Do Now 9/19/12 Take out HW from Friday. Take out HW from Friday. Text p. 24, #7-20 all, evens, 36 & 37 Text p. 24, #7-20 all, evens, 36 & 37 Copy HW in your planner. Copy HW in your planner. Text p. 28, #8-24 evens, #17, 35, & 36 Text p. 28, #8-24 evens, #17, 35, & 36 Quiz sections Wednesday Quiz sections Wednesday Chapter 1 Test Friday Chapter 1 Test Friday Be ready to copy POTW#2. Be ready to copy POTW#2.

Homework Text p. 24, #7-20 all, evens, 36 & 37 7) 5 + x 7) 5 + x 8) y – 2 8) y – 2 9) n ÷ 8 9) n ÷ 8 10) 9n 10) 9n 11) 3y – 10 11) 3y – 10 12) 45 ÷ v 12) 45 ÷ v 13) 5 + 2t 13) 5 + 2t 14) m + 6n 14) m + 6n 15) (23 ÷ u) – t 15) (23 ÷ u) – t 16) 6k – 14 16) 6k – 14 17) 2(y + 5) 17) 2(y + 5) 18) 100 ÷ (6 + w) 18) 100 ÷ (6 + w) 19) 35(r – 45) 19) 35(r – 45) 20) a. 17n 20) a. 17n b. 68 pounds b. 68 pounds 22) h plus 3 22) h plus 3 24) s minus ) s minus ) 5 times the quantity a 26) 5 times the quantity a minus 8 minus 8 28) the quantity r plus 1 28) the quantity r plus 1 divided by 14 divided by 14 30) 8m 30) 8m 36) B 36) B 37) ( · 2)x; $426 37) ( · 2)x; $426

Objective SWBAT identify the parts of variable expressions SWBAT identify the parts of variable expressions In your notebook, compare and contrast a mathematical expression (number sentence) and a regular “word” sentence. For example: “ ” and “See spot run.”

Parts of an Expression 7x + 9y + 15 Terms a number, variable, or product of numbers and variables that are always separated by addition signs Section 1.5 “Simplifying Algebraic Expressions” The terms of the expression are 7x, 9y, and 15

Parts of an Expression 3x + 5x y 3x + 5x y Coefficient a number that is multiplied by a variable in an expression The coefficient is always 1 for a variable with no number in front of it. 1 The coefficients of the expression are 3, 5, and 1

Parts of an Expression 3x + 2x + 8 3x + 2x x² x² + 7 Like Terms terms with the same variables raised to the same exponents 3x + 2x 3x + 2x Constant terms are like terms. Identify the like terms.

Identify the Like Terms t 3 3y³ 7t 4.5y³ x² 5 8x² 2t t 3 3y³ 7t 4.5y³ x² 5 8x² 2t 2 Like Terms terms with the same variables raised to the same exponents Like terms: t, 2t, and 7t 2 3 and 5 3y³ and 4.5y³ x² and 8x²

Simplifying an Expression 3x + 2x + 8 3x + 2x + 8 Like Terms terms with the same variables raised to the same exponents You can simplify an expression by COLLECTING LIKE TERMS 3x + 2x + 8 3x + 2x + 8 5x + 8 5x + 8

Simplifying an Expression COLLECT LIKE TERMS 2n n + 3 2n n + 3 6n n n + 4n n + 4n Commutative Property

Simplifying an Expression COLLECT LIKE TERMS 4n² + 7n + n² + 9n 4n² + 7n + n² + 9n 5n² + 16n 5n² + 16n 4n² + 1n² + 7n + 9n 4n² + 1n² + 7n + 9n Commutative Property 4n² + 7n + 1n² + 9n 4n² + 7n + 1n² + 9n The coefficient is always 1 for a variable with no number in front of it.

Simplifying an Expression COLLECT LIKE TERMS 5x³ + 3y + 7x³ - 2y – 4x² 5x³ + 3y + 7x³ - 2y – 4x² 12x³ + 1y – 4x² 12x³ + 1y – 4x² Commutative Property 5x³ + 7x³ + 3y – 2y – 4x²

Simplifying Expressions in Geometry What is the perimeter of the trapezoid? What is the perimeter of the trapezoid? 3x 5x 2y 2y Perimeter is the distance around a figure. 3x + 2y + 5x + 2y (reorder terms) (reorder terms) Add together each of the sides. 3x + 5x + 2y + 2y (combine like terms) 8x + 4y units

What Did You Learn Today? Terms of the expression are separated by addition signs Like Terms terms with the same variables raised to the same exponents Constant term that has no variable Coefficient a number that is multiplied by a variable in an expression

Homework - Text p. 28, #8-24 evens, #17, 35, & 36 24

Simplify the Expression A. 3a + 2b + 7a B. 5b² b² C. 2x – – 3x D. x + y – 12y – 3x A). 10a + 2b B). 15b² + 7 C). -x + 9 or -1x x + 9 D). -2x + (-11y) or -2x – 11y -2x – 11y