Homework for Algebra – Graphs Slopes and intercepts

Homework for Algebra 20 simple brief questions about 5 of them you need to line on a graph, the rest is simple problems shouldn’t take more than 2 hours at most to finish.
hw3___math_105___100_points.pdf

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Math 105 – Intermediate Algebra
Name___________________________________
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HW #3 – Worth 100 points
Date________________
Sketch the graph of each line.
1) 0 = -2 y – 2 – 3x
2) -5 + y + 7x = 0
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6 x
3) -12 = -12x + 3 y
y
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-1
-2
-3
-4
-5
-6
Worksheet by Kuta Software LLC
-1-
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Write the slope-intercept form of the equation of the line through the given point with the given
slope.
4) through: (4, -3), slope = –
5
4
5) through: (-4, -1), slope =
1
4
Write the slope-intercept form of the equation of the line through the given points.
6) through: (-3, -4) and (2, 3)
7) through: (4, 0) and (0, -3)
8) 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
11) through: (3, 1), parallel to y = x + 4
3
1
12) through: (-5, -5), parallel to y = x + 5
5
13) through: (5, 4), perp. to y = -5x – 4
2
14) through: (2, 3), perp. to y = – x – 3
7
15) Find the value of a such that the graphs of
1
1
5 y = ax + 5 and y = x – 1 are parallel.
4
10
16) Find the value of k such that the graphs of
x + 7 y = 70 and y + 3 = kx are
perpendicular.
Find the rate of change.
17) JET TAKEOFF. Upon takeoff, a jet climbs
to 4 miles as it passes over 40 miles of land
below it. Find the slope of the jet’s climb.
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.
Worksheet by Kuta Software LLC
-2-
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Writing an equation and solve.
19) PLAYING FOR A CONCERT. A famous
band is considering playing a concert and
charging $40,000 plus $5 per person
attending the concert. Write an equation
relating the income y of the band to the
number x of people attedning the concert.
20) CAR RENTAL. The U Drive car rental
agency charges $30.00 per day and $0.25
per mile.
a. Find an equation relating the cost C of
renting a car from U Drive for a one-day trip
covering x miles.
b. Draw a graph of the equation in part (a)
(Use graph below)
c. How much does it cost to rent the car for
one day covering 60 miles?
d. How many miles were driven if the
one-day rental cost was $47.75?
y
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
-3
-2
-1
1
2
3
4
5
6 x
-2
Worksheet by Kuta Software LLC
-3-
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