Download 7-5 Multiplying a Polynomial by a Monomial.notebook

7­5 Multiplying a Polynomial by a Monomial.notebook
February 14, 2017
2/14/17 Honors Algebra Warm­up
A. The profit a business makes is found by subtracting the cost to produce an item C(x) from the amount earned in sales E(x). The cost to produce and the sales amount earned could be modeled by the following equations, where x is the number of items produced.
C(x) = 100x2 + 500x – 300
E(x) = 150x2 + 450x + 200
Find an equation that models the profit. B. What does this equation predict the profit would be if 30 items were produced and sold? Feb 25­7:45 AM
7­4 HW: p.387 #29­34
29. 1.8n2 – 42n +860
30. 635 outdoor 31. Length = ­2x + 60
Width = ­2x + 40
Girth = ­2x + 80
32. ­4x + 140 ≤ 108
x ≥ 8 inches
33. 19 inches
34. 5xy2 and 3x2 y do not have the same variable with the same exponents.
Mar 10­9:44 AM
7­5 Multiplying a Polynomial by a Monomial.notebook
February 14, 2017
Introduction: When runners race around a curved track, why are their starting points staggered? If the radius of the inside lane is x and each lane is 2.5 feet wide, how far apart should the officials start the runners in the inside lane and the outside (6th) lane? Round to the nearest tenth. 4 ft
Mar 10­9:47 AM
7­5 Multiplying a Polynomial by a Monomial
1A.
Find 6y(4y2 – 9y – 7).
1B.
Find 3x(2x2 + 3xy + 5y2).
Feb 25­7:59 AM
7­5 Multiplying a Polynomial by a Monomial.notebook
2A.
Simplify 3(2t2 – 4t – 15) – 6t(5t + 2).
2B.
Simplify 5(4y2 + 5y – 2) ­ 2y(4y ­3).
February 14, 2017
Feb 25­8:01 AM
3. Matt’s grandmother left him $10,000 for college. Matthew puts some of the money into a savings account earning 3% interest per year. With the rest, he buys a certificate of deposit (CD) earning 5% per year.
A. If Matt puts x dollars into the savings account, write an equation for the total amount of money T(x) Matt will have saved for college after one year. B. If Matt puts $3000 in savings, how much money will he have in one year?
Feb 25­8:01 AM
7­5 Multiplying a Polynomial by a Monomial.notebook
4A.
Solve b(12 + b) – 7 = 2b + b(–4 + b).
4B.
Solve x(x + 2) + 2x(x – 3) + 7 = 3x(x – 5) – 12. Feb 25­8:01 AM
February 14, 2017