Download Math 0305 Review for Final Exam

Math 0305 Review for Final Exam
1. Simplify: 16  12  7  23  4
2. Simplify: 4  3x  7   2  x  2 
3. Solve: 12  4x  6  2x 14
4. Solve: 8x  4  x  4  3  x  3  5
5.
The sum of twice a number and 4 is equal to the sum of 3 times a number and 2.
Find the number.
6.
Solve for z : PR  x  y  z  w
7.
Solve the inequality: x  6  2( x  1) and write your solution in interval notation.
8.
Solve: 4  9 x  3  15
9. Graph: y  2  x  3
10. Determine if the ordered pair  3, 7  is a solution to the equation 4 x  y  12.
11. Graph: x  3 y  3
12. Write an equation of the line with a slope 5 and y-intercept 3 .
13. Find f  3 for f  x   2x2  4x  2 .
14. Multiply:
 3x y  5x y 
15. Subtract:
5x
16. Multiply:
 x  2  x2  5x  4
17. Multiply:
3x  4 7 x  9
18. Multiply:
 4x  7
2
3
3
5
6
 
 2 x 2  5  2 x3  8 x  7
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
2
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19. Multiply: 5 x 2 y 3  3x 2  2 xy 2  7 xy 3 
9 x5  6 x3  12 x 2
20. Divide:
3x 2
21. Divide:
24 x 2  10 x  9
3x  1
22. Simplify:
 2x y 
23. Simplify:
8x y 
 2x y 
3
2
2
4
3
3
Write your answer with positive exponents.
2
3
Write your answer with positive exponents.
22.
Factor: 3a 2  3ab  7a  7b
23.
Factor: x 2  8 x  48
24.
2
Factor: 2 x  x  63
25.
Factor: x 2  14 xy  24 y 2
26.
Factor: 9 x 2  30 x  25
27.
Factor: 12 x 2  2 x  10
28.
Factor: 5 x 2  180
29.
Factor: 27 x3  8
30.
Factor: 64  x 2
31.
Factor: x 2  16
32.
Solve: 6 x 2  15 x  0
33.
Solve: x 2  4 x  45  0
34.
2
Solve: x  17 x  82
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35.
A rectangular deck measures 15 ft. by 20 ft. What is the length of a diagonal between
opposite corners?
36.
Simplify:
x2  6 x  9
x 2  15 x  54
37.
Multiply:
x2  4
8x2
x 2  10 x  24 4 x 2  8 x
38.
x 2  6 x 3x  18
Subtract:

x6
x6
39.
Add:
40.
Divide:
41.
Find the least common denominator of
42.
Solve: 1 
43.
Solve:
44.
Is the following graph a function?
5
50
 2
x  5 x  25
20 x8
30 x 2

x 2  xy 5x 2  3xy  2 y 2
25
17
and
.
4 3
12x y
30x3 y 2
9
3
 x
x
x
3x
4x
80

 2
x 3 x 3 x 9
y




x














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MATH 0305 Review
**Answer Key**
11. Graph of x  3 y  3
1. 25
2. 10x – 32
3. x  
4. x 

4
3



10
3
x









6. z  PR  x  y  w


 8, 
8. x 


5. The number is –2.
7.
y
16 22
,
9 9
12. y  5 x  3
9. Graph of y  2  x  3
13. f (3)  32
14. 15x 7 y 9
y
8
15. 3x3  2 x 2  8 x  2
6
4
16. x3  7 x 2  14 x  8
2
-8
-6
-4
-2
x
2
4
6
8
17. 21x 2  x  36
10
-2
18. 16 x 2  56 x  49
-4
-6
19. 15 x 4 y 3  10 x3 y 5  35 x3 y 6
-8
20. 3x3  2 x  4
-10
10. The ordered pair is not a solution to
the equation.
21. 8 x  6 
22.
3
3x  1
 y12
8 x9
23. 8x 2 y 3
24.  a  b  3a  7 
25.  x  12 x  4
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26. ( x + 9) ( x − 7)
37. 25 ft.
27.  x  2 y  x  12 y 
38.
x3
x  18
39.
2x
x  12
28.  3 x  5 
2
29. 2  x  1 6 x  5
40. x  3
30. 5  x  6 x  6
5
x 5
31.  3x  2   9 x  6 x  4 
41.
32. 8  x 8  x 
2 x5  5 x  2 y 
42.
3
2
33. Prime
34. x  0,
43. 60x 4 y3
5
2
44. x  3, 4
35. x  9,  5
45. x  16, x  5
36. x = -9, x = -8
46. No
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