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.
• 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.
• 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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