Algebra 1 3-3 Complete Lesson: Solving Inequalities Using Multiplication or Division
By Matt Richardson
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Last updated almost 3 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.
5 points
5
Question 1
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)
A.CED.1
A.REI.3
5 points
5
Question 2
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)
A.CED.1
A.REI.3
10 points
10
Question 3
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.
A.CED.1
A.REI.3
10 points
10
Question 4
4.
Problem 1 Got It? What are the solutions of the inequality?
A.REI.3
10 points
10
Question 5
5.
Problem 1 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.
A.REI.3
10 points
10
Question 6
6.
Problem 2 Got It? What are the solutions of the inequality?
A.REI.3
10 points
10
Question 7
7.
Problem 2 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.
A.REI.3
10 points
10
Question 8
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:
A.CED.1
A.REI.3
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10
Question 9
9.
Problem 3 Got It?Reasoning: In Problem 3, why do you round to the greater whole number?
N.Q.2
A.CED.1
A.REI.3
10 points
10
Question 10
10.
Problem 4 Got It? What are the solutions of the inequality?
A.REI.3
10 points
10
Question 11
11.
Problem 4 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.
A.REI.3
10 points
10
Question 12
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
A.REI.3
10 points
10
Question 13
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.
A.REI.3
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10
Question 14
14.
Error Analysis: Describe and correct the error in the solution.
A.REI.3
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10
Question 15
15.
Review Lesson 2-3: Solve the equation.
Enter only a number.
A.REI.3
10 points
10
Question 16
16.
Review Lesson 2-3: Solve the equation.
Enter only a number.
A.REI.3
10 points
10
Question 17
17.
Review Lesson 2-3: Solve the equation.
Enter only a number.
A.REI.3
10 points
10
Question 18
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
A.REI.3
10 points
10
Question 19
19.
Vocabulary Review: Match each inequality on the left with its equivalent inequality on the right.
100 points
100
Question 20
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.
