Algebra Algebra

Building the basics Multiplication can be calculated in any order 2×3×4=6×4=24 2×3×4=2×12=24 2×2×2=2× 2 2 =2 3 =8 In algebra 𝑎×𝑏=𝑏×𝑎=𝑎𝑏 2×𝑎×4=8×𝑎=8𝑎 𝑐×𝑐×𝑐= 𝑐 3 2×𝑎×𝑏×𝑏=2𝑎 𝑏 2 Addition and subtraction 5+5+5+5=4×5 3+3+8+8+8=2×3+3×8 In algebra 𝑎+𝑎+𝑎+𝑎=4𝑎 𝑏+𝑏+𝑡+𝑡+𝑡=2𝑏+3𝑡 5+𝑛+4+𝑛=9+2𝑛 3×𝑠+5=3𝑠+5

Building the basics Multiplication using algebra 4𝑧×2=4×𝑧×2=8𝑧 3𝑝𝑟×2𝑞=3×𝑝×𝑟×2×𝑞 =6𝑝𝑞𝑟 Using integers and variables Positive x positive = positive Negative x negative = positive Positive x negative = negative −4𝑎×3𝑏=−4×𝑎×3×𝑏=−12𝑎𝑏 Exponents in algebra 3𝑏×2𝑏=3×𝑏×2×𝑏=6 𝑏 2 𝑠 𝑡 2 ×4𝑠=𝑠×𝑡×𝑡×4×𝑠=4 𝑠 2 𝑡 2 𝑎 𝑏 2 ×3𝑎=𝑎×𝑏×𝑏×3×𝑎=3 𝑎 2 𝑏 2

Building the basics Simplifying Divisions 24 𝑑𝑖𝑣𝑖𝑑𝑒𝑑 𝑏𝑦 2 𝑐𝑎𝑛 𝑏𝑒 𝑤𝑟𝑖𝑡𝑡𝑒𝑛 𝑎𝑠 24÷2 𝑜𝑟 24 2 = 12×2 2 =12 Algebra uses the same skills 5𝑎 𝑎 = 5×𝑎 𝑎 =5 12𝑏 6𝑏 = 2×6×𝑏 6×𝑏 =2 14 𝑐 2 7𝑐 = 2×7×𝑐×𝑐 7×𝑐 =2𝑐 23 𝑦 2 2 𝑦 3 = 23×𝑦×𝑦 2×𝑦×𝑦×𝑦 = 23 2𝑦