Algebra 1 3-1 Complete Lesson: Inequalities and Their Graphs

3.5 (2 ratings)

by Matthew Richardson

| 30 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! By law, the height of a newly constructed building in Washington D.C., can be no greater than the width of the adjacent street, plus 20 ft. Pennsylvania Avenue, shown here, is the widest street in Washington D.C. What is the maximum allowable height of a new building?

60 ft

143 ft

133 ft

86 ft

2

2

10 pts

Problem 1 Got It?

A

B

C

D

3

3

10 pts

Problem 1 Got It?

A

B

C

D

4

10 pts

Problem 2 Got It? Consider the numbers -1, 0, 1, and 3. Which are soloutions of the inequality?

- -1
- 0
- 1
- 3

- Solution of the inequality
- Not a solution of the inequality

5

5

10 pts

Problem 2 Got It? Reasoning:

In Problem 2, how is the solution of the related equation 2x + 1 = -3 related to the solutions of the inequality 2x + 1 > -3?

6

6

10 pts

Problem 3 Got It? Match the graphs with their inequalities.

- c < 0
- x > -4
- 3 ≤ n

- Graph A
- Graph B
- Graph C

7

7

10 pts

Problem 4 Got It?

A

B

C

D

8

8

10 pts

Problem 4 Got It?

A

B

C

D

9

9

10 pts

Problem 5 Got It? For the inequality, can the speed be all real numbers less than or equal to 8? Explain.

A

B

C

10

10

10 pts

A

B

C

D

11

11

5 pts

Yes

No

12

12

5 pts

Yes

No

13

13

5 pts

Yes

No

14

14

5 pts

Yes

No

15

15

10 pts

A

B

C

D

17

20 pts

Compare and Contrast: What are some situations you could model with x ≥ 0? How do they differ from situations you could model with x > 0?

18

19

10 pts

Review Lesson 2-10: Original amounts and new amounts are paired below. Categorize each pair as an increase or decrease.

- original amount: $10 ; new amount: $12
- original amount: 20 in ; new amount: 18 in
- original amount: 36° ; new amount: 12°

- Increase
- Decrease

20

10 pts

Review Lesson 2-10: Original amounts and new amounts are paired below. Match each pair with its percent change, rounded to the nearest percent.

- original amount: $10 ; new amount: $12
- original amount: 20 in ; new amount: 18 in
- original amount: 36° ; new amount: 12°

- 10% decrease
- 67% decrease
- 20% increase

21

10 pts

Review Lesson 1-6: Find the product.

Enter only a number.

22

10 pts

Review Lesson 1-6: Find the product.

Enter only a number, in this format: -2/17

23

10 pts

Review Lesson 1-6: Find the quotient.

Enter only a number.

24

10 pts

Review Lesson 1-6: Find the quotient.

Enter only a number, in this format: -17/2

25

10 pts

Review Lesson 2-1: Solve the equation.

Enter only a number.

26

10 pts

Review Lesson 2-1: Solve the equation.

Enter only a number, as a reduced fraction in this form: -7/8

27

10 pts

Vocabulary Review: Write an equation using 3, 13, and k.

28

10 pts

Use Your Vocabulary: Categorize each mathematical sentence as an equation or inequality.

- 17 ≥ 5
- 3x = 9
- 2x > 5
- 2(4) = 8
- 8 < 3x

- Equation
- Inequality

29

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.

30

10 pts

Reflection: Math Success

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