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

By Matt Richardson
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Last updated about 2 years ago
21 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.
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1.
Solve It! Drag the appropriate inequality sign to fill in each blank.
  • <
  • >
  • (4)(3) ___ (1)(3)
  • (4)(2) ___ (1)(2)
  • (4)(1) ___ (1)(1)
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2.
Solve It! Drag the appropriate inequality sign to fill in each blank.
  • <
  • >
  • (4)(-1) ___ (1)(-1)
  • (4)(-2) ___ (1)(-2)
  • (4)(-3) ___ (1)(-3)
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3.
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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4.
Problem 1 Got It? What are the solutions of the inequality?
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5.
Problem 1 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.
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6.
Problem 2 Got It? What are the solutions of the inequality?
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7.
Problem 2 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.
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8.
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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9.
Problem 3 Got It? Reasoning: In Problem 3, why do you round to the greater whole number?
N.Q.2
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10.
Problem 4 Got It? What are the solutions of the inequality?
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11.
Problem 4 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.
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12.
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
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13.
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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14.
Error Analysis: Describe and correct the error in the solution.
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15.
Review Lesson 2-3: Solve the equation.
Enter only a number.
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16.
Review Lesson 2-3: Solve the equation.
Enter only a number.
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17.
Review Lesson 2-3: Solve the equation.
Enter only a number.
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18.
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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19.
Vocabulary Review: Match each inequality on the left with its equivalent inequality on the right.
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20.
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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21.
Reflection: Math Success
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