Math 1010 Section 5 Review 1
Name:
Read all directions carefully. The review will be graded on completion and will be
worth 20 homework points. You can nd the complete solutions to the review posted
on my website www.math.utah.edu/~malone.
1. Use order of operations to simplify the following:
2
5
5(4 + 7) (8 + 2) 5 + (4 + 10) 2
x
x
x
2. Find all solutions to the equation 3
9 + 7( + 5) = 9 ( + 2) 7.
3. Vans A, B, and C leave a park at 3:00, 3:30, and 4:00. If the vans travel down
the same interstate at 50mph, 57mph, and 60mph respectively which van will
pass van A rst (B or C)? How long will it take van C to pass van B?
4. Find all solution to the compound inequality 2 + 1
5 7
10 .
5. Find all solutions to the equation j4 + 5j = 14
6. Graph on the real number line all solutions to j2 + 5j 15.
7. Find all solutions to the equation j + 3j j 2j = 10 and check all your
answers.
8. Given the points ( 1 6) and (2 11) nd the distance between the points and
also the midpoint of the line segment between them.
9. Use the point plotting method to graph the function ( ) = jj 1j 4j (should
probably use 7 points instead of 5).
10. Graph the line that passes through the points ( 2 1) and (8 2) then write the
equation for the line in General Form and Slope-intercept form.
11. Find an equation of a line through the point ( 6 7) that is parallel to 2 +
5 = 17
12. Find an equation of a line through the point (2 3) that is perpendicular to
3 + 7 = 10.
13. Graph all solutions to 4 5 15.
14. If ( ) = + 4 + 1 then nd (1), ( 2), (1 3 ), and T x hh T x but do
not simplify the last 2.
2
x
x
x
1
x
3
x
x
<
x
<
x
x
x
x
;
x
;
2
x
R x
;
;
;
x
y
;
x
y
x
T x
3
x
x
y
T
T
15. Find the domain of the function h(x) =
T
( + )
z
4x3 7x2 +19x 6
(4x)(5x+2)( 3x+2)
p
.
( )
16. Determine whether or not the following graph is a function of x.
17. Using the graph of ( ) = graph the function ( ) = ( + 5) 6 using
shifts and reections (need to write down explicitly how you are shing and
reecting the graphs) and state the domain and the range.
18. Check whether the points (2,1) and (-5,6) are solutions to the system of equations
f x
2
x
g x
x
2
=5 9
4 3 =5
y
x
x
y
19. Solve the following system of equations using the method of substitution:
7 + = 68
11 = 12
x
x
y
y
20. Solve the following system of equations using the method of elimination:
3 + 4 = 19
2 6 =4
x
x
y
y