Algebra Class: Solving 2-Step Equations
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Questions and Answers

What is the first step to solve the equation $2n + 7 = 25$?

  • Add 7 to both sides
  • Divide both sides by 2
  • Multiply both sides by 2
  • Subtract 7 from both sides (correct)
  • The equation $X/5 - 4 = -14$ can be solved by first multiplying both sides by 5.

    False (B)

    What is the solution for the equation $X + 3 = -7$?

    -10

    In the equation $3x = -18$, the value of x is ______.

    <p>-6</p> Signup and view all the answers

    Match the equations with their corresponding solutions:

    <p>2n + 7 = 25 = n = 9 X/5 - 4 = -14 = X = -50 X + 3 = -7 = X = -10 3x = -18 = x = -6</p> Signup and view all the answers

    Study Notes

    Solving 2-Step Equations

    • Equations: x + 3 = -7, x = -10; x / -2 = 5; 3x = -18
    • Order of Operations: When solving equations, follow the order of operations in reverse
    • Undoing Operations: To isolate the variable, perform the inverse operation of addition or subtraction first, followed by multiplication or division
    • Example (2n + 7 = 25):
      • Subtract 7 from both sides: 2n = 18
      • Divide both sides by 2: n = 9
    • Example (x/5 - 4 = -14):
      • Add 4 to both sides: x/5 = -10
      • Multiply both sides by 5: x = -50

    Simplifying Before Solving

    • Example (2x - 3x -5): Combine like terms: -x - 5

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    Description

    This quiz covers the techniques for solving 2-step equations, including the order of operations and undoing operations to isolate the variable. Through various examples, you'll learn how to simplify equations before reaching the solution. Test your skills and understanding of the concepts introduced in this lesson.

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