MATH 0310 Review for Final Exam

1. For the graph:
a. state the coordinates of the
y-intercept
b. state the slope
  1. write the equation of the line
  1. find the domain
  1. find the range
/ / 1a ______
1b______
1c______
1d______
1e______

2. Find the slope of the line parallel to the line passing through and .

2.______

3. State the slope of the line perpendicular to the line . 3.______

A. B. C. D. E.

4. For the following graph of ,
determine:
a.
b. the domain of
c. the range of / / 4a______
4b______
4c______

5. Find a linear function whose graph has and-intercept . Then graph. 5______

6. A table of values is given. Write the equation of the line through the given points.6______

7. Determine whether each relation is a function. Answer yes or no. 7______

8. a. Graph / / b. Graph /

9. In 1990, the life expectancy of females was 78.8 yr. In 2000, it was 79.8 yr.

Let E(t) represent the life expectancy of females and t the number of years since 1990.

a. Find a linear function that fits the data. 9a______

b. Use the function to estimate the life expectancy of females in 2010. 9b______

10. Find an equation of the line perpendicular to the lineand containing the point .

Write the equation in the slope-intercept form.

10______

For problems 11 – 15, find the following, given that and

11. 11______

12. 12______

13. 13______

14. domain of 14______

A. B. C. D. E.

15. domain of 15______

Solve the system of equations by graphing.

16. / / 16______

Solve the following systems of equations.

17. 17______

18. 18______

19. Write the systems of equations. Then solve.

Retail orders. The St. Andrew’s Community Barbecue served 175 dinners. A child’s plate cost

$3.50 andan adult plate cost $7.00. A total of $875 was collected. How many of each type of

plate were sold?

19. equations: ______

19.solutions: ______

20. Soybean meal is 16% protein and corn meal is 9% protein. How many pounds of each should be

mixed to get a 200-lb mixture that is 11.8% protein?

20.equations: ______

20.solutions: ______

For the following exercises, solve and graph the solution set on a number line. Then write the solution set in interval notation.

21. 21______

22. 22______

23. or 23______

24. and 24______

25. Let . Find:

a. (–10) 25a______

b. (0) 25b______

c. (3) 25c______

  1. State the domain of 25d______

26. Let

  1. find 26a______
  1. find the domain of 26b______

Simplify.

27. 27______

A. B. C. D. E.

28. 28______

29. 29______

Perform the indicated operation and simplify.

30 30______

31. a. – 31a______

b. 31b______

32. a. Rewrite with rational exponents. 32a______

b. Rewrite in radical notation.32b______

33. Rationalize each denominator:

a. 33a______

b. 33b______

c. 33c______

Solve.

34. = 34______

35. 35______

36. Find the distance between the points and . 36______

37. Find the midpoint of the line segment that joins the points and . 37.______

38. Find the equation of the circle in standard form if is the center and is a point on

the circle. 38______

39. For +, state the center and radius of the circle. 39______

Solve.

40. 40______

41. 41______

42. 42______

43. 43______

A. B. C. D. E.

44. 44______

45. Solve using a calculator. Round to three decimal places. 45______

46. The area of a rectangular football field is 90 feet. If the length exceeds the width by one foot,

what is the length of the field?

46______

47. For find the:
a. vertex
b. axis of symmetry
c. direction the parabola opens
d. intercept
e. intercepts
f. minimumor maximum value
g. Graph the function. / / 47a.______
47b______
47c______
47d______
47e______
47f.______

48. Solve: 48______

49. Graph the linear inequality /
50. Graph the solution set of the system of inequalities.
/

MATH 0310 Review

**Answer Key**

1. a.(0, 1) 8b.
b. =
c. =
d..
e. /
2. / 9. a.() = 0.1 + 78.8
b. 80.8 years
3. B / 10.
11
4. a. 1 / 12. 5
b.or / 13. =
c. or / 14. A
5. / 15. or (-∞, 2)U (2, ∞)
/ 16.
17. No solution
18. (4, –5)
6.
7. Yes; No; Yes / 19.
100 children's plates; 75 adults’ plates
8a.
/ 20.
80 lbs of soybean meal
120 lbs of corn meal
21.
(–,–1)

22.


23.

24. no solution / 34.
35.
36. 10
37. (–1, 4)
25a. 5
b.
c.
d. or (-∞, 5/2] / 38. +
39. center =;
26a.
b. / 40. {-6, 3}
41. {3 ± 7 }
27. D
28.
29. / 42. {-2 ± 2}
43. C
44.
30.
31a. 8 – 10
b. 33 + 50 / 45.
46. 10 feet
32a.
b.
33a.
b.
c.
47a. 47g.
b.
c. downward
d.
e.
f. maximum /
48.

49.
50.

Revised: Mar 2008Page 1 Math 0310 Review for Final-v01.doc