Math 1010 Section 5 Final
Name:
Read all directions carefully and show all your work for full credit.
Good Luck!!!
u3
v 3 = (u
v )(u2 + uv + v 2)
u3 + v 3 = (u + v )(u2
1. (10pts)
2. (10pts)
3. (10pts)
4. (10pts)
5. (10pts)
6. (10pts)
7. (10pts)
8. (10pts)
9. (10pts)
10. (10pts)
11. (10pts)
12. (10pts)
13. (10pts)
14. (10pts)
15. (10pts)
16. (10pts)
17. (10pts)
18. (10pts)
19. (10pts)
20. (10pts)
Bonus (10pts)
total (200)
uv + v 2)
1. Multiply out the following expression and simplify.
(
x
4)(2 + 1)(3
x
x
5)
2. Give the equation of the line passing through the point (2 3) that is parallel to
2 3 = 1.
;
x
y
3. Find all solutions to the equation
p
11
4. If ( ) =
one.
F x
3
x
2
8
2
x
p
11
5 +4=0
x
p + 4 then nd (3) and (5 7) but do not simplify either
x
x
F
F
t
5. Find all the solutions to
6
2
x
2 +3=
x
2
x
5 + 10
x
6. Given the points (2 3) and ( 2 4) nd the distance between them and the
midpoint on the line segment connecting them.
;
;
7. Perform the division (Hint: Can't use synthetic)
4
x
7 3 + 15 2 19 + 6
2
5 +2
x
x
x
x
x
8. Find the slope of the line that passes through (2 1) and ( 2 5). Then write
down the equation of the line that passes through the points in General form
and Slope-intercept form.
;
;
9. Find all the solutions to
1 = +4 3 +
x
10. Find all solutions to
j5
x
2
x
7
+ 8 + 15
x
7j = + 3
x
11. Using the rules of exponents simplify the following expression
(7
(3
4
x y
x
)
)
2 4 3
z
1 y 3z 6 4
12. Graph on the real number line all the solutions to
j4
x
7j 5
13. Find the domain of the function
p
( )= 3
5
T x
6
x
3
x
p
100
4
x
+5
x
14. Solve the following system of equations any way that you would like.
4 3 = 13
5 + 6 = 26
x
y
x
y
15. Factor completely 4
8
x
36 6 + 4
x
16. Graph all solutions to 4 + 2
x
y >
5
x
36
3
x
10 in the rectangular coordinate system.
17. Find all real and complex solutions to 6 3 + 4 2 + 3 + 5 = 0 when + 1 is one
of the factors.
x
18. Sketch the graph of all the solutions to 4
x
x
x
x
7 2 + 7 on the real number line.
x
19. Using your knowledge of shifts and reections of graphs to graph the following
( )= j
G x
x
3j + 5
20. Find the slope, y-intercept, x-intercept, and graph the following line
7 + 3 = 42
x
y
Bonus Solve the following system of equations. (Hint solve the last two equations rst
then substitute the answers back into the rst one.)
3 + 6 2 = 37
4 + 5 = 21
2 + 3 = 17
x
y
x
x
z
y
y