m 1577152288!ce6.ccccd
TRANSCRIPT
8/8/2019 m 1577152288!Ce6.Ccccd
http://slidepdf.com/reader/full/m-1577152288ce6ccccd 1/10
Revised: June 2008 Page 1 Math 0310 Review for Final-v02
MATH 0310 Review for Final Exam
1. For the graph:
a. state the coordinates of they- intercept
b. state the slope
c. write the equation of theline
d. find the domain
e. find the range
x
y
1a _______________________
1b________________________
1c________________________
1d________________________
1e________________________
2. Find the slope of the line parallel to the line passing through 3, 1 and 4,2 .
2.________________
3. State the slope of the line perpendicular to the line 2 5 8 x y . 3.________________
A.2
5B.
5
2C.
2
5D.
5
2E.
8
5
4. For the following graph of f ,
determine:
a. 1 f
b. the domain of f
c. the range of f
x
y
4a_________________
4b_________________
4c_________________
8/8/2019 m 1577152288!Ce6.Ccccd
http://slidepdf.com/reader/full/m-1577152288ce6ccccd 2/10
Revised: June 2008 Page 2 Math 0310 Review for Final-v02
5. Find a linear function whose graph has 3m and y -intercept 0,2 . Then graph.
x
y
5____________
6. A table of values is given. Write the equation of the line through the given points.6____________
x y
2 8 1 3 0 2 1 7
2 12
7. Determine whether each relation is a function. Answer yes or no. 7_________________
x
y
x
y
x
y
8. a. Graph 3 x
x
y
b. Graph 2 y
x
y
8/8/2019 m 1577152288!Ce6.Ccccd
http://slidepdf.com/reader/full/m-1577152288ce6ccccd 3/10
Revised: June 2008 Page 3 Math 0310 Review for Final-v02
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 line 34 y x and containing the point 2, 4 .
Write the equation in the slope-intercept form.10_________________
For problems 11 – 15, find the following, given that 63 x x f and 12 x xg
11. x f g 11________________
12. 2g f 12________________
13. f g x 13________________
14. domain of xg 14________________
A. , B. 1,1 C. 1, D. 0 E. ,1
15. domain of x f
g
15________________
Solve the system of equations by graphing.
16.2
3
2
632
x y
y x
x
y
16________________
8/8/2019 m 1577152288!Ce6.Ccccd
http://slidepdf.com/reader/full/m-1577152288ce6ccccd 4/10
Revised: June 2008 Page 4 Math 0310 Review for Final-v02
Solve the following systems of equations.
17.5102
125
y x
x y17________________
18.1353
134
y x
y x18________________
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 and an adult plate cost $7.00. A total of $875 was collected. How many of each type ofplate were sold?
19. equations: _______________
19. solutions: _______________
20. Soybean meal is 16% protein and corn meal is 9% protein. How many pounds of each should bemixed 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 thesolution set in interval notation.
21. 45 y > 9 21_________________
22. 7 2 x < 4 22________________
23. 153 x or 1 4 x 23________________
24. 153 x and 1 4 x 24________________
25. Let ( ) 5 2 f x x. Find:
a. f ( –10) 25a_______________
b. f (0) 25b_______________
c. f (3) 25c_______________
d. State the domain of f 25d_______________
8/8/2019 m 1577152288!Ce6.Ccccd
http://slidepdf.com/reader/full/m-1577152288ce6ccccd 5/10
Revised: June 2008 Page 5 Math 0310 Review for Final-v02
26. Let 3 x x f
a. find 8 f 26a_______________
b. find the domain of x f 26b_______________
Simplify.
27. 3 8627 y x 27________________
A. 2 2 239 x y y B.2 2
3 x y C.3 5
3 x y D.2 2 233 x y y E.
3 43 x y
28.9
410
x28________________
29. 18 29________________
Perform the indicated operation and simplify.
30 x x x x 50287 30________________
31. a. i49 – i61 31a________________
b. i49 i61 31b________________
32. a. Rewrite 6 5 x
with rational exponents. 32a________________
b. Rewrite 2
1
x in radical notation. 32b________________
33. Rationalize each denominator:
a.3
x33a________________
b.
23
433b________________
c.i3
733c________________
Solve.
34. x = 1115 x 34 ________________
8/8/2019 m 1577152288!Ce6.Ccccd
http://slidepdf.com/reader/full/m-1577152288ce6ccccd 6/10
Revised: June 2008 Page 6 Math 0310 Review for Final-v02
35. 4133 x 35________________
36. Find the distance between the points 5,7 and 3,1 . 36_________________
37. Find the midpoint of the line segment that joins the points 5,7 and 3,1 .
37.______________
38. Find the equation of the circle in standard form if 5,7 is the center and 3,1 is a point on
the circle. 38_______________
39. For2
2 x + 962
y , state the center and radius of the circle. 39_______________
Solve.
40. 01832
x x 40_______________
41. 493 2 x 41_______________
42. 442 x x 42_______________
43. 05222
x x 43______________
A. 1 3i B. 2, 1 C.1 3
2 2i D. 1 11 i E. 1 11
44. 065 24 x x 44______________
45. Solve 2( ) 3 5 1 f x x x 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_______________
8/8/2019 m 1577152288!Ce6.Ccccd
http://slidepdf.com/reader/full/m-1577152288ce6ccccd 7/10
Revised: June 2008 Page 7 Math 0310 Review for Final-v02
47. For 2 2 3 f x x x find the:
a. vertex
b. axis of symmetry
c. direction the parabola opens
d. y intercept
e. x intercepts
f. minimum or maximum value
g. Graph the function.
x
y
47a._____________
47b______________
47c______________
47d______________
47e______________
47f.______________
48. Solve: 2 4 3 0 x x 48______________
49. Graph the linear inequality .1243 y x
x
y
50. Graph the solution set of the system of inequalities.
623
1
y x
x y
x
y
8/8/2019 m 1577152288!Ce6.Ccccd
http://slidepdf.com/reader/full/m-1577152288ce6ccccd 8/10
Revised: June 2008 Page 8 Math 0310 Review for Final-v02
MATH 0310 Review**Answer Key**
1. a.(0, 1) 8b.
b. m =3
1
c. y = 13
1 x
d.. ,
e. ,
2. 3m 9. a. E ( t ) = 0.1 t + 78.8
b. 80.8 years
3. B5
2m
10. 44 x y
11 732 x x x f g
4. a. 1 12. 5
b. 4 x x or 4, 13. f g x = 332
x
c. 1 y y or 1, ) 14. A ,
5. ( ) 3 2 f x x 15. 2 x x or (-∞, 2)U (2, ∞)
16. 632, y x y x
17. No solution
18. (4, –5)
6. 5 2 y x
7. Yes; No; Yes
19.87575.3
175
AC
AC
100 children's plates; 75 adults’ plates
8a.
20.)200(118.09.16.
200
y x
y x
80 lbs of soybean meal120 lbs of corn meal
8/8/2019 m 1577152288!Ce6.Ccccd
http://slidepdf.com/reader/full/m-1577152288ce6ccccd 9/10
Revised: June 2008 Page 9 Math 0310 Review for Final-v02
21.
( – , –1)
22.
5,6)
23.
( , 5 5, )
24. no solution
34. 5 x
35.21
x
36. 10
37. ( –1, 4)
25a. 5
b. 5
c. i
d. 25 x x or (-∞, 5/2]
38.2
5 x + 10072
y
39. center = 6,2 ; 3r
26a. 2
b. ,
40. x -6, 3
41. x 3 ± 7 i
27. D 3 2223 y y x
28.3
2 5 x
29. 23 i
42. x -2 ± 2 2
43. C x 1 32 2
i
44. x 6 , 6 , ,i i
30. 4 2 x x
31a. 8 – 10 i
b. 33 + 50 i
45. x .232, 1.434
46. 10 feet
32a. 65
x
b. x
33a.3
3 x
b.7
2412c.
21 7
10 10i
)-1
)6-5
5-5
8/8/2019 m 1577152288!Ce6.Ccccd
http://slidepdf.com/reader/full/m-1577152288ce6ccccd 10/10
Revised: June 2008 Page 10 Math 0310 Review for Final-v02
47a. 1.4 47g.
b. 1 x
c. downward
d. 0,3
e. 1,0 3,0and
f. maximum 4
x
y
48.
x (- , -3] [-1, )
49.
x
y
50.
x
y
-1-3