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

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

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

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

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

3a – a – a – a 3a – a – a – b 3a – a – b – b 3a – b – b – b a - b 2a – 2b 3a – 3b

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

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

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

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

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