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Algebra 2 2-3 Complete Lesson: Linear Functions and Slope-Intercept Form

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Last updated about 4 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.
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Question 1
1.

Solve It! By what value do you multiply height h to get height H?

Question 2
2.

Problem 1 Got It? What is the slope of the line that passes through the points?
Enter only a number.

Question 3
3.

Problem 1 Got It? What is the slope of the line that passes through the points?
Enter only a number or write "Undefined"

Question 4
4.

Problem 1 Got It? What is the slope of the line that passes through the points?
Enter only a number or write "Undefined"

Question 5
5.

Problem 2 Got It? What is the equation of a line with m = 6 and y-intercept (0, 5)?

Question 6
6.

Problem 2 Got It? What is the equation of a line graphed below?

Question 7
7.

Problem 2 Got It? Reasoning: In the previous item, do you get a different equation if you use (-6, 0) and the y-intercept to find the slope of the line? Explain.

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Question 8
8.

Problem 3 Got It?

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Question 9
9.

Problem 3 Got It?

Question 10
10.

Problem 4 Got It? What is the graph of the equation? Hint: convert the equation to slope-intercept form.

Verification

Graph the equation from the previous item on the embedded Desmos graphing utility below. Note any differences between the Desmos graph and your graph above. Edit your graph above if necessary.
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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.
Question 15
15.

Vocabulary: What is a y-intercept? How is a y-intercept different from an x-intercept?

Question 17
17.

Error Analysis: A classmate found the slope between two points. What error did she make?

Question 18
18.

Review Lesson 2-1: Match each relation with its domain.

  • Domain: {-2, -1, 2, 3}
  • Domain: all real numbers
  • Domain: {-2, 1, 2, 3, 4}
  • Domain: {-5, 0, 2, 9}
Question 19
19.

Review Lesson 2-1: Match each relation with its range.

  • Range: {-2, -1, 2, 3}
  • Range: all real numbers y ≥ -2
  • Range: {-2, 1, 2, 3, 4}
  • Range: {-3, -1, 5, 15}
Question 20
20.

Review Lesson 2-1: Categorize each relation as a function or NOT a function.

  • Function
  • NOT a function
Question 21
21.

Review Lesson 1-3: Match each function with its value for x = 0.

  • 5x + 2
  • (x - 4) + 12
  • 13 - 6.5x
  • 13
  • 8
  • 2
  • 5
Question 22
22.

Vocabulary Review: Classify each relation based on whether or not it is a function.

  • {(0, 1), (-1, 3), (0, 4)}
  • Function
  • NOT a function
Question 23
23.

Use Your Vocabulary: Use the graph below. Match each line in the left column with its slope type on the right.

  • line a
  • line b
  • line c
  • line d
  • Positive slope
  • Negative slope
  • Zero slope
  • undefined
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.

Question 25
25.

Reflection: Math Success