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Lesson 6 Combininb Like Terms February 6.notebook Warmup: Under Monday on your answer sheet. February 07, 2017 Check IP: Explain why the equations below are NOT equivalent to the equation 16x + 24 1. 4(8x + 12) 4(8x) + 4(12) = 32x + 48 2. 8(2x + 24) 8(2x) + 8(24) = 16x + 192 3. 8(2 + 3x) 8(2) + 8(3x) = 16 + 24x SLIDE TO REVEAL ANSWER SLIDE TO REVEAL ANSWER SLIDE TO REVEAL ANSWER Jan 263:34 PM Jan 2612:38 PM Spiral: 2/6 Combining like terms ANYTHING HIGHLIGHTED IN YELLOW NEEDS TO BE COPIED INTO YOUR SPIRAL!!!!! Vocabulary: copy into Spiral Like Terms Terms with the exact same variables or variables Click to reveal definition raised to the same power. Examples 4x and -10x 15xy and 17xy Click to reveal Answers -2x2y and 7x2y Apr 159:23 AM term - a number, a variable, or a product or quotient of numbers and variables. You can have many terms in an equation or expression. -9xy3 and 13xy3 Feb 259:00 PM Determine whether the terms and LIKE or UNLIKE terms. Drag the correct word over the terms. Write in Notes -4x and -10x coefficient - the number in front of the term. like terms - terms that have the same variables raised to the same exponent (or power), but could have different coefficients. 3x2y 13xy and 5y LIKE 5x2 and 9x UNLIKE UNLIKE 3xy2 and 7x2y 9x2y and 4x2y LIKE 17ab and -21ab UNLIKE LIKE LIKE UNLIKE term Page 8 terms, etc. Feb 259:19 PM 1 Lesson 6 Combininb Like Terms February 6.notebook Examples of terms: Are they like terms or unlike terms? • 3x and -7x like • 6w and 8y unlike • 8y2, 2y2 and -3y2 like • 5, 89 and 100 like • 4x and 4x unlike • 5 and 8x unlike • x3y4 and ½x3y4 like 2 February 07, 2017 Identify the like terms in the following expressions: Pull Pull Ex.9 3y 3y + 2x22yy - x + 44 + 3x22yy - 55 + 7x 7x - x2y Pull Pull Pull 6x + 6x 7y22 + 10x 10x2 Ex.10 6x 6x22 + 7x + 7y + 7y 10x + 10x Pull Pull Page 9 game like terms or not like Page 10 identify like terms. Simplifying like terms: combine like terms by adding or subtracting the coefficients. Use the operation in front of the coefficient to determine whether to add or subtract. (Copy into Notes) Combining Like Terms - Important Note Simplifying Expressions by Combining Like Terms You can combine like terms by adding their numerical coefficients. Examples: NOTE: The subtraction sign and the negative sign mean the same thing. 1. 5x + 9x - 12x Examples: • 4 - 9 becomes 4 + (-9) as an addition problem so the subtraction symbol tells you that the 9 is negative 2. 14x + 9 + 6x 14x + 12x slide to reveal answer 14x + 6x + 9 slide to reveal answer 2x 20x + 9 • 5a - 4 becomes 5a + (-4) as an addition problem so the subtraction symbol tells you the 4 is negative. Feb 259:32 PM Feb 259:25 PM Simplify each expression: Ex.11 7x + 9x + 8 + 13 16x 21 Simplify the expressions by combining like terms. Move to reveal Ex.12 19x2 + 7y2 + 21x2 4x + 2y + 3x +7y + 5 1 40x 2 7y 2 2x2 + x2 + 5x + 6x + 2 + 4= 16x + 21 slide to reveal answer Ex.13 9a + 60a -10 69a - 10 slide to reveal answer the 7x + 9y + 4 answer Move to reveal the 3x2 + 11x + 6 answer 40x2 + 7y2 slide to reveal answer Ex.14 -7n - 21 - 8 - 64n 218 7n 64n 71n 29 -71n - 29 71n 29 Move to reveal 7y2 2y + 3xy xy + 5 x 2 = 2 the 5y2 + 2xy + 5x answer 3x2 + 5x2 + 4x 8x + 8 11 = Move to reveal the 2x2 4x 3 answer slide to reveal answer Page 12 Simplify each expression. Mar 3111:34 PM 2 Lesson 6 Combininb Like Terms February 6.notebook More Examples ~ work it out and then we will discuss 3. 9a2 - 6ab - 11a2 + 10ab 2 slide to reveal answer = 2a + 4ab 2 2 9a 11a 6ab + 10ab = 4ab Slide to reveal work 2 2 9a + 11a = 2a February 07, 2017 Guided Practice: work them in your spiral or white boards. (5 minutes) share with partner (3 minutes) Simplify each expression. 2. 5x2 - 9 - 7x2 + 16 1. -6x + 7x + 13x 2 4. -6a + 7 - 3b - 4 + 2a + b 3b + b = 2b Slide to reveal work 6a + 2a = 4a slide to reveal answer = 4a 2b + 3 3. 3xy + 7x - 8xy + 9x 4. 8a2 + 9a - 9a2 - 17a 7 4 = 3 Feb 259:28 PM May 312:21 PM IP: pg 313 (1024) all & Weekly Review IP Jan 277:34 PM Feb 62:31 PM 3