1. Algebra 1 Unit 1 Review

2. A basic tree fractal is shown. Stage 0 Stage 1Stage 2 Complete the table. Stage 3 Write a recursive rule to describe the pattern of branches added. Stage# of branches added 01 12 2 3 4 Algebra 1 – Unit 1 Review

3. ANSWER A basic tree fractal is shown. Stage 0 Stage 1Stage 2 Complete the table. Stage 3 Stage# of branches added 01 12 24 38 416 Write a recursive rule to describe the pattern of branches added. Start with 1, then double for each successive stage. Algebra 1 – Unit 1 Review

4. A basic tree fractal is shown. Stage 0 Stage 1Stage 2 Is this pattern arithmetic or geometric? Stage 3 Write an explicit rule for the number of branches, b, added in each stage, n. Stage# of branches added 01 12 24 38 416 Algebra 1 – Unit 1 Review

5. ANSWER A basic tree fractal is shown. Stage 0 Stage 1Stage 2 Is this pattern arithmetic or geometric? Stage 3 Write an explicit rule for the number of branches, b, added in each stage, n. Stage# of branches added 01 12 24 38 416 geometric b = 2 n Algebra 1 – Unit 1 Review

6. Bob the biologist counted the fish population over a period of time in two different ponds. Complete each table. Write a recursive rule for each population. Apricot Pond Year012345 # of fish100400700 Great Grape Pond Year012345 # of fish2060180

7. ANSWER Algebra 1 – Unit 1 Review Bob the biologist counted the fish population over a period of time in two different ponds. Complete each table. Write a recursive rule for each population. Apricot Pond Year012345 # of fish100400700100013001600 Great Grape Pond Year012345 # of fish206018054016204860 Apricot Pond: start at 100, then add 300 for the next year. Great Grape Pond: start at 20, then triple for the next year.

8. Owen sells ornamental owls. He ships all sizes of his carefully crafted birds of prey. The cost to ship one depends on its weight. His shipping company charges him a base fee of $5.00, then an additional $0.50 for each additional pound. Using c for cost and w for weight, write an explicit rule for the total cost. How much would it cost to ship a 25 lb owl? Algebra 1 – Unit 1 Review

9. ANSWER Algebra 1 – Unit 1 Review Owen sells ornamental owls. He ships all sizes of his carefully crafted birds of prey. The cost to ship one depends on its weight. His shipping company charges him a base fee of $5.00, then an additional $0.50 for each additional pound. Using c for cost and w for weight, write an explicit rule for the total cost. How much would it cost to ship a 25 lb owl? c = 5 + 0.5w c = 5 + 0.5(25) = $17.50

10. Katee is decorating her math binder with stickers. She starts with a center square, then adds stickers around all the edges. Stage 1 Stage 2Stage 3 Stage 4 Stage# of stickers added # of total stickers 144 2 3 4 Is the number of stickers added an arithmetic sequence, geometric sequence, or neither? Is the number of total stickers an arithmetic sequence, geometric sequence, or neither? Algebra 1 – Unit 1 Review

11. ANSWER Katee is decorating her math binder with stickers. She starts with a center square, then adds stickers around all the edges. Stage 1 Stage 2Stage 3 Stage 4 Stage# of stickers added # of total stickers 144 21216 32036 42864 Is the number of stickers added an arithmetic sequence, geometric sequence, or neither? Is the number of total stickers an arithmetic sequence, geometric sequence, or neither? Algebra 1 – Unit 1 Review