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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Homework for Algebra – Graphs Slopes and intercepts

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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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…

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