1.) Solve for
x: 
2.) Multiply and simplify:
(a)
(b)
3.) Of the four lines below, which two are perpendicular to each other? (explain why!)
(1) 
(2) 
(3) 
(4) 
4.) Solve the
inequality:
≤ 
5.) Graph the
inequality: 
< 4
6.) Simplify: 
7.) Perform the indicated operation and simplify, if possible.
(a) 
(b) 
8.) Perform the indicated operation and simplify, if possible.
Be sure to rationalize the denominator if necessary.
Assume all variables are positive.
(a)
(b)
9.) Subtract and
simplify: 
10.) Solve for x
by completing the square: 
11.) (a)
If 
, find 
.
(b) State the domain and the range of
the function: 
12.) Factor completely:
(a)
(b)
13.) Solve for
x: 
14.) A formula for converting the temperature in degrees Celsius (C) to degrees
Fahrenheit (F) is
.
What is the temperature in degrees Celsius if it is 5° Fahrenheit?
15.) A straight line passes through the points (4, -3) and (-2, 3).
(a) Find the slope of the line.
(b) Find the equation of the line in slope-intercept form.
16.) Simplify. Write your answers without negative exponents.
Assume all variables are positive.
(a)
(b)
17.) Solve for
x: 
18.) Convert each of the following:
(a)
2 × 
to decimal notation (b) 3,800,000 to scientific
notation
19.) Simplify: 
20.) Divide: 
21.) Graph the
parabola: 
.
Clearly state the y-intercept, any x-intercept(s), and the vertex.
22.) Consider the
equation of the line 
:
(a) Find the slope.
(b) Find the y-intercept. Write your answer as an ordered pair.
(c) Graph the line. Label two points.
23.) Ken invests a total of $18,000 in two different stocks.
After one year, Stock A earns 10% interest while Stock B earns 8% interest.
How much did he invest in each if his total interest was $1580?
24.) For the
rational expression: 
(a) Find the values of x for which the expression is undefined.
(b) Simplify completely.
25.) Solve the system. If there is no solution or an infinite number of solutions, state this.
ANSWERS
1.) x = 7 2a.) 
3.) lines 2 and 4
2b.) 
(slopes
are neg. reciprocals)
4.) x ≥ -3 5.) x-int (-4,0) 6.) 
y-int (0,2)
dotted line
shade below
7a.) 
8a.) 
9.) 
7b.) 
8b.) 
10.) x = 
11a.) 9
11b.) D: 
R:
12a.) 3x(x-3)(x+2) 13.) no solution 14.) -15 degrees Celsius
12b.) (4x-y)(3x-2y)
15a.) m = -1 16a.) 
17.) x = 
15b.) y = -1x + 1 16b.) 
18a.) .002 19.) -8x3 – 13x2 – 15 20.) 5x6
+ 3x – 1 + 
18b.) 3.8 × 106
21.) y-int (0,8) 22a.) m
= 
23.) $7000 in Stock A
Vertex (1,9) 22b.) (0,2) $11000 in Stock B
x-int (4,0) (-2,0)
opens downward
24a.) x = 4 and 1 25.) infinite solutions
24b.) 