Algebra 1 3-4 Complete Lesson: Solving Multi-Step Inequalities

Last updated almost 4 years ago

25 questions

Note 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.

100

Algebra 1 3-4 Complete Lesson: Solving Multi-Step Inequalities

Algebra 1 3-4 Complete Lesson: Solving Multi-Step Inequalities

Solve It! Math Club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure shows how much they have raised by Wednesday. What is the minimum number of shirts they must still sell in order to reach their goal?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It? Reasoning: The first step in solving Problem 4 was to subtract 3n from each side of the inequality. What else could have been the first step in solving the inequality? Explain.

Problem 5 Got It?

Problem 5 Got It?

Reasoning: Can you solve the inequality 2(x - 3) ≤ 10 without using the Distributive Property? Explain.

Error Analysis: Your friend says that the solutions of the inequality -2(3 - x) > 2x - 6 are all real numbers. Do you agree with your friend? Explain. What if the inequality symbol was ≥ ?

Review Lesson 3-3: Solve the inequality.

Review Lesson 1-3: Match each number set into its number family.

Vocabulary Review: Fill in the blank: You must reverse the direction of the inequality symbol when you multiply both sides of an inequality by a number that is ?.

Vocabulary Review: Decide if the inequality symbol will change when you solve each inequality. Categorize the inequalities appropriately.

Use Your Vocabulary: Use the words at least or at most to complete each sentence.

Use Your Vocabulary: Now match the appropriate inequality symbol with each sentence.

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! Math Club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure shows how much they have raised by Wednesday. What is the minimum number of shirts they must still sell in order to reach their goal?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It? Reasoning: The first step in solving Problem 4 was to subtract 3n from each side of the inequality. What else could have been the first step in solving the inequality? Explain.

Problem 5 Got It?

Problem 5 Got It?

Reasoning: Can you solve the inequality 2(x - 3) ≤ 10 without using the Distributive Property? Explain.

Error Analysis: Your friend says that the solutions of the inequality -2(3 - x) > 2x - 6 are all real numbers. Do you agree with your friend? Explain. What if the inequality symbol was ≥ ?

Review Lesson 3-3: Solve the inequality.

Review Lesson 1-3: Match each number set into its number family.

Vocabulary Review: Fill in the blank: You must reverse the direction of the inequality symbol when you multiply both sides of an inequality by a number that is ?.

Vocabulary Review: Decide if the inequality symbol will change when you solve each inequality. Categorize the inequalities appropriately.

Use Your Vocabulary: Use the words at least or at most to complete each sentence.

Use Your Vocabulary: Now match the appropriate inequality symbol with each sentence.

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

Algebra 1 3-4 Complete Lesson: Solving Multi-Step Inequalities

Algebra 1 3-4 Complete Lesson: Solving Multi-Step Inequalities

Solve It! Math Club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure shows how much they have raised by Wednesday. What is the minimum number of shirts they must still sell in order to reach their goal?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It? Reasoning: The first step in solving Problem 4 was to subtract 3n from each side of the inequality. What else could have been the first step in solving the inequality? Explain.

Problem 5 Got It?

Problem 5 Got It?

Reasoning: Can you solve the inequality 2(x - 3) ≤ 10 without using the Distributive Property? Explain.

Error Analysis: Your friend says that the solutions of the inequality -2(3 - x) > 2x - 6 are all real numbers. Do you agree with your friend? Explain. What if the inequality symbol was ≥ ?

Review Lesson 3-3: Solve the inequality.

Review Lesson 1-3: Match each number set into its number family.

Vocabulary Review: Fill in the blank: You must reverse the direction of the inequality symbol when you multiply both sides of an inequality by a number that is __?__.

Vocabulary Review: Decide if the inequality symbol will change when you solve each inequality. Categorize the inequalities appropriately.

Use Your Vocabulary: Use the words at least or at most to complete each sentence.

Use Your Vocabulary: Now match the appropriate inequality symbol with each sentence.

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! Math Club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure shows how much they have raised by Wednesday. What is the minimum number of shirts they must still sell in order to reach their goal?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It? Reasoning: The first step in solving Problem 4 was to subtract 3n from each side of the inequality. What else could have been the first step in solving the inequality? Explain.

Problem 5 Got It?

Problem 5 Got It?

Reasoning: Can you solve the inequality 2(x - 3) ≤ 10 without using the Distributive Property? Explain.

Error Analysis: Your friend says that the solutions of the inequality -2(3 - x) > 2x - 6 are all real numbers. Do you agree with your friend? Explain. What if the inequality symbol was ≥ ?

Review Lesson 3-3: Solve the inequality.

Review Lesson 1-3: Match each number set into its number family.

Vocabulary Review: Fill in the blank: You must reverse the direction of the inequality symbol when you multiply both sides of an inequality by a number that is __?__.

Vocabulary Review: Decide if the inequality symbol will change when you solve each inequality. Categorize the inequalities appropriately.

Use Your Vocabulary: Use the words at least or at most to complete each sentence.

Use Your Vocabulary: Now match the appropriate inequality symbol with each sentence.

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

Vocabulary Review: Fill in the blank: You must reverse the direction of the inequality symbol when you multiply both sides of an inequality by a number that is ?.

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.

Vocabulary Review: Fill in the blank: You must reverse the direction of the inequality symbol when you multiply both sides of an inequality by a number that is ?.

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.