Sample content Math 209 150 points Work the following problems. Show all your own work for maximum credit. An incorrect answer, with no associated calculations has no basis for partial credit. Each problem is worth 10 points. Post your completed work as an attachment in your individual forum. 1. Perform the indicated operations: ➢ (- 8×2 + 5x – 12) + (- 3×2 – 9x + 18) Combining like terms we get -8×2 -3×2 + 5x – 9x -12 + 18 -11×2-4x+6 ➢ (a+b)(a2 +ab + b2) Using FOIL we get a3+a2b + ab2+ a2b + ab2 + b3 a3+2a2b+2ab2 + b3 ➢ -3a3b7 9a2b10 using rules of exponent am/an = am-n we get -a3-2/3b10-7 -a/3b3 ➢ (3x + 5)(2x – 6) Using FOIL we get 6×2-18x + 10x -30 6×2-8x -30 ➢ (- 5w3r2) * (2w4 r8) Using the law of exponents am *an = am+n we get -10w7r10 2. The newest jet fighter, the F-22 Raptor, cruises at 1.5 times the speed of sound. The speed of sound is 1.24×103 km/hr. How many hours d

1. MATH 209 Week 5 Final Quiz
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Sample content
Math 209
150 points

2. Work the following problems. Show all your own work for maximum credit. An
incorrect answer, with no associated calculations has no basis for partial credit.
Each problem is worth 10 points. Post your completed work as an attachment in
your individual forum.
1. Perform the indicated operations:
➢ (- 8×2 + 5x – 12) + (- 3×2 – 9x + 18)
Combining like terms we get
-8×2 -3×2 + 5x – 9x -12 + 18
-11×2-4x+6
➢ (a+b)(a2 +ab + b2)
Using FOIL we get
a3+a2b + ab2+ a2b + ab2 + b3
a3+2a2b+2ab2 + b3
➢ -3a3b7
9a2b10
using rules of exponent am/an = am-n we get
-a3-2/3b10-7
-a/3b3
➢ (3x + 5)(2x – 6)
Using FOIL we get
6×2-18x + 10x -30

3. 6×2-8x -30
➢ (- 5w3r2) * (2w4 r8)
Using the law of exponents am *an = am+n we get
-10w7r10
2. The newest jet fighter, the F-22 Raptor, cruises at 1.5 times the speed of sound.
The speed of sound is 1.24×103 km/hr. How many hours does it take for the
F-22 to fly the 5.8×103 km from New York to Paris? Demonstrate the use of
scientific method in your calculations.
Distance = speed x time
Time = distance/speed
Time = 5.8 x 103/1.24 x 103
Time = 4.677 x 103-3 => 4.68 hrs
3. Jason and Mary have a new baby. They want to invest $20,000 at the baby’s
birth in order to have $100,000 for the baby’s college education. What interest rate
do they need to earn in order to achieve this in 18 years?
Use the following formula to determine the average interest rate:
r = (S/P)1/n – 1
where S = the final amount
P = the initial investment
n = number of years
Using S = 100,000, P = 20,000 and n = 18 we get
r = (100000/20000)1/18-1
r = (5)1/18-1

4. r =1.0935-1
r = 0.0935
So the rate of interest will be 9.35% or approximately 9.4%
4. A retailer of DVD players knows that at a price of q dollars per player, he can
sell (900 – 3q) players per month. Write a polynomial, in function notation, that
represents the monthly income from the sale of DVD players.
Monthly income = (900-3q)*q
=> monthly income = 900q – 3q2
5. A red ball and a green ball are simultaneously tossed into the air. The red ball
is given an initial velocity of 96 feet per second, and its height, t seconds after it is
tossed is( -16t2 + 96t )feet. The green ball is given an initial velocity of 80 feet per
second, and its height, t seconds after it is tossed is (-16t2 + 80t ) feet.
5.1. Write the algebraic expression, in simplest form, that represents the difference
in heights between the two balls at any time, t.
Difference in heights = -16t2+96t – (-16t2+80t)
⇨ difference = -16t2+96t +16t2-80t
⇨ difference = 16t
5.2. How much higher is the red ball after 2 seconds?
Put t = 2
Difference = 16(2) = 32 ft
6. What are the six steps in the strategy for completely factoring polynomials?
Factor o

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