Solving Simple Algebra Equations

Mr. Abraka thought of a number and added 3 times the number. If the result is 2 times the number plus 4, what is the number?

Finding Mr. Abraka’s Number

  1. Understand the Problem:
    • Mr. Abraka thought of a number.
    • He added 3 times the number to the number.
    • The result is 2 times the number plus 4.
  2. Set Up the Equation:
    • Let’s call the number “X”.
    • Adding 3 times the number: X + 3X.
    • Resulting equation: X + 3X = 2X + 4.
  3. Simplify the Equation:
    • Combine like terms:
      • X + 3X is the same as 4X.
      • So, 4X = 2X + 4.
  4. Solve for X:
    • Move 2X from the right side to the left side:
      • 4X – 2X = 4.
      • Simplify to get: 2X = 4.
  5. Find the Value of X:
    • Divide both sides by 2:
      • 2X / 2 = 4 / 2.
      • So, X = 2.
  6. Check the Answer:
    • Original number (X) is 2.
    • 3 times the number: 3 * 2 = 6.
    • Add to the number: 2 + 6 = 8.
    • 2 times the number plus 4: 2 * 2 + 4 = 4 + 4 = 8.
    • Both sides match, so the number is correct!

Example with Emoji

  1. Understand the Problem:
    • Mr. Abraka 🤔 thought of a number.
    • He added 3 times the number ➕➕➕.
    • The result is 2 times the number ➗ plus 4 ➕4.
  2. Set Up the Equation:
    • Let’s call the number “X” (X represents the number) ➕X.
    • X + 3X = 2X + 4.
  3. Simplify the Equation:
    • Combine like terms:
      • X + 3X = 4X ➕➕.
      • 4X = 2X + 4.
  4. Solve for X:
    • Move 2X from the right side to the left side ➡️:
      • 4X – 2X = 4.
      • Simplify to get: 2X = 4.
  5. Find the Value of X:
    • Divide both sides by 2 ➗:
      • 2X / 2 = 4 / 2.
      • So, X = 2.
  6. Check the Answer:
    • Original number (X) is 2 🧮.
    • 3 times the number: 3 * 2 = 6 ➗.
    • Add to the number: 2 + 6 = 8 ➕.
    • 2 times the number plus 4: 2 * 2 + 4 = 4 + 4 = 8 ➕4.
    • Both sides match ✅, so the number is correct!

This method helps students understand how to solve the problem step-by-step and ensures they grasp the basic concepts of algebra.

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Algebraic Processes in Mathematics Second Term Lesson Notes Week 4

 

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