Algebra II

 To identify & describe patterns

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

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

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

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

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

1. InputProcessOutput ∶∶∶ n

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

2. InputProcessOutput ∶∶∶ n

2. InputProcessOutput 1(1) (2) (3) (4) (5) (6) + 28 ∶∶∶ n(n) + 2n + 2

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

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

4. InputProcessOutput ∶∶∶ n

4. InputProcessOutput 14(1) (2) (3) (4) (5) ∶∶∶ n4(n) + 14n + 1

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

5. InputProcessOutput 1–5(1) –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

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

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

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