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Two-Step Equations Quiz
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Two-Step Equations Quiz

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@GratefulThunderstorm

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Questions and Answers

Which of the following steps is necessary to solve a two-step equation?

  • Raise both sides to a power
  • Multiply or divide a number to both sides
  • Take the square root of both sides
  • Add or subtract a number to both sides (correct)
  • What is the first step to solve the equation 3x + 7 = 16?

  • Multiply both sides by 3
  • Add 7 to both sides
  • Divide both sides by 3
  • Subtract 7 from both sides (correct)
  • What is the solution to the equation 5(x-2) = 25?

  • 8 (correct)
  • 7
  • 9
  • 6
  • What is the correct way to solve an absolute value inequality?

    <p>Set the expression inside the absolute value bars greater than or equal to zero and solve for x.</p> Signup and view all the answers

    Which of the following is a possible solution to the inequality |2x - 3| < 5?

    <p>x &gt; -1 or x &lt; 4</p> Signup and view all the answers

    What is the solution to the inequality |x + 2| > 3?

    <p>x &lt; -5 or x &gt; 1</p> Signup and view all the answers

    What is the first step to solve an absolute value inequality?

    <p>Isolate the absolute value expression</p> Signup and view all the answers

    What is the solution to the inequality |x - 3| ≥ 7?

    <p>x ≤ -4 or x ≥ 10</p> Signup and view all the answers

    What is the solution to the inequality |2x + 1| < 5?

    <p>-2 &lt; x &lt; 3</p> Signup and view all the answers

    Study Notes

    Solving Equations and Inequalities

    Two-Step Equations

    • To solve a two-step equation, it's necessary to isolate the variable, which involves adding, subtracting, multiplying, or dividing both sides of the equation by the same value.

    Equation 3x + 7 = 16

    • The first step to solve this equation is to subtract 7 from both sides, resulting in 3x = 9.

    Equation 5(x-2) = 25

    • The solution to this equation is x = 7.

    Absolute Value Inequalities

    • To solve an absolute value inequality, it's essential to isolate the absolute value expression, then split the inequality into two separate inequalities and solve for x.

    Inequality |2x - 3| < 5

    • A possible solution to this inequality is x < 4 or x > -2.

    Inequality |x + 2| > 3

    • The solution to this inequality is x < -5 or x > 1.

    First Step in Solving Absolute Value Inequalities

    • The first step to solve an absolute value inequality is to isolate the absolute value expression by moving all terms to one side of the inequality.

    Inequality |x - 3| ≥ 7

    • The solution to this inequality is x ≤ -4 or x ≥ 10.

    Inequality |2x + 1| < 5

    • The solution to this inequality is -3 < 2x < 9, or -1.5 < x < 4.5.

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    Description

    Test your knowledge on solving two-step equations with this quiz! Learn the necessary steps to solve these types of equations and practice with sample problems. Keywords: two-step equations, necessary steps, solve, sample problems.

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