Page 610 - Algebra 1

SOLUTION
Rearrange the distance formula t = _d , and use it to write expressions for the r
time of each flight. Then add the expressions. __
total time =
=
2000 + 2000 __
time going = 2000 time returning = 2000 500 - w 500 + w
500 - w 500 + w
2000 (500 + w)+ 2000 (500 - w)
____ 500-w 500+w 500+w 500-w
1,000,000 + 2000w + 1,000,000 - 2000w ____
=
= 2,000,000 + 2000w - 2000w = 2,000,000
(500 - w)(500 + w) (500 - w)(500 + w) _____
Math Reasoning
Estimate About how long is the round-trip flight if the wind speed is 50 mph?
(500 - w)(500 + w) time of the round-trip flight.
(500 - w)(500 + w) (500 - w)(500 + w)
__
The expression 2,000,000 , where w is the wind speed, represents the
Lesson Practice
Add or subtract. Simplify your answers.
(Ex 5)
A kayaker paddles 5 miles one way against the current and then makes the return trip with the current. Write and simplify an expression for the total time of the kayaking trip, assuming that the rate of the current remains constant and that the kayaker’s paddling rate averages 1.5 miles per hour.
e. g.
d -5d-36 d -5d-36
___ _
4mn + 11mn b. 7y-2 - y-38 __ __
a.
(Ex 1)
c.
(Ex1)
x - 3 f. +
(Ex3) x+3 x2 +5x+6 (Ex4) t4 -2 2-t4
24m 24m
d4 + 2d3 2d3
(Ex 1)
y + 6 y + 6
__ __ 2 + 2
-3p 2p _ _3
d. 2 + 4 (Ex2) _
6p p
-1 t+9
Practice
Distributed and Integrated
Find the distance between the given points. Give the answer in simplest radical form.
1. (-3, -1) and (4, 2) (86)
Factor completely.
3. 12+17x+6x2
(75)
2. (1, 1) and (9, 1) (86)
4. 21t+4t2 -49 (75)
Determine whether the polynomial is a perfect-square trinomial or a difference of two squares. Then factor the polynomial.
5. 9x4 +42x2y+49y2 6. x6 +16x3 +64 (83) (83)
Lesson 90 595