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

By Matt Richardson
Last updated almost 3 years ago
27 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.

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.

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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.

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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.

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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.

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Problem 4 Got It?

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Problem 4 Got It?

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Solve the inequality. Then graph and check your solution.
Include all relevant graph detail.

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Solve the inequality. Then graph and check your solution.
Include all relevant graph detail.

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Solve the inequality. Then graph and check your solution.
Include all relevant graph detail.

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Solve the inequality. Then graph and check your solution.
Include all relevant graph detail.

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

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




Address each of the three pairs of inequalities, by name, in your response.
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Compare and Contrast: Suppose you solve the two inequalities:

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

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

A hummingbird migrates more than 1850 mi.

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

An octopus can be up to 18 ft long.

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Review Lesson 1-2: Simplify the expression.
Enter only a number.

Review Lesson 1-2: Simplify the expression.
Enter only a number.

Review Lesson 1-2: Simplify the expression.
Enter only a number, in decimal form.

Review Lesson 2-1: Solve the equation.
Enter only a number.

Review Lesson 2-1: Solve the equation.
Enter only a number, in this form: -21/4

Review Lesson 2-1: Solve the equation.
Enter only a number in simplest form.

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
  • <
  • >
  • <
  • >

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

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
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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.

Reflection: Math Success

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