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Sewanhaka High School Math 8 Name:__________________________ Mrs. Lidowsky, Principal Mr. Long, Teacher Per:____ Date:_____________________ H.W. #76: Ditto DO-NOW #76: Answer the following questions. Show work. 1) Brian paid $52.00 for a pair of sneakers. A week later, he noticed they were on sale for 30% off. How much money might he have saved if he bought the sneakers on sale? (NOTE: No sales tax.) 2) Express the following number in scientific notation: 3) Express the quotient of 28,420 = 3.6 * 10 5 in standard form: 2.842 * 10 4 Topic: Algebra Main Idea: Adding and Subtracting Polynomials Aim: RECALL In 2017, sales of digital audio players are expected to reach record numbers. The sales data can be modeled by the equation U = -2.7t2 + 49.4t + 128.7 which is an example of a polynomial. U represents the number of units shipped in millions and t represents the number of years since 2005. What is the value of t for the year 2007? What would be the value of t for the year 2010? Using the previous equation, find the value of U for the year 2007? Statement: Refer to the previous equation. How many monomials make up the expression that equals U? What are they? NOTES Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial. a. 4y - 5xz b. -6.5 c. 7a-3 + 9b d. 6x3 + 4x + x + 3 e. x f. -3y2 - 2y + 4y - 1 g. 5rx + 7 tuv h. 10x-4 - 8xa Statement: Write each polynomial in standard form. Identify the leading coefficient. a. 3x2 + 4x5 - 7x b. 5y - 9 - 2y4 - 6y3 c. 8 - 2x2 + 4x4 - 3x d. y + 5y3- 2y2 - 7y6 + 10 Find each sum or difference: a. (2x2 + 5x - 7) + (3 - 4x2 + 6x) b. (3y + y3 - 5) + (4y2 - 4y + 2y3 + 8) c. (3 - 2x + 2x2) - (4x - 5 + 3x2) d. (7p + 4p3 - 8) - (3p2 + 2 - 9p) The equations P = 7m + 137 and C = 4m + 78 represent the number of cell phones P and digital cameras C sold in m months at an electronics store. Write an equation for the total monthly sales T of phones and cameras. Then predict the number of phones and cameras sold in 10 months. Drill: Answer the following questions. Show work. 1) Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial. a. x2 + 2xy - 7 b. 14d 19e 3 5d 4 2) Write 12 + 5y + 6xy + 8xy2 in standard form. Identify the leading coefficient. 3) Find each sum or difference. a. (7y2 + 2y - 3) + (2 - 4y + 5y2) = SUMMARY: b. (6n2 + 11n3 + 2n) - (4n - 3 + 5n2) =