Unit 2: Adding Similar (like) Terms

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Presentation transcript:

Unit 2: Adding Similar (like) Terms Similar terms have identical variables: Similar 2a -7a 2xy 3xy 5x2y -2x2y 4ab 6ba 3st -2ts Not Similar 3a -b 5ab 6ac 7a2b -8ab2 8xy 9yz 3x2 -2x3

(we add the numerical coefficients) Adding Similar Terms (we add the numerical coefficients) Simplify the following (add similar terms): Example (1): 3a + 7a = (3 + 7)a = 10a

Example (2): 8b – 6b = (8 – 6)b = 2b Example (3): 12c – 5c + 3c = (12 – 5 + 3)c = 10c

Example (4): 8x – 11x + 3y = (8 – 11)x + 3y = – 3x + 3y Example (5): 2a – 5b + 2b = 2a + (– 5 + 2)b = 2a + (– 3)b = 2a – 3b

Example (6): 8(x – 3) + 10 = 8x – 24 + 10 = 8x – 14 Expand and Simplify the following: (multiply and add similar terms): Example (6): 8(x – 3) + 10 = 8x – 24 + 10 = 8x – 14 Example (7): 6(x + 2) – 5(2x + 5) = 6x + 12 – 10x – 25 = 6x – 10x + 12 – 25 = (6 – 10)x + (12 – 25) = – 4x – 13