10/2/08 Combining Like Terms #16 Retakes: -Quiz corrections due TODAY -Retakes Friday at lunch Quiz: -Tomorrow’s quiz on LCM, GCF, and prime factorization. -Assignment redo cutoff through # 10 4th period- set up for curriculum night! Today’s Plan -Correct -Questions/clarification -Combining Like Terms Assign. 2-9 B or C odds or evens on graph paper w/work

Insert Lesson Title Here Course 2 2-9 Combining Like Terms Insert Lesson Title Here Learn to combine like terms. Vocabulary term coefficient like terms

7 x 10/2/08 Combining Like Terms #16 Terms in an expression are separated by + and –. A term can be a number, a variable, or a product of numbers and variables. x 3 7x + 5 – 3y2 + y + term term term term term Coefficient Variable 7 term x Coefficient: a number that is multiplied by a variable

10/2/08 Combining Like Terms #16 Like terms are terms with the same variable raised to the same power. Constants, like 5, , and 3.2, are also like terms. 1 2 Like Terms Unlike Terms w 7 3x and 2x w and 5 and 1.8 5x2 and 2x 6a and 6b 3.2 and n Only one term contains a variable The exponents are different. The variables are different

2-9 Combining Like Terms Identify like terms in the list. Course 2 2-9 Combining Like Terms Identify like terms in the list. 3t 5w2 7t 9v 4w2 8v Like terms: 3t and 7t 5w2 and 4w2 9v and 8v Use different shapes or colors to indicate sets of like terms. Helpful Hint

Insert Lesson Title Here Course 2 2-9 Combining Like Terms Insert Lesson Title Here Identify like terms in the list. 2x 4y3 8x 5z 5y3 8z Look for like variables with like powers. 2x 4y3 8x 5z 5y3 8z Like terms: 2x and 8x 4y3 and 5y3 5z and 8z

Insert Lesson Title Here Course 2 2-9 Combining Like Terms Insert Lesson Title Here Combining like terms is like grouping similar objects. x x x x x x x x + = x x x x x x x x x x = 9x 4x + 5x To combine like terms that have variables, add or subtract the coefficients.

2-9 Combining Like Terms Combine like terms. A. 6t – 4t Course 2 2-9 Combining Like Terms Combine like terms. A. 6t – 4t 6t and 4t are like terms. 2t Subtract the coefficients. B. 45x – 37y + 87 In this expression, there are no like terms to combine.

Additional Example 2C: Combining Like Terms Course 2 2-9 Combining Like Terms Additional Example 2C: Combining Like Terms Combine like terms. C. 3a2 + 5b + 11b2 – 4b + 2a2 – 6 Identify like terms. 3a2 + 5b + 11b2 – 4b + 2a2 – 6 Group like terms. (3a2 + 2a2) + (5b – 4b) + 11b2 – 6 5a2 + b + 11b2 – 6 Add or subtract the coefficients.

Insert Lesson Title Here Course 2 2-9 Combining Like Terms Insert Lesson Title Here Combine like terms. C. 4x2 + 4y + 3x2 – 4y + 2x2 + 5 4x2 + 4y + 3x2 – 4y + 2x2 + 5 (4x2 + 3x2 + 2x2)+ (4y – 4y) + 5 9x2 + 5

2-9 B or C; odds or even (different than neighbor) On graph paper 10/2/08 Combining Like Terms #16 Assignment: 2-9 B or C; odds or even (different than neighbor) On graph paper Show all work Retakes: -Quiz corrections due TODAY -Retakes Friday at lunch Quiz: -Tomorrow’s quiz on LCM, GCF, and prime factorization. -Assignment redo cutoff through # 10 4th period- set up for curriculum night!

Additional Example 3: Geometry Application Course 2 2-9 Combining Like Terms Additional Example 3: Geometry Application Write an expression for the perimeter of the triangle shown. Combine like terms in the expression. 2x + 3 3x + 2 x Write an expression using the side lengths. x + 3x + 2 + 2x + 3 (x + 3x + 2x) + (2 + 3) Identify and group like terms. 6x + 5 Combine like terms.

Insert Lesson Title Here Course 2 2-9 Combining Like Terms Insert Lesson Title Here Try This: Example 3 Write an expression for the perimeter of the triangle shown. Combine like terms in the expression. 2x + 1 2x + 1 x Write an expression using the side lengths. x + 2x + 1 + 2x + 1 (x + 2x + 2x) + (1 + 1) Identify and group like terms. 5x + 2 Combine like terms.