Algebra 2 3-3 Complete Lesson: Systems of Inequalities
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4.5 (1 rating)
by Matthew Richardson
| 20 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.
The outlined content above was added from outside of Formative.
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Solve It! You want a car that is less than \$20,000 after 5% sales tax is added. You want fuel costs under \$2000 for the first 10,000 city miles you expect to drive next year. You estimate that the cost of gas will average \$4 per gallon.
1
10 pts
Which car models meet your conditions? Select all that apply.
A
B
C
D
E
F
G
H
2
5 pts
Which model is the least expensive option that meets your conditions? Respond with only the letter corresponding to the model.
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3
10 pts
Problem 1 Got It?
A
B
C
D
4
40 pts
Problem 2 Got It? What is the solution of the system of inequalities? Graph the solution on the canvas. Include relevant graph detail.
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10 pts
Problem 3 Got It? A pizza parlor charges \$1 for each vegetable topping and \$2 for each meat topping. You want at least 5 toppings for your pizza. You have \$10 to spend on toppings. Which possible combinations of toppings can you afford? Select all that apply.
5 meats and no vegetables
no meats and 10 vegetables
1 meat and 8 vegetables
2 meats and 7 vegetables
3 meats and 3 vegetables
6
40 pts
Problem 4 Got It? What is the solution of the system of inequalities? Graph the solution on the canvas. Include relevant graph detail.
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15 pts
Graph the system of inequalities by graphing then identify one solution to the system. Include relevant graph detail.
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10 pts
Graph the system of inequalities by graphing. Zoom and pan you graph to establish a suitable viewing window.

9
5 pts
Reasoning: Fill in the blank.

The solution of a system of linear inequalities is the __?__ of the solutions of the two inequalities?
union
intersection
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10 pts
Error Analysis: Describe and correct the error made in solving the system of inequalities shown below.

12
10 pts
Review Lesson 3-2: Solve the system using elimination or substitution. Show your work on the canvas.
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10 pts
Review Lesson 3-2: Solve the system using elimination or substitution. Show your work on the canvas.
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15 pts
Review Lesson 3-3: Place each system with the ordered pair that represents a solution of the system.
• x + y > 2
3x + 2y ≤ 7
• 2y > 4
3x + 4y ≤ 14
• x + 1 < 2
3y + x < 1
• (0, 0)
• (1, 2)
• (-1, 3)
15
10 pts
Vocabular Review: Complete each statement with the correct word or phrase from the list.
• minimum
• at least
• at most
• The football team needs __?__ two more wins to clinch the division title.
• The __?__ height a person must be to ride the roller coaster is 42".
• If you have \$45 and sweaters cost \$20, you can buy __?__ two sweaters.
16
10 pts
Use Your Vocabulary: Classify each math statement based on whether or not it is an inequality.
• 15x > 3y
• yx
• p = t - 17
• rs
• Inequality
• NOT an inequality
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10 pts
Use Your Vocabulary: Fill in each blank with an inequality symbol from the list provided.
• <
• >
• y < 6, so 6 _?_ y
• b ≥ 10, so 10 _?_ b
• r ≤ s + t, so s + t _?_ r
18
10 pts
Use Your Vocabulary: Identify the inequality symbol that corresponds to each verbal expression.
• <
• >
• p is at most 10
• u is greater than m
• z is at least 9
19
100 pts
Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

20
10 pts
Reflection: Math Success