1. Math 11 Study Video

2. Chapter 1 Determining the sum of an arithmetic series
What is the sum of the first 30 terms of this arithmetic series? … D=3 T1=-5
Find Tn = 𝑇 1 +𝑑 𝑛−1
𝑇 30 =−5+7 30−1 3
𝑇 30 =82
Next we use 𝑆 𝑛 = 𝑎+𝑇𝑛 𝑛 2 to find our sum
𝑆 30 = − = =1155

3. Adding and Subtracting Radical Expressions
Simplify: 2 𝑥 −3 𝑦 +5 𝑥 +2 𝑦 = 2 𝑥 +5 𝑥 −3 𝑦 +2 𝑦 =2 𝑥 +5 𝑥 =7 𝑥 & −3 𝑦 +2 𝑦 = 𝑦 =7 𝑥 − 𝑦
Combine like terms,

4. Factoring Polynomial Expressions
(6x – 5) (6x – 5)
To verify, expand!
32𝑥 2 −60𝑥+25

5. Completing the Square 𝑦= 2𝑥 2 −20𝑥+32 = 2𝑥 2 −20𝑥+_____+32
= 2𝑥 2 −20𝑥+_____+32
= 2(𝑥 2 −10𝑥+25)+32−50
= 2( 𝑥−5) 2 −18