Log in
Sign up for FREE
arrow_back
Library

Algebra 2 3-3 Complete Lesson: Systems of Inequalities

star
star
star
star
star
Last updated about 4 years ago
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.
40
10
40
15
10
5
10
10
10
10
15
10
10
10
10
100
10
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.
10
5
Question 2
2.

Which model is the least expensive option that meets your conditions? Respond with only the letter corresponding to the model.

10
Question 3
3.

Problem 1 Got It?

Question 4
4.

Problem 2 Got It? What is the solution of the system of inequalities? Graph the solution on the canvas. Include relevant graph detail.

Question 5
5.

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.

Question 6
6.

Problem 4 Got It? What is the solution of the system of inequalities? Graph the solution on the canvas. Include relevant graph detail.

Question 7
7.

Graph the system of inequalities by graphing then identify one solution to the system. Include relevant graph detail.

Question 8
8.

Graph the system of inequalities by graphing. Zoom and pan you graph to establish a suitable viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 9
9.

Reasoning: Fill in the blank.

The solution of a system of linear inequalities is the __?__ of the solutions of the two inequalities?

Question 11
11.

Error Analysis: Describe and correct the error made in solving the system of inequalities shown below.

Question 12
12.

Review Lesson 3-2: Solve the system using elimination or substitution. Show your work on the canvas.

Question 13
13.

Review Lesson 3-2: Solve the system using elimination or substitution. Show your work on the canvas.

Question 14
14.

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)
Question 15
15.

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.
Question 16
16.

Use Your Vocabulary: Classify each math statement based on whether or not it is an inequality.

  • 15x > 3y
  • y ≤ x
  • p = t - 17
  • r ≠ s
  • Inequality
  • NOT an inequality
Question 17
17.

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
Question 18
18.

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
Question 19
19.

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.

Question 20
20.

Reflection: Math Success

Question 1
1.

Which car models meet your conditions? Select all that apply.