1. Simplifying Expressions: Adding & subtracting like terms
Silent
Teacher
Intelligent Practice
Narration
Your Turn
3𝑎−𝑎−𝑎−𝑎
3𝑎−𝑎−𝑎−𝑏
3𝑎−𝑎−𝑏−𝑏
Practice

2. Worked Example
Your Turn
Simplify: 𝑎+𝑎+𝑎+𝑏
Simplify: 𝑎+𝑎+𝑏+𝑏

3. a + a + a + a
a + a + a + b
a + a + b + b
a + b + b + b
b + b + b + b 4a
3a + b
2a + 2b
a + 3b 4b

4. 3a + 3a + 3a + 3a
3a + 3a + 3a + b
3a + 3a + b + b
3a + b + b + b
b + b + b + 3b
12a
9a + b
6a + 2b
3a + 3b 6b

5. Worked Example
Your Turn
Simplify: 𝑎−𝑎+𝑎+𝑏
Simplify: 2𝑎−𝑎+2𝑏−𝑏

6. 3a – a – a – a
3a – a – a – b
3a – a – b – b
3a – b – b – b
a - b
2a – 2b
3a – 3b

7. 3a – b – a – b
3a – b – a – b – a – b
3a + 3b – b – a – b – a
3a + 3b – b – b – a – a
3a + 3b – b – b – b – a – a – a
2a – 2b
a – 3b
a - b

8. Simplify: 𝑎 2 + 𝑎 2 + 𝑎 2 + 𝑏 2 Simplify: 2 𝑎 2 + 𝑎 2 +2 𝑏 2 + 𝑏 2
Worked Example
Your Turn
Simplify: 𝑎 2 + 𝑎 2 + 𝑎 2 + 𝑏 2
Simplify: 2 𝑎 2 + 𝑎 2 +2 𝑏 2 + 𝑏 2

9. 7a2
9a2
7a2 + 2b2
7a2 + 5b2
9a2 + 3b2
5a2 + a2 + a2
5a2 + 3a2 + a2
5a2 + a2 + a2 + a2 + a2
5a2 + a2 + a2 + b2 + b2
5a2 + a2 + a2 + 2b2 + 3b2
5a2 + a2 + b2 + 2b2 + 3a2

10. Simplify: 𝑎 2 − 𝑎 2 + 𝑎 2 + 𝑏 2 Simplify: 2 𝑎 2 − 𝑎 2 +2 𝑏 2 − 𝑏 2
Worked Example
Your Turn
Simplify: 𝑎 2 − 𝑎 2 + 𝑎 2 + 𝑏 2
Simplify: 2 𝑎 2 − 𝑎 2 +2 𝑏 2 − 𝑏 2

11. 5a2
3a2
7a2 + b2
3a2 - b2
5a2 - a2 + a2
5a2 - a2 - a2
5a2 + a2 + a2 - a2 - a2
5a2 + a2 - a2 + b2 - b2
5a2 + a2 + a2 + 3b2 - 2b2
5a2 + a2 + b2 - 2b2 - 3a2