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Algebra 2 2-8 Two-Variable Inequalities

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Last updated over 6 years ago
25 questions
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A.CED.2
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F.IF.7.b
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Solve It! You have a gift card for a store that sells used CDs and paperback books.
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Question 3
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Problem 1 Got It? What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail.

Question 4
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Problem 1 Got It? What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail.

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Question 5
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Problem 2 Got It? Suppose that you decide to spend no more than $30 for tickets. Graph an inequality to represent all possible combinations of ticket types. Construct your graph on the canvas using colors other than black. Include relevant graph detail and establish the scale of the axes.

A.CED.2
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A.CED.2
Question 7
7.

Problem 3 Got It? What is the graph of the absolute value inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail.

Question 8
8.

Problem 3 Got It? Graph the absolute value inequality. Zoom and pan your graph to leave an appropriate scale and viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
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A.CED.2
F.IF.7.b
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A.CED.2
F.IF.7.b
Question 11
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Graphing: What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail.

Question 12
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Graphing: What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail.

Question 13
13.

Graphing: What is the graph of the absolute value inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail.

Question 14
14.

Graphing: Graph the absolute value inequality. Zoom and pan your graph to leave an appropriate scale and viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 17
17.

Question 18
18.

Review Lesson 2-7: Graph the absolute value function by translating the graph of its parent function. Use a color other than black.

Question 19
19.

Question 20
20.

Graphing: Make a scatter plot of the data. Consider the correlation between variables. Zoom and pan your scatter plot to establish an appropriate viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 21
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Question 22
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Question 23
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Question 24
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Question 25
25.

Reflection: Math Success

Question 1
1.

Question 2
2.

Question 6
6.

Problem 2 Got It? Reasoning: Why does the graph in the previous item only include Quadrant I?

Question 9
9.

Question 10
10.

Reasoning: Is the ordered pair a solution of the inequality? Explain.
No, substituting the ordered pair into the inequality results in a false inequality.
Yes, substituting the ordered pair into the inequality results in a true inequality.
Review Lesson 2-2: Tag each equation based on whether y varies directly with x. If it does, also tag it with its constant of variation.
y varies directly with x
y does NOT vary directly with x
constant of variation: -5
constant of variation: 3
constant of variation: 100
y = x + 3
y = 100x
-5 = y + x
5x + y = 0
Describe the correlation between the variables in the previous item.
No correlation
Positive correlation
Negative correlation
Vocabulary Review: Identify each statement based on whether or not it is an inequality.
15 < 32
-27 ≠ 3x
17x = 34
46 > 45
Inequality
NOT an inequality
Vocabulary Review: Complete each inequality with an inequality symbol from the left.
<
>
-2 __?__ 1
0.05 __?__ 0.5
8/6 __?__ 16/6
|-3.5| __?__ -4
Use Your Vocabulary: Categorize each inequality based on the boundary line of its graph.
y < 3x
2y - 3x ≤ 9
4y ≥ x - 1
y > -5x + 4
Solid boundary line
Dashed boundary line
How many of each type of item can you afford? Categorize each purchasing scenario.
9 CDs
16 books
6 CDs and 6 books
6 CDs and 9 books
2 CDs and 13 books
Can afford
Can NOT afford
Suppose you want to use as much of the gift card as possible. Which purchasing option leaves the smallest balance on the gift card?
9 CDs
6 CDs and 5 books
2 CDs and 13 books
Problem 4 Got It?
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B
C
D
Problem 4 Got It?
A
B
C
D