Download Math 80 Review for Exam 1

Math 80 Review for Exam 1
Solve the following.
4 y  6( y  5)  2
1.
3.
2.
15  7(1  x)  3( x  8)
2x x
 4
3 2
4. Find two consecutive even integers whose sum is 74.
5. Sue has $2.10 in dimes and nickels. If she has 9 more dimes than nickels, how many of each
coin does she have?
6. A store sells a printer for $125.85. It costs the store $81.72 for the printer. What is the markup
rate of the printer?
7. A sweater which normally sells for $45 is on sale for $29.25. What is the discount rate?
8. Heidi and Brandy are ticket-sellers at their school play. Heidi is handling the student tickets
that sell for $1.00 each and Brandy is selling adult tickets for $4.50 each. If their total income for
23 tickets is$68.50, how many did they both sell?
Solve for the indicated variable.
1
h  3t  at 2 for a
9.
2
10.
F  aT  T for T
Solve the following inequalities. Graph the solution set and write your answer in interval notation
and set builder notation.
1
1
3(4 y  3)  9(2 y  5)
11.
12.
4 (8 y  4)  17   2 (4 y  8)
13.
 3  4x  5  11
14.
1  a  2 and 2a  1  9
15.
3x  2  2 or 4  2x  14
16.
7  2x  1 or 13  5x  3
17.
3x 11  4 and 4x  9  1
Solve the following absolute values.
18. 2 x  3  4
19.
3 2 x  5  7  1
20.
3x  5  x  6
Solve the following inequalities. Graph the solution set and write your answer in interval
notation.
21.
22.
3y  4  8
4a  5  19
Sketch the following graphs. List the domain and range.
2x  4 y  8
23
24.
25.
f ( x)  ( x  2) 2
27.
g ( x)  2  x
Find the domain of the following functions
4x
f ( x) 
28.
x 1
30.
f ( x)  x 2  3 x
29.
31.
y  4  x2
26.
y  x3
g ( x) 
x 1
2x  5
h( x)  x  9
32. List the domain and range of the following, then draw a graphical representation of the
relation. Do the following represent a function?
a)
b) (2,4), (1,1), (0,0), (1,1)(2,4)
(3,2), (0,1), (2,2), (1,5)(3,4)
Evaluate the following functions.
f ( x)  x( x  8)
33.
f (8)
a)
f (10)
b)
f (4 x)
c)
34.
g ( x)  3 x  1
g (4)
a)
g ( x)
b)
g ( x  5)
c)
35. Problems #29-36 on pg 166-167 (Using the vertical line test)
36.
a) Find f(5)
b) Find f(-2)
c) Is f(-6) positive or negative?
d) For what numbers x is f(x)=0?
e) What is the domain of f?
f) What is the range of f?
g) For what number x is f(x)=2?
37. Suppose that the cost of renting a car is given by the equation C (n)  .25n  35 where C is
cost and n is number of miles driven
a) What is the implied domain of this linear function?
b) What is C(0)? Explain what this result means.
c) How many miles would have to be driven in order to have a cost of $65?
d) Graph the linear function.
e) What are the independent and dependent variables?
38. Find the slope and y-intercept of the following equations and use it to graph.
3x  2 y  10
5x  4 y  8  0
a)
b)
39. Find the equation of the line going through the following points.
m  4; (2,5)
a)
b) (-3,6) and (3,2)
40. Graph using the x and y-intercepts.
4x  2 y  8
x y 3
a)
b)
Write equations of the line that pass through the given point and are a) parallel and b)
perpendicular to the given line.
41. (2,5)
42. (-3,-4)
2 x  y  7
 2x  6 y  2