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Chapter 1.7. Combining Like Terms. Review addition and subtraction. like terms – have the same variables and exponents . coefficient – the number that is in front of the variables in a term. Listing Like Terms. 1a . – 4b. 5a. + 2b. + 8a. 5a and 8a. 2b and - 4b. Listing Like Terms.
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Chapter 1.7 Combining Like Terms
like terms – have the same variables and exponents coefficient – the number that is in front of the variables in a term.
Listing Like Terms 1a. – 4b 5a + 2b + 8a 5a and 8a 2b and -4b
Listing Like Terms 1b. x2 + 3x + y2 – 7y2 y2and -7y2
Combine Like Terms y3 16 + 9 y3 2a. (16 + 9)y3 25y3 like terms combine coefficients
Combine Like Terms 5 a + 7 a + 4 2b. a (5 + 7 + 4)a 16a like terms combine coefficients
Combine Like Terms -8 y2 3. y2 – 9 + 4 y2 (-8 – 9 + 4)y2 (-17 + 4)y2 -13y2 like terms combine coefficients
Combine Like Terms a – 9.6 + 2 x 4a. a x 1.3 + 3 (1.3 – 9.6) x (3 + 2) a + 5a -8.3x like terms combine coefficients
Combine Like Terms ab 5 ab – 2ab2 – 3a2b + 6 4b. ab (5 + 6) – 2ab2 – 3a2b – 2ab2 – 3a2b 11ab like terms combine coefficients
Combine Like Terms 4c. 7x2y – 2xy2– 3x2y2 – 4xy no like terms
Combine Like Terms – – 3 x2y – 2 xy2 xy + 6 x2y xy 1 5. – 7 xy2 5 (5 – 1) (-2 – 7) xy (6 – 3) x2y xy2 4xy + 3xy2 – 9x2y like terms combine coefficients
14 7 a2 a2 – b – b 15 15 9 7 7 12 3 4 Combine Like Terms 1 1 5 a2 b a2 – b + 2 – LCD = 7 6. 3 7 12 2 = – 4 -5 1 + 14 ( )b ( )a2 7 12 LCD = 12 simplify like terms combine coefficients
Combine Like Terms 2 – 3b ) ( ( 6a + 2ab ) 7. 5a – 4 ab – 15 – 8 ab 10 – 24 a a (-15 – 8)ab (10 – 24)a distribute – 23ab -14a like terms combine coefficients
Chapter 1.7 Combining Like Terms