Chapter 44: Simplifying Expressions

✏️ Explanation

Simplifying expressions means combining like terms and removing brackets when possible.

🔍 Why It Matters

It helps to make complex expressions easier to understand and solve.

📌 Visual Flowchart

🧭 See chart: "Simplify Like Terms" (to be added)

Identify Like Terms

Find terms with the same variable and power

Group Like Terms

Put similar terms together

Combine

Add or subtract the coefficients

🔤 Understanding Like Terms

Like Terms

3x and 5x
2y and -7y
4a and a

Same variable, same power

Unlike Terms

3x and 2y
x² and x
5 and 3a

Different variables or powers

Constant Terms

5 and 3
-2 and 8
10 and -1

Numbers without variables

✏️ Worked Example

Simplify: 3x + 5 + 2x – 3

Step 1: Identify like terms

x terms: 3x and 2x
Constants: 5 and -3

Step 2: Group like terms

(3x + 2x) + (5 – 3)

Step 3: Combine

5x + 2

🧮 Interactive Expression Simplifier

Enter an expression to simplify:

Simplified Expression:

Grouping like terms: (3x + 2x) + (5 - 3)

5x + 2

🔢 Practice Exercises

1. Simplify: 4a + 3a

Answer:

2. Simplify: 2x + 3 + x + 5

Answer:

3. Simplify: 5b – 2b + 6

Answer:

4. Simplify: 10 – 2y + 4y

Answer:

5. Simplify: 7m + 3n – 2m

Answer:

⚠️ Common Mistakes

Combining unlike terms (e.g., mixing x and y)
Dropping signs (+/–)

✨ Quick Summary

Group like terms, then add or subtract them.