Algebra 1 3-4 Complete Lesson: Solving Multi-Step Inequalities
By Matt Richardson
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Last updated almost 3 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.
10 points
10
Question 1
1.
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?
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?
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10
Question 2
2.
Problem 1 Got It?
Problem 1 Got It?
A.REI.3
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10
Question 3
3.
Problem 1 Got It?
Problem 1 Got It?
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Question 4
4.
Problem 1 Got It?
Problem 1 Got It?
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Question 5
5.
Problem 2 Got It?
Problem 2 Got It?
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Question 6
6.
Problem 3 Got It?
Problem 3 Got It?
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Question 7
7.
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 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.
A.REI.3
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Question 8
8.
Problem 5 Got It?
Problem 5 Got It?
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Question 9
9.
Problem 5 Got It?
Problem 5 Got It?
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Question 10
10.
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Question 11
11.
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Question 12
12.
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Question 13
13.
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Question 14
14.
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Question 16
16.
Reasoning: Can you solve the inequality 2(x - 3) ≤ 10 without using the Distributive Property? Explain.
Reasoning: Can you solve the inequality 2(x - 3) ≤ 10 without using the Distributive Property? Explain.
A.REI.3
20 points
20
Question 17
17.
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 ≥ ?
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 ≥ ?
A.REI.3
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Question 18
18.
Review Lesson 3-3: Solve the inequality.
Review Lesson 3-3: Solve the inequality.
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Question 19
19.
Review Lesson 1-3: Match each number set into its number family.
Review Lesson 1-3: Match each number set into its number family.
- the nonnegative integers
- the counting numbers
- ..., -3, -2, -1, 0, 1, 2, 3, ...
- Natural Numbers
- Whole Numbers
- Integers
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Question 20
20.
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: 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 __?__.
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Question 21
21.
Vocabulary Review: Decide if the inequality symbol will change when you solve each inequality. Categorize the inequalities appropriately.
Vocabulary Review: Decide if the inequality symbol will change when you solve each inequality. Categorize the inequalities appropriately.
- 3t < 6
- -8s < 4
- 5x ≤ -10
- -4 ≤ -2a
- Reverse
- Stay the same
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Question 22
22.
Use Your Vocabulary: Use the words at least or at most to complete each sentence.
Use Your Vocabulary: Use the words at least or at most to complete each sentence.
- at least
- at most
- You must be __?__ 18 years of age to vote in a national election.
- An elevator can safely carry __?__ 15 people.
- When water boils, you know the temperature is __?__ 212°F.
- If all books cost $3 and Jane has $20, she can buy __?__ books.
A.REI.3
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Question 23
23.
Use Your Vocabulary: Now match the appropriate inequality symbol with each sentence.
Use Your Vocabulary: Now match the appropriate inequality symbol with each sentence.
- ≥
- ≤
- You must be __?__ 18 years of age to vote in a national election.
- An elevator can safely carry __?__ 15 people.
- When water boils, you know the temperature is __?__ 212°F.
- If all books cost $3 and Jane has $20, she can buy __?__ books.
A.REI.3
100 points
100
Question 24
24.
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.
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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Question 25
25.
Reflection: Math Success
Reflection: Math Success
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