Algebra Class: Solving Equations
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Algebra Class: Solving Equations

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Questions and Answers

What is the first step in solving the equation $2x + 5 = 15$?

  • Divide both sides by 2
  • Multiply both sides by 2
  • Subtract 5 from both sides (correct)
  • Add 5 to both sides
  • After isolating the term with x in the equation $2x + 5 = 15$, what does the equation become?

  • $2x = 25$
  • $2x = 20$ (correct)
  • $2x = 10$
  • $2x = 15$
  • What is the next step after obtaining $2x = 10$?

  • Divide both sides by 2 (correct)
  • Multiply both sides by 2
  • Subtract 10 from both sides
  • Add 2 to both sides
  • What value of x is found when solving $2x + 5 = 15$?

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    If the equation was $2x + 5 = 20$, what would the value of x be?

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    Study Notes

    Solving Linear Equations

    • The first step is to isolate the term containing the variable, which is $2x$ in this case. This can be achieved by subtracting 5 from both sides of the equation.

    • After subtracting 5 from both sides, the equation becomes $2x = 10$.

    • The next step is to isolate the variable "$x$" by dividing both sides of the equation by 2.

    • Solving for $x$ in the equation $2x + 5 = 15$ gives us $x = 5$.

    • If the equation was $2x + 5 = 20$, then following the same steps, the value of $x$ would be $7.5$.

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    Description

    Test your understanding of solving linear equations with this quiz. You'll encounter questions on isolating variables, manipulating equations, and finding solutions. Perfect for reinforcing your algebra skills.

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