Algebra 1 3-3 Complete Lesson: Solving Inequalities Using Multiplication or Division

5 (1 rating)

by Matthew Richardson

| 21 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

5 pts

Solve It! Drag the appropriate inequality sign to fill in each blank.

- <
- >

- (4)(3) ___ (1)(3)
- (4)(2) ___ (1)(2)
- (4)(1) ___ (1)(1)

2

5 pts

Solve It! Drag the appropriate inequality sign to fill in each blank.

- <
- >

- (4)(-1) ___ (1)(-1)
- (4)(-2) ___ (1)(-2)
- (4)(-3) ___ (1)(-3)

3

10 pts

Solve It! Consider the previous item. What happens to the inequality symbol when you multiply each side of an expression by a positive number? A negative number? Justify your reasoning.

4

10 pts

Problem 1 Got It? What are the solutions of the inequality?

c < 1

c > 2

4 < c

c > 1/32

5

10 pts

Problem 1 Got It? Graph the solutions of the inequality.

Include all relevant graph detail.

6

10 pts

Problem 2 Got It? What are the solutions of the inequality?

n > -36

n > -4

36 < n

n < -4

7

10 pts

Problem 2 Got It? Graph the solutions of the inequality.

Include all relevant graph detail.

8

10 pts

Problem 3 Got It? A student club plans to buy food for a soup kitchen. A case of vegetables costs $10.68. The club can spend at most $50 for this project. What are the possible numbers of cases the club can buy? Categorize the number of cases.

- 1 case
- 2 cases
- 3 cases
- 4 cases
- 5 cases
- 6 cases
- 7 cases

- The club can afford:
- The club can not afford:

9

9

10 pts

Problem 3 Got It? Reasoning: In Problem 3, why do you round to the greater whole number?

10

10 pts

Problem 4 Got It? What are the solutions of the inequality?

x < 2

x < 50

x > -2

x > 50

11

10 pts

Problem 4 Got It? Graph the solutions of the inequality.

Include all relevant graph detail.

12

12

10 pts

Match each inequality with its graph.

- x + 2 > -1
- -x/3 < -1
- x - 4 ≤ -1
- -3x ≥ 9

- Graph A
- Graph B
- Graph C
- Graph D

13

10 pts

Which operation would you use to solve the inequality? Explain. Respond for each of the three inequalities.

14

10 pts

Error Analysis: Describe and correct the error in the solution.

15

10 pts

Review Lesson 2-3: Solve the equation.

Enter only a number.

16

10 pts

Review Lesson 2-3: Solve the equation.

Enter only a number.

17

10 pts

Review Lesson 2-3: Solve the equation.

Enter only a number.

18

10 pts

Vocabulary Review: Drag the inequalities into the Inequality category.

- 5 + x < 6
- 7 - y ≥ 2
- a + b = 12
- m - 3 > 5
- 2 + 3 = 3 + 2

- Inequality

19

10 pts

Vocabulary Review: Match each inequality on the left with its equivalent inequality on the right.

20

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.

21

10 pts

Reflection: Math Success

Add to my formatives list

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