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
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.
Set Up the Equation :
Let’s call the number “X”.
Adding 3 times the number: X + 3X.
Resulting equation: X + 3X = 2X + 4.
Simplify the Equation :
Combine like terms:
X + 3X is the same as 4X.
So, 4X = 2X + 4.
Solve for X :
Move 2X from the right side to the left side:
4X – 2X = 4.
Simplify to get: 2X = 4.
Find the Value of X :
Divide both sides by 2:
2X / 2 = 4 / 2.
So, X = 2.
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
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.
Set Up the Equation :
Let’s call the number “X” (X represents the number) ➕X.
X + 3X = 2X + 4.
Simplify the Equation :
Combine like terms:
X + 3X = 4X ➕➕.
4X = 2X + 4.
Solve for X :
Move 2X from the right side to the left side ➡️:
4X – 2X = 4.
Simplify to get: 2X = 4.
Find the Value of X :
Divide both sides by 2 ➗:
2X / 2 = 4 / 2.
So, X = 2.
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.
Algebraic Processes in Mathematics Second Term Lesson Notes Week 4
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