Algebra 1 8-4 Complete Lesson: Multiplying Special Cases

4.5 (1 rating)

by Matthew Richardson

| 32 QuestionsNote 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.

1

1

10 pts

Solve It! You are making square invitations for a party. You start with a piece of paper with 6-in. sides. You reduce both its length and its width by x, as shown. What is the area of the invitation? Use the math panel to input your response in standard form. Do not add spaces when using the math input panel.

2

2

10 pts

Problem 1 Got It?

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D

3

3

10 pts

Problem 1 Got It?

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C

D

4

4

10 pts

Problem 2 Got It? In Problem 2, suppose the brick walkway is 4 ft wide. What is the area?

5

10 pts

Problem 3 Got It? What is 85²? Use mental math. Enter only a number.

6

10 pts

Problem 3 Got It? Reasoning: Is there more than one way to find 85² using mental math? Explain your reasoning.

7

7

10 pts

Problem 4 Got It?

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D

8

8

10 pts

Problem 4 Got It?

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9

9

10 pts

Problem 4 Got It?

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10

10

10 pts

Problem 5 Got It?

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11

11

10 pts

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12

12

10 pts

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13

13

10 pts

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C

D

14

14

10 pts

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D

15

5 pts

What rule would you use to find the product?

The Product of a Sum and Difference

The Square of a Binomial

16

5 pts

What rule would you use to find the product?

The Product of a Sum and Difference

The Square of a Binomial

17

5 pts

What rule would you use to find the product?

The Product of a Sum and Difference

The Square of a Binomial

19

10 pts

Review Lesson 8-3: Match each polynomial with its factored form.

- (3x + 2)(2x - 5)
- (x - 1)(6x - 7)
- (x + 9)(5x + 8)

20

10 pts

Review Lesson 2-10: Label each situation with its percent change and as an increase or decrease. Some labels will not be used.

- increase
- decrease
- percent change: 25
- percent change: 12.5
- percent change: 125
- percent change: 75
- percent change: 50

- $4 to $3
- 4 ft to 5 ft
- 12 lb to 15 lb
- $40 to $35

21

10 pts

Review Lesson 8-2: Identify the GCF of each polynomial.

- GCF: 6x
- GCF: 7x
- GCF: 9

22

10 pts

Review Lesson 8-2: Identify the factored form of each polynomial.

- 7x(5x² + x + 9)
- 6x(2x³ + 5x² + 7)
- 9(8x³ + 6x² + 3)

23

10 pts

Vocabulary Review: Identify the square numbers below.

- 77
- 36
- 144
- ¼
- 1
- 6

- Square numbers

24

10 pts

Vocabulary Review: Complete each sentence with always, sometimes, or never.

- always
- sometimes
- never

- The square of a nonzero number is __?__ positive.
- The square root of a number is __?__ negative.

25

10 pts

Use Your Vocabulary: Classify each expression as a binomial or not a binomial.

- Binomial
- Not a binomial

Use Your Vocabulary:

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29

30

26

5 pts

Enter a word from the list.

27

5 pts

Enter only a word from the list.

28

5 pts

Enter only a word from the list.

29

10 pts

30

10 pts

31

100 pts

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

32

10 pts

Reflection: Math Success

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