Algebra 2 8-4 Complete Lesson: Rational Expressions

Last updated about 4 years ago

26 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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Algebra 2 8-4 Complete Lesson: Rational Expressions

Algebra 2 8-4 Complete Lesson: Rational Expressions

Solve It! Solution and Explanation

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

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.

Vocabulary: Is the equation in simplest form?

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

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.

Review Lesson 8-3: Categorize the vertical asymptotes and holes in the left column based on which function's graph they describe.

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

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

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

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

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

Vocabulary Review: Identify the fractions that are in simplest form. Select all that apply.

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.

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.

Reflection: Math Success

Solve It! Solution and Explanation

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

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.

Simplify the rational expression. State any restrictions on the variable.

Simplify the rational expression. State any restrictions on the variable.

Multiply the expressions. State any restrictions on the variable.

Divide the expressions. State any restrictions on the variable.

Vocabulary: Is the equation in simplest form?

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

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.

Review Lesson 8-3: Categorize the vertical asymptotes and holes in the left column based on which function's graph they describe.

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

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

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

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

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

Vocabulary Review: Identify the fractions that are in simplest form. Select all that apply.

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.

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.

Reflection: Math Success

Simplify the rational expression. State any restrictions on the variable.

Simplify the rational expression. State any restrictions on the variable.

Multiply the expressions. State any restrictions on the variable.

Divide the expressions. State any restrictions on the variable.

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.

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

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.

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

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

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

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

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

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.

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.

Simplify the rational expression.
State any restrictions on the variable.

Simplify the rational expression.
State any restrictions on the variable.

Multiply the expressions.
State any restrictions on the variable.

Divide the expressions.
State any restrictions on the variable.

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

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.

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

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

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

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

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

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.

Simplify the rational expression.
State any restrictions on the variable.

Simplify the rational expression.
State any restrictions on the variable.

Multiply the expressions.
State any restrictions on the variable.

Divide the expressions.
State any restrictions on the variable.