1.P
Simplify 6  x  y   2  x  y   3  x  2 y  .
Soln: 7 x  2 y
1.1
Subtract 6 y 2  6 y  13 from 3 y 2  4 y  7 .
Soln: 3 y 2  2 y  20
1.2
If a computer purchased for $11,200 depreciates at a rate of $1600 per year, how many years will it take to
depreciate completely?
Soln: 7 years
1.3
If straight-line appreciation is assumed, an antique clock is expected to be worth $350 after 2 years and $530
after 5 years. What will the clock be worth after 7 years?
Soln: $650
1.4
Find the equation of the line parallel to x  3 and passing through the midpoint of the segment joining  2, 4 
and 8,12  .
Soln: x  5
1.5
Solve 24 x 2  64 .
Soln: 2
1.6
Simplify
3 x  2  3
.
2 x  4   x  5
Soln: 3
 x  y   x  y
2
1.7
Write
2 xy
2
as a sum or difference of fractions and simplify completely.
Soln: 
1.8
x
1
y
Simplify 2
.
x
1
y2
Soln:
1.9
x y

y x
y
y
OR  1
x
x y
Solve 2 3x  24  0 .
Soln: 8
1.10
Simplify and factor
3
8x 4  3 xy 6 .
Soln:
 2x  y 
2
3
x
1.11
Solve  x  1  5  x  2   3 x  7 .
2
Soln:
1.12
Solve 2 4 x  1  9  x  5 .
Soln:
2.P
2,8
2, 6
Find the measure of each angle.
x+20
x+10
x
Soln: 50 , 60 , 70
2.1
 x y 4
Find the ordered pair satisfying the system 
.
2 x  y  13
Soln:
2.2
 3, 7 
The measure of an angle is 10 more than its supplement. What is the measure of the angle?
Soln: 95
2.3
The area of a square is 169 in2. What is the perimeter?
Soln: 52 in
2.4
How many square millimeters are in 1 square meter?
Soln: 1,000,000
2.5
2.6
For a particular word processor, the number of words w that can be typed on a page is given by the formula
8000
w
, where x is the font size. How many more words can be typed on a page if font size 8 is used instead
x
of font size 16?
Soln: 500
Find m  ABD  .
A
6x+8
D
C
B
4x+32
E
Soln: 80
2.7
Write the standard form of the equation of the circle with the graph:
Soln:
2.8
 x  3   y  2 
2
2
1
If m  T   65 in isosceles trapezoid QRST, find m  R  .
Q
R
T
S
Soln: 115
2.9
If ABC  DEC , find m  E  .
D
A
37
B
C
46
E
Soln: 97
2.10
What is the sum of the degree measures of the exterior angles of a heptagon?
Soln: 360
2.11
Given that l1 || l2 , determine the measure of the two angles that are labeled.
l1
l2
4x-10
2x+10
Soln: 70 ,110
2.12
A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be fenced. If 1000
yds of fencing is to be used, what are the dimensions of the largest rectangular field that can be fenced?
Soln: 250 yds by 500 yds
3.1
In a right triangle, one leg is 7 feet shorter than the other leg. The hypotenuse is 2 feet longer than the longer
leg. Find the length of the hypotenuse.
Soln: 17 ft
3.2
What is the remainder when x 7  x5  10 x3  12 is divided by x  2 ?
3.3
Solve for q:
Soln: 68
7
1
3
.


q  q  2 q 1 q  2
2
Soln: 1
3.4
The measure of each angle of a regular polygon is 165 . How many sides does it have?
Soln: 24
3.5
How much plastic sheeting will be needed to cover this swimming pool?
Soln: 400 m2
3.6
Simplify
8 x3  1
x 1
.

2
4 x  2 x  1  x  12
Soln:
3.7
 2 x 1 x 1
Find all solutions of 9 x 2  25  0 .
 5 
 5 5 
 i  OR   i, i 
 3 
 3 3 
3.8
Calculate
7  4i
.
2  5i
Soln: 
3.9
6 43
 i
29 29
Solve for x and y.
7.5
6
x
8
y
Soln: Both are 10
3.10
Find the volume of a cone with a height of 12 cm and a circular base with diameter 10 cm.
Soln: 100 cm3
3.11
Solve x 2  2 x  36  12 .
Soln:
3.12
What is the area of a circle with a circumference of 16 inches?
4.1
A green (G), a blue (B), a red (R), and a yellow (Y) flag are hanging on a flagpole.
1.
The blue flag is between the green and yellow flags.
2.
The red flag is next to the yellow flag.
3.
The green flag is higher than the red flag.
What is the order of the flags from top to bottom?
8, 6, 4,6 OR 8, 6, 4
Soln: 64 in2
Soln: GBYR
OR: green, blue, yellow, red
4.2
Factor ax  ay  az  bx  by  bz  cx  cy  cz completely.
Soln:
4.3
Find the domain of y 
x 1
.
x3  x
Soln:
 x  y  z  a  b  c 
 , 1   1,0   0,1  1, 
4.4
If one outlet pipe can drain a tank in 24 hours and another pipe can drain the tank in 36 hours, how long will it
take to drain the tank if both pipes are working together?
2
Soln: 14 hrs OR 14 hrs 24 min
5
4.5
Simplify i 99 .
4.6
4.7
Soln:  i
When the price is p dollars, an appliance dealer can sell  2200  p  refrigerators. What price will maximize his
revenue?
Soln: $1,100
A piece of tin 12 in on a side is to have 4 equal squares cut from its corners. If the edges are then to be folded
up to make a box with a floor area of 64 sq in, what is the total area removed from the piece of tin?
Soln: 16 sq in OR 16 in2
4.8
In 60 oz of alloy for watch cases, there are 20 oz of gold. How much copper must be added to the alloy so that a
watch case weighing 4 oz, made of the new alloy, will contain 1 oz of gold?
Soln: 20 oz
4.9
How many real roots does f  x    x2  2x  1 have?
Soln: 1
4.10
Express .047 as a fraction in lowest terms.
Soln:
4.11
Simplify
47
999
1
2
1
 2
 2
.
x  3x  2 x  4 x  3 x  5 x  6
2
Soln: 0
4.12
A bowling ball is packaged within a tightly fitting cubical box with 10 in sides. How much foam can fit around
the bowling ball but still inside of the box?
Soln: 1000 
500
 in3
3