Algebra Division Expressions
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Questions and Answers

What do we call mathematical expressions involving division?

  • Division problems
  • Addition problems
  • Multiplication problems
  • Division expressions (correct)

When a problem asks you to simplify, what does it mean?

  • To add more numbers and letters
  • To make it more complex
  • To ignore the variables
  • To reduce the expression as much as possible (correct)

How is the process of simplifying division expressions compared in the text?

  • A matching game with cards (correct)
  • A jigsaw puzzle
  • A maze to navigate
  • A crossword puzzle

What is the purpose of breaking down numbers into their factors when simplifying?

<p>To find matching pairs (D)</p> Signup and view all the answers

What does finding a matching pair in a division expression allow you to do?

<p>Remove that pair from the problem (C)</p> Signup and view all the answers

What happens when we have matching pairs of x's in a fraction?

<p>The x's cancel out and can be removed from the problem. (B)</p> Signup and view all the answers

In the context of simplifying fractions, why is dividing a number by itself equivalent to 1?

<p>Multiplication by 1 doesn't change the value. (A)</p> Signup and view all the answers

What is the result when taking out matching pairs of 5's in a fraction like 5 / 10?

<p>1/2 (D)</p> Signup and view all the answers

Why do we break apart 10 into 5 * 2 in the problem involving 10xy / 2x?

<p>To simplify the fraction further. (B)</p> Signup and view all the answers

What is left in the final answer of the problem 10xy / 2x after simplifying?

<p>5y (D)</p> Signup and view all the answers

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