Algebra 1 8-2 Complete Lesson: Multiplying and Factoring

4.5 (1 rating)

by Matthew Richardson

| 37 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.

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2

1

10 pts

Solve It! You set aside part of a rectangular plot of land for a garden and seed the rest of the plot with grass, as shown. Grass seed costs $.03 per square foot. Write an expression for the total cost of the seed.

2

10 pts

Solve It! Suppose you buy $50 worth of grass seed. How wide can the section of grass be? Round to the nearest foot and enter only a number.

3

3

10 pts

Problem 1 Got It?

A

B

C

D

4

4

10 pts

Problem 2 Got It?

A

B

C

D

5

5

10 pts

Problem 3 Got It?

A

B

C

D

6

6

10 pts

Problem 3 Got It?

A

B

C

D

7

7

10 pts

Problem 4 Got It? In Problem 4, suppose the side length of the square is 6x and the radius of the circle is 3x. What is the factored form of the shaded region?

8

8

10 pts

What is a simpler form of the expression?

A

B

C

D

9

9

10 pts

A

B

C

D

10

10

10 pts

A

B

C

D

11

11

10 pts

A

B

C

D

12

10 pts

Find the GCF of the pair of monomials.

3n²

1

7n²

13

10 pts

Find the GCF of the pair of monomials:

3n²

1

7n²

14

10 pts

Find the GCF of the pair of monomials.

1

7n²

3n²

15

10 pts

Reasoning: Write a binomial with 9x² as the GCF of its terms.

16

10 pts

Review Lesson 8-1: Simplify the sum.

17

10 pts

Review Lesson 8-1: Simplify the difference.

18

20 pts

Review Lesson 6-5: Solve the inequality for y. Then graph the inequality. Include relevant graph detail.

19

10 pts

Review Lesson 1-7: Use the distributive property to match each expression with its simplified form.

- 8(x - 5)
- -3(x + 4)
- 0.25(8x + 16)

- 8x - 40
- 4x + 4
- -3x - 12

20

10 pts

Vocabulary Review: Classify each number based on whether or not it is a multiple of 10.

- 250
- 2
- 50
- 30
- -110
- 1001
- 0

- Multiple of 10
- Not a multiple of 10

21

10 pts

Use Your Vocabulary: Which expression does not have x³ as a factor?

22

10 pts

Use Your Vocabulary: Which factor tree in the image below shows a prime factorization?

A

B

C

D

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33

34

23

2 pts

24

2 pts

25

2 pts

26

2 pts

27

2 pts

28

2 pts

29

2 pts

30

2 pts

31

2 pts

32

2 pts

33

2 pts

34

2 pts

35

5 pts

Note: In the item set above, the third factor tree is not complete.

The monomial 2x can be factored. What are its prime factors? Select all that apply.

2x

x

2

4x

36

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.

37

10 pts

Reflection: Math Success

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