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Algebra 2 8-4 Complete Lesson: Rational Expressions

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Last updated over 4 years ago
26 questions
Note from the author:
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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.

Solve It! Solution and Explanation

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Question 12
12.

Question 14
14.

Error Analysis: A student claims that x = 2 is the only solution of the equation.
Is the student correct? Explain.

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Question 15
15.

Reasoning: The area of the rectangle shown is displayed inside the rectangle. The width of the rectangle is represented here.
Write an expression for the length of the rectangle in simplest form.

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Question 16
16.

Question 17
17.

Review Lesson 7-3: Evaluate the logarithm.
Enter only a number.

Question 18
18.

Review Lesson 7-3: Evaluate the logarithm.
Enter only a number.

Question 19
19.

Review Lesson 6-5: Solve. Check for extraneous solutions.
Enter only a number.

Question 20
20.

Review Rational Numbers: Add.
Enter only a rational number (fraction).

Question 21
21.

Review Rational Numbers: Subtract.
Enter only a number (fraction).

Question 22
22.

Question 23
23.

Question 24
24.

Question 25
25.

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 26
26.

Reflection: Math Success

Question 1
1.

Question 2
2.

Question 3
3.

Question 4
4.

Question 5
5.

Question 6
6.

Question 7
7.

Question 8
8.

Question 9
9.

Question 10
10.

Question 11
11.

Vocabulary: Is the equation in simplest form?
Yes
No
Review Lesson 8-3: Categorize the vertical asymptotes and holes in the left column based on which function's graph they describe.
no holes
hole at x = 4
hole at x = 3
no vertical asymptotes
vertical asymptote: x = -1
vertical asymptote: x = -3
vertical asymptote: x = -2/3
Vocabulary Review: Identify the fractions that are in simplest form. Select all that apply.
5/11
3/5
7/12
2/6
6/9
Vocabulary Review: Match the fractions on the left with their simplest form on the right.
Use Your Vocabulary: Categorize each expression on the left based on whether or not it is a rational expression.
Rational Expression
NOT a Rational Expression
Problem 1 Got It?
A
B
C
D
Problem 1 Got It?
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B
C
D
Problem 1 Got It?
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B
C
D
Problem 2 Got It?
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Problem 3 Got It?
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Problem 3 Got It?
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Problem 4 Got It? Construction: Which shape of play space provides for a more efficient use of fencing, a square or an equilateral triangle?

Hint: The area of an equilateral triangle in terms of one side is:
The perimeter of an equilateral triangle is 3s.
A
B
Simplify the rational expression.
State any restrictions on the variable.
A
B
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D
Simplify the rational expression.
State any restrictions on the variable.
A
B
C
D
Multiply the expressions.
State any restrictions on the variable.
A
B
C
D
Divide the expressions.
State any restrictions on the variable.
A
B
C
D