Algebra 1 3-2 Complete Lesson: Solving Inequalities Using Addition or Subtraction

3 (2 ratings)

by Matthew Richardson

| 27 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! What is the least number of states in the southeastern U.S. that the candidate could win and still become president?

Enter only a number.

1

2

3

4

5

2

10 pts

Problem 1 Got It? Solve the inequality, showing your step(s), and graph the solutions on the number line.

Be sure to include all relevant graph detail.

3

10 pts

Problem 2 Got It? Solve the inequality, showing your step(s), and graph the solutions on the number line. Check your solutions.

Be sure to include all relevant graph detail.

4

10 pts

Problem 3 Got It? Solve the inequality, showing your step(s), and graph the solutions on the number line. Check your solutions.

Be sure to include all relevant graph detail.

5

5

10 pts

Problem 4 Got It?

A

B

C

D

6

6

10 pts

Problem 4 Got It?

A

B

C

D

7

10 pts

Solve the inequality. Then graph and check your solution.

Include all relevant graph detail.

8

10 pts

Solve the inequality. Then graph and check your solution.

Include all relevant graph detail.

9

10 pts

Solve the inequality. Then graph and check your solution.

Include all relevant graph detail.

10

10 pts

Solve the inequality. Then graph and check your solution.

Include all relevant graph detail.

11

11

10 pts

A

B

C

D

12

10 pts

Writing: How can you use the addition and subtraction properties of inequality to produce equivalent inequalities?

13

30 pts

Reasoning: What can you do to the first inequality in each pair in order to get the second inequality?

14

10 pts

Compare and Contrast: Suppose you solve the two inequalities:

How are your methods of solving the inequalities similar? How are they different?

15

10 pts

Review Lesson 3-1: Define a variable and write an inequality to model the situation.

A hummingbird migrates more than 1850 mi.

Let d represent the distance in miles that a hummingbird migrates; d > 1850

Let m represent the distance in miles that a hummingbird migrates; m ≥ 1850

Let h represent the distance in miles that a hummingbird migrates; h < 1850

16

10 pts

Review Lesson 3-1: Define a variable and write an inequality to model the situation.

An octopus can be up to 18 ft long.

17

5 pts

Review Lesson 1-2: Simplify the expression.

Enter only a number.

18

5 pts

Review Lesson 1-2: Simplify the expression.

Enter only a number.

19

5 pts

Review Lesson 1-2: Simplify the expression.

Enter only a number, in decimal form.

20

5 pts

Review Lesson 2-1: Solve the equation.

Enter only a number.

21

5 pts

Review Lesson 2-1: Solve the equation.

Enter only a number, in this form: -21/4

22

10 pts

Review Lesson 2-1: Solve the equation.

Enter only a number in simplest form.

23

10 pts

Vocabulary Review: Match each verbal description on the left with its inequality symbol on the right.

- less than
- at most
- no greater than
- fewer than
- more than
- no more than
- greater than
- as little as
- greater than or equal to
- at least
- less than or equal to
- no less than

- <
- >
- <
- >

24

10 pts

Use Your Vocabulary: Categorize each of the equations.

- 3 = x
- x = 1/3
- x + 2 = 5
- x + 2 = 5 - 2

- Equivalent to the equation x = 3
- Not equivalent to the equation x = 3

25

10 pts

Use Your Vocabulary: Categorize each of the inequalities.

- 3 ≥ x
- x ≤ 1/3
- x + 2 ≥ 5
- x + 2 ≤ 5 - 2

- Equivalent to x ≤ 3
- Not equivalent to x ≤ 3

26

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.

27

10 pts

Reflection: Math Success

Add to my formatives list

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