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

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

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

What is the name given to equations that have the same solution set?

  • Orthogonal equations
  • Inconsistent equations
  • Parallel equations
  • Equivalent equations (correct)

What is the name given to the operations on an equation that always result in a new equation which is equivalent to the original one?

<p>Elementary transformations (A)</p> Signup and view all the answers

What can be multiplied into both sides of an equation according to the text?

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

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