Math 11 Study Video

Chapter 1 Determining the sum of an arithmetic series What is the sum of the first 30 terms of this arithmetic series? -5 -2 +1 +4 +… 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 = −5+82 30 2 = 2310 2 =1155

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,

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

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