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Algebra 1 7-8 Geometric Sequences

4.5 (1 rating)

| 30 Questions

Note from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

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1

10 pts

Solve It! Imagine working part time at a clothing store. Each week a coat doesn't sell, its price is marked down 20%. What will the sale price for the coat be after three weeks of not selling? Enter the dollar amount in this form: $71.23

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2

10 pts

Problem 1 Got It?

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B

C

D

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3

10 pts

Problem 1 Got It?

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B

C

D

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4

10 pts

Problem 1 Got It?

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B

C

D

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5

10 pts

Problem 1 Got It?

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B

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D

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6

10 pts

Problem 2 Got It?

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D

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7

10 pts

Problem 2 Got It?

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B

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D

8

10 pts

Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence.

9

10 pts

Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence.

10

20 pts

Problem 4 Got It? A geometric sequence has an initial value of 2 and a common ratio of 3. Write a function to represent the sequence. Graph the function. Include all relevant graph detail.

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11

10 pts

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D

12

10 pts

Is the following a geometric sequence? If so, find the common ratio.

Write your answer in one of these formats: "yes; 1/2" or "no"

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13

10 pts

A

B

C

D

14

10 pts

Vocabulary Review: Write the ratio in simplest form.

Use this format: 1/2

15

10 pts

Extend the sequences on the canvas.

16

10 pts

Error Analysis: A friend provides the following recursive formula for the geometric sequence 1, -1, 1, -1, 1, ...

Explain your friend's error and give the correct recursive formula for the sequence.

17

10 pts

Critical Thinking: Describe the similarities and differences between arithmetic and geometric sequences.

18

10 pts

Review Lesson 2-10: The value 25 is increased by 50%. What is the new value? Enter only an exact decimal for your response.

19

10 pts

Review Lesson 2-3: Match each solution with the appropriate equation(s).

- 3x + 7 = 2x - 1Answer by dragging items here
- x รท 2 + 5 = -x + 2Answer by dragging items here
- 4(x - 3) = 20 + 2xAnswer by dragging items here
- x + -8 = 2xAnswer by dragging items here

20

10 pts

Review Lesson 2-10: A price changes from $40 to $70. What is the percent change?

175%

75%

133%

43%

21

10 pts

Review Lesson 1-8: Simplify the expression.

Include a space on each side of operation symbols in your response.

22

10 pts

Review Lesson 1-8: Simplify the expression.

Include a space on each side of operation symbols in your response.

23

10 pts

Review Lesson 1-8: Simplify the expression.

Include a space on each side of operation symbols in your response.

24

10 pts

Review Lesson 4-7: Write the recursive and explicit formulas for each arithmetic sequence.

0, 9, 18, 27,...

5, 3, 1, -1,...

-7, -3, 1, 5,...

25

10 pts

Vocabulary Review: Complete the sentence.

- To write a ratio in simplest form, divide the numerator and denominator by their __?__.Answer by dragging items here

26

10 pts

Vocabulary Review: Write the ratio in simplest form.

Use this format: 1/2

1/4

1/2

3/4

4/3

27

10 pts

Vocabulary Review: Write the ratio in simplest form.

Use this format: 1/2

28

10 pts

Vocabulary Review: Write the ratio in simplest form.

Use this format: 1/2

29

10 pts

Use Your Vocabulary: Identify the starting value and common ratio for each geometric sequence.

- 2, 4, 8, 16, 32,...Answer by dragging items here
- 1, -1, 1, -1, 1,...Answer by dragging items here
- 1, 5, 25, 125, 625,...Answer by dragging items here
- -2, 4, -8, 16, -32,...Answer by dragging items here

30

10 pts

Reflection: Math Success

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