Log inSign up for FREE
Library

Algebra 2 6-2 Mixed Review: Multiplying and Dividing Radical Expressions

Last updated about 3 years ago
7 questions
10

Review Lesson 6-1: Simplify the radical expression. Use absolute value symbols when needed.
Always ensure that simplified radical expressions are equivalent to the original. This should be true regardless of whether the values of the variables are positive or negative.

It may be helpful to remember that \sqrt{x^{2}}\neq x for negative values of x. This is due to the even power of x. Adding an absolute value resolves that issue: \sqrt{x^{2}}=|x|.

30

Review Lesson 5-4: Divide using synthetic division.
  • Don't forget to use 0's as placeholders.
  • Show each step on the canvas.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

10

Review Lesson 4-6: Complete each square.

  • 16
  • 25
  • 4
  • x² + 10x + __?__
  • x² - 10x + __?__
  • x² + 4x + __?__
  • x² + 8x + __?__
10

Review Lesson 4-8: Write the quotient as a complex number in the form a + bi or a - bi.

8

Vocabulary Review: Categorize each statement as true or false.

  • A real number can have a denominator equal to 0.
  • Multiplying both the numerator and denominator by the same nonzero number results in an equivalent fraction.
  • All mathematical expressions can be written as an equivalent expression with a denominator of 1.
  • The expression above a fraction bar is called the denominator.
  • True
  • False
10

Vocabulary Review: Consider the three rational expressions below.
Drag and drop the expressions on the left to identify them as a numerator or denominator.

  • 5
  • 6
  • -5r²
  • 16
  • r² + s²
  • c - 16
  • Numerators
  • Denominators
10

Use Your Vocabulary: Which expression shows the expression below with like terms combined ?