Algebra 1
Formulas and Rules
FACTORING
DIFFERENCE OF SQUARES: (𝑎 + 𝑏)(𝑎 − 𝑏) = 𝑎 − 𝑏
2 2
SUM OF PRODUCT PATTERN: 𝑥 + 𝑏𝑥 + 𝑐 = 𝑥 + 5𝑥 + 6 → (𝑥 +
2 2
PERFECT SQUARES: (𝑎 + 𝑏) = 𝑎 + 2𝑎𝑏 + 𝑏
2 2 2
GROUPING:
1. 𝑎𝑏 + 𝑎𝑐 + 𝑑𝑏 + 𝑑𝑐
2. (𝑎𝑏 + 𝑎𝑐) + (𝑑𝑏 + 𝑑𝑐)
3. 𝑎(𝑏 + 𝑐) + 𝑑(𝑏 + 𝑐)
4. (𝑎 + 𝑑)(𝑏 + 𝑐)
Graphs & lINES
∆𝑦2− 𝑦1
Slope: ∆𝑥2− 𝑥1
Slope-iNTERCEPT fORM: 𝑦 = 𝑚𝑥 + 𝑏
Point-slope form: 𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1)
Formulas and Rules
FACTORING
DIFFERENCE OF SQUARES: (𝑎 + 𝑏)(𝑎 − 𝑏) = 𝑎 − 𝑏
2 2
SUM OF PRODUCT PATTERN: 𝑥 + 𝑏𝑥 + 𝑐 = 𝑥 + 5𝑥 + 6 → (𝑥 +
2 2
PERFECT SQUARES: (𝑎 + 𝑏) = 𝑎 + 2𝑎𝑏 + 𝑏
2 2 2
GROUPING:
1. 𝑎𝑏 + 𝑎𝑐 + 𝑑𝑏 + 𝑑𝑐
2. (𝑎𝑏 + 𝑎𝑐) + (𝑑𝑏 + 𝑑𝑐)
3. 𝑎(𝑏 + 𝑐) + 𝑑(𝑏 + 𝑐)
4. (𝑎 + 𝑑)(𝑏 + 𝑐)
Graphs & lINES
∆𝑦2− 𝑦1
Slope: ∆𝑥2− 𝑥1
Slope-iNTERCEPT fORM: 𝑦 = 𝑚𝑥 + 𝑏
Point-slope form: 𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1)
