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

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

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

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

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

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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.

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

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Problem 1 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

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

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Problem 2 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

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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:

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

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

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Problem 4 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

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Which operation would you use to solve each inequality on the right? Explain.

Addition; This inverse operation will isolate the variable in the inequality.
Subtraction; This inverse operation will isolate the variable in the inequality.
Multiplication; This inverse operation will isolate the variable in the inequality.
Division; This inverse operation will isolate the variable in the inequality.

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

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Review Lesson 2-3: Solve the equation.
Enter only a number.

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Review Lesson 2-3: Solve the equation.
Enter only a number.

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Review Lesson 2-3: Solve the equation.
Enter only a number.

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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

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

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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.

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

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

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

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.

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

Problem 1 Got It? Graph the solutions of the inequality.Include all relevant graph detail.

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

Problem 2 Got It? Graph the solutions of the inequality.Include all relevant graph detail.

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.

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

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

Problem 4 Got It? Graph the solutions of the inequality.Include all relevant graph detail.

Which operation would you use to solve each inequality on the right? Explain.

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

Review Lesson 2-3: Solve the equation.Enter only a number.

Review Lesson 2-3: Solve the equation.Enter only a number.

Review Lesson 2-3: Solve the equation.Enter only a number.

Vocabulary Review: Drag the inequalities into the Inequality category.

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

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.

Reflection: Math Success

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

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

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.

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

Problem 1 Got It? Graph the solutions of the inequality.Include all relevant graph detail.

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

Problem 2 Got It? Graph the solutions of the inequality.Include all relevant graph detail.

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.

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

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

Problem 4 Got It? Graph the solutions of the inequality.Include all relevant graph detail.

Match each inequality with its graph.

Which operation would you use to solve each inequality on the right? Explain.

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

Review Lesson 2-3: Solve the equation.Enter only a number.

Review Lesson 2-3: Solve the equation.Enter only a number.

Review Lesson 2-3: Solve the equation.Enter only a number.

Vocabulary Review: Drag the inequalities into the Inequality category.

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

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.

Reflection: Math Success

Match each inequality with its graph.

Problem 1 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

Problem 2 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

Problem 4 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

Review Lesson 2-3: Solve the equation.
Enter only a number.

Review Lesson 2-3: Solve the equation.
Enter only a number.

Review Lesson 2-3: Solve the equation.
Enter only a number.

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.

Problem 1 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

Problem 2 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

Problem 4 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

Review Lesson 2-3: Solve the equation.
Enter only a number.

Review Lesson 2-3: Solve the equation.
Enter only a number.

Review Lesson 2-3: Solve the equation.
Enter only a number.

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.