Simplifying Expressions Quiz

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Questions and Answers

What is the simplified form of the expression 2x+5x?

  • 2x^5
  • 10x
  • 10
  • 7x (correct)

In the expression 12cd-5cd, what is the result after simplification?

  • -7cd (correct)
  • 7cd
  • -17cd
  • 17cd

What is the simplified form of -a+5a-2a?

  • -6a
  • -8a
  • 2a (correct)
  • -3a

Simplify the expression xy+xy+xy.

<p>4xy (A)</p> Signup and view all the answers

What is the result of the expression x^2+6x^2+2x^2-〖3x〗^2?

<p>6x^2+2x^2 (C)</p> Signup and view all the answers

What is the result of simplifying the expression: 4b+5b-2b?

<p>6b (C)</p> Signup and view all the answers

If you simplify the expression: 2x-5x, what is the final result?

<p>-3x (A)</p> Signup and view all the answers

For the expression: abc+bac+cba, what is the simplified form?

<p>abc+bac+cba (B)</p> Signup and view all the answers

If you simplify x^2+6x^2+2x^2-〖3x〗^2, what is the outcome?

<p>6x^2 - 3x^2 (D)</p> Signup and view all the answers

What is the simplified form of -a+5a-2a?

<p>-4a (A)</p> Signup and view all the answers

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Study Notes

Simplifying Algebraic Expressions

  • The expression 2x + 5x simplifies to 7x by combining like terms.
  • For the expression 12cd - 5cd, the result after simplification is 7cd.
  • The expression -a + 5a - 2a simplifies to 2a by combining like terms.
  • xy + xy + xy simplifies to 3xy because it adds together three identical terms.
  • In the case of x² + 6x² + 2x² - 3x², combining like terms results in 6x².
  • The expression 4b + 5b - 2b simplifies to 7b after adding and subtracting the coefficients.
  • The final result of simplifying 2x - 5x is -3x.
  • For the expression abc + bac + cba, it simplifies to 3abc as all terms are permutations of the same variables.
  • Reiterating, simplifying x² + 6x² + 2x² - 3x² yields the outcome of 6x².
  • Again, -a + 5a - 2a ultimately simplifies to 2a through combining terms.

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