Mastering Linear Equations

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Questions and Answers

Which type of equations are called linear equations in the variable x?

  • Equations of the form ax^2+bx+c=0
  • Equations of the form bx+c=0
  • Equations of the form x^2+bx+c=0
  • Equations of the form ax+b=0 (correct)

What are the two operations on an equation that always result in a new equation equivalent to the original one?

  • Multiplying the same expression by a nonzero real number into both sides
  • Dividing the same expression by a nonzero real number from both sides
  • Subtracting the same expression from both sides
  • Adding the same expression to both sides (correct)

What are the operations called that are sometimes called elementary transformations?

  • T.4 and T.5
  • T.1 and T.2 (correct)
  • T.3 and T.4
  • T.2 and T.3

Which type of equations are equivalent if they have the same solution set?

<p>Two equations (D)</p> Signup and view all the answers

What can be multiplied into both sides of an equation according to T.2?

<p>The same expression representing a nonzero real number (A)</p> Signup and view all the answers

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