Math 1010 Section 5 Test1
Name:
Read all directions carefully and show all your work for full credit.
Good Luck!!!
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)
total (140)
1. Find all solutions to the equation 5 + 3 ( + 7) = 4 (2 + 5) 10.
2
x
x x
x
2. Find all solutions to the compound inequality 2 + 3
and graph them on the real number line.
x
<
x
7 + 21 6 + 20
x
x
3. Find all solutions to the equation j6
x
3j = 3.
4. Graph on the real number line all solutions to j2
x
7j 11.
5. Given the points (2 5) and (10 1) nd the distance between the points and
also the midpoint of the line segment between them.
;
;
p
6. Use the point plotting method to graph the function ( ) = jj
1j 2j
(graphing 5 points should be enough). Hint: (the domain of the function is all
reals greater than zero.)
R x
x
7. Find the slope of the line that passes through the points (1 3) and ( 3 25)
then write the equation for the line in General Form and Slope-intercept form.
;
;
8. (a) Find an equation of a line through the point (5 1) that is parallel to
4 + 7 = 11
;
x
y
(b) Find an equation of a line through the point (111 100) that is perpendicular to 3 7 + 12 = 0.
;
x
y
9. Graph all solutions to 3
x
6 18 in the rectangular coordinate system.
y
10. If ( ) = 5 + 6 then nd ( 3), (1), (4 + 7 + 10 ), and
simplify the rst 2 but do not simplify the last 2.
T x
2
x
x
T
T
T
y
y
3
T (x+h) T (x)
h
11. Find the domain of the function h(x) =
p
p
5 x
(x+2)(4x 8)
.
p
graph the function ( ) =
3 + 2 using
12. Using the graph of ( ) =
shifts and reections (need to write down explicitly how you are shing and
reecting the graphs) and state the domain.
f x
x
g x
x
13. Solve the following system of equations using the method of substitution:
5
6 = 21
2 + =5
x
y
x
y
14. Solve the following system of equations using the method of elimination:
7 + 4 = 29
3 2 = 13
x
x
y
y