Math 6

(1) Discuss one topic that you struggled with in this homework assignment Be specific. Use a specific problem from the homework assignment or text and give as much of the solution process as you can. If you choose this option make sure you cover all three parts: several sentences on what you found confusing, a specific problem which was confusing, and your solution process up until where you got stuck. “I have no idea how to start” is not a solution process.(2) Discuss one example of 
a current homework topic 
arising in either your profession or your hobby of interest. Make sure your example is detailed and includes specific NUMERICAL examples. Your response should be a paragraph or more.

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Running head:

[INSERT TITLE HERE]

[INSERT TITLE HERE]

Student Name

Allied American University

Author Note

This paper was prepared for [INSERT COURSE NAME], [INSERT COURSE
ASSIGNMENT] taught by [INSERT INSTRUCTOR’S NAME].

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Directions: Please show all of your work for each problem. If applicable, you may find
Microsoft Word’s equation editor helpful in creating mathematical expressions in Word. There
is a tutorial on using this equation editor in Module 1 Lecture Notes. You also have the option of
hand writing your work and scanning it.

1. Find the y-intercept of the line represented by the following equation. –2x + 2y = 16

2. Write the equation of the line with slope –4 and y-intercept (0, –9).

3. Write the equation of the line with slope
1
2

− and y-intercept (0, 3).

4. One day, the temperature at 9:00 A.M. was 49°F, and by 3:00 P.M. the temperature was

61°F. What was the hourly rate of temperature change?

5. Determine which two equations represent parallel lines.

(a) y = –7x + 3 (b) y = 7x + 3 (c) y =
1
7

x + 3 (d) y = –7x + 6

6. Determine which two equations represent perpendicular lines.

(a) y =
5
6

x – 5 (b) y = 5

x –
5
6

(c) y =
1
5

− x +
5
6

(d) y =
1
5

x –
5
6

7. Are the following lines parallel, perpendicular, or neither?

L1 through (–4, –7) and (1, 3)
L2 through (2, 6) and (4, 10)

8. Are the following lines parallel, perpendicular, or neither?

L1 with equation x – 5y = 25
L2 with equation 5x + y = 5

9. Find the slope of any line perpendicular to the line through points (8, 4) and (9, 7).

10. A line passing through (6, –10) and (–1, y) is perpendicular to a line with slope
7
2

. Find

the value of y.

11. Use the concept of slope to determine whether the given figure is a right triangle (i.e., does

the triangle contain a right angle?).

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12. Write the equation of the line that passes through point (0, 9) with a slope of 6.

13. Write the equation of the line passing through (1, –8) and (1, 3). Write your results in

slope-intercept form, if possible.

14. Write the equation of the line with x-intercept (–9, 0) and undefined slope. Write your

results in slope-intercept form, if possible.

15. A copier was purchased by a company for $7,500. After 5 years it is estimated that the

value of the copier will be $4,500. If the value in dollars V and the time the copier has
been in use t are related by a linear equation, find the equation that relates V and t.

16. You have at least $60 in change in your piggy bank, consisting of quarters and pennies.

Write an inequality that shows the different number of coins in your piggy bank.

17. If f(x) = –x3 – x2 + 2x + 6, find f(–2), f(0), and f(3)

18. Rewrite the equation y = 2x + 2 as a function of x.

19. The inventor of a new product believes that the cost of producing the product is given by

the function: C(x) = 2.75x + 2,000. How much does it cost to produce 6,000 units of his
invention?

20. Given f(x) = –5x + 3, find f(a + 1).

21. Write the equation of a line that passes through (0, 4) and has a slope of -1/5.

22. Write the equation of a horizontal line with a y-intercept of 7.

23. What is the slope and the y-intercept of y=3x+1?

24. What is the slope and y-intercept of y=-3?

25. What is the slope and y-intercept of 6x+y=10?

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26. Determine whether the lines are parallel, perpendicular, or neither.
Y=-3x+1
Y=-3x-8

27. Determine whether the lines are parallel, perpendicular, or neither.

2x-y=-10
2x+4y=2

28. Determine whether the lines are parallel, perpendicular, or neither.

Line 1 passes through (0, 3) and (2, 5)
Line 2 passes through (5, -4) and (-3, 3)

29. Write the equation of a line that passes through (4, 0) and (-4, -5). Write your answer in

slope-intercept form.

30. Write the equation of a line that passes through (-1, 2) and (3, 5). Write your answer in

slope-intercept form.

31. Write the equation of a line that passes through (1, -45) with a slope of -3. Write your

answer in slope-intercept form.

32. Write the equation of a line that passes through (-2, 5) with a slope of -4. Write your

answer in slope-intercept form.

33. Write the equation of a line that passes through (-2, 5) and (-6, 13). Write your answer in

slope-intercept form.

34. f(x)=1/2x Find f(0)

35. f(x) = 4x^2+3x Find f(-2)

36. f(x)=3x+3 Find f(-1)

37. f(x)=5x^2-7 Find f(0)