question of algebra

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Math 105 – Intermediate Algebra
© 2017 Kuta Software LLC
HW #3 – Worth 100 points
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Date
Sketch the graph of each line.
1) 0 = -1 – x + y
1 1
2) 0 = -x+-+-y
3 3
A)
X
3) y – 5x = 0
y
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Algebra
Write the slope-intercept form of the equation of the line through the given point with the given
slope.
5
4) through: (4, -3), slope =-
1
5) through: (-4,-1), slope =
4
4
Write the slope-intercept form of the equation of the line through the given points.
b) through: (-3,-4) and (2,3)
7) through: (4,0) and (0, -3)
3) through: (-3,-2) and (3,-1)
9) through: (-1, 4) and (-4, 3)
10) through: (3, -5) and (3,-3)
Write the slope-intercept form of the equation of the line described.
1
1
11) through: (3, 1), parallel to y = -x +4
12) through: (-5, -5), parallel to y ==x+5
3
13) through: (5, 4), perp. to y=-5x – 4
14) through: (2, 3), perp. to y=-
2 / 룩
-x-3
15) Find the value of a such that the graphs of
1
5y = ax + 5 and y=x-1 are parallel.
10
16) Find the value of k such that the graphs of
x + 7y = 70 and y + 3 = kx are
perpendicular.
Find the rate of change.
17) After 30 baseball games, A-Rod had 25 hits.
If after 100 games he had 80 hits, what is
his average hits per baseball game.
18) HEALTH INSURANCE Premiums for
family health insurance plans have
increased steadily in recent years. In 2000,
the average premium was $6438 per year.
By 2008, this amount had increased to
$12,680 per year. Find the rate of change
(slope) of the average yearly family health
insurance premium with the respect to time,
in years.
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AIT
rights reserved -2-Made with infinite Algebra 2.
Writing an equation and solve.
2017 Kuta Software LLC.
All rights reserved -2-Made with infinite Algebra 2.
Writing an equation and solve.
19) A plumber charges $25 for a service call
plus $50 per hour of service.
a) Write an equation in slope-intercept form
for the cost, C, after h hours of service.
20) Based on information in DEEP RIVER
JIM’S WILDERNESS TRAILBOOK, the
rate at which crickets chirp is a linear
function of temperature. At 59º they make
76 chirps per minute, and at 65° they make
100 chirps per minute.
b) What will be the total cost for 8 hours of
work?
a) Write the particular equation expressing
chirping rate (c) in terms of temperature (1).
c) 10 hours of work?
b) Predict the chirping rate of 90° F.
c) How warm is it if you count 120 chirps
per minute?
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LLC
All rights reserver
Made with Infinite
Algebra 2