–6 3–3(3)–9 4–3(4)–12 5–3(5)–15 ∶∶∶ n–3(n)–3n

14. 4. InputProcessOutput 15 29 313 417 5 ∶∶∶ n

15. 4. InputProcessOutput 14(1) + 15 24(2) + 19 34(3) + 113 44(4) + 117 54(5) + 121 ∶∶∶ n4(n) + 14n + 1

16. 5. InputProcessOutput 12 2–3 3–8 4–13 5 ∶∶∶ n

17. 5. InputProcessOutput 1–5(1) + 72 2–5(2) + 7–3 3–5(3) + 7–8 4–5(4) + 7–13 5–5(5) + 7–18 ∶∶∶ n–5(n) + 7–5n + 7

19. # of Platys ProcessTotal Cost 0$0 1$2 2$4 3$6 ∶∶∶ 10 n

20. # of Platys ProcessTotal Cost 02(0)$0 12(1)$2 22(2)$4 32(3)$6 ∶∶∶ 102(10)$20 n2(n)$2n

21.  0.7  1/20  1.25  3.175  70%  5%  125%  317.5%  0.05