Download Algebra II Test

Algebra II Test
Chapter One
Please have a parent proctor the test. You should take no more than one hour to
complete the test. Calculators ARE permitted. Your parent must sign and date the
test when it’s complete. Due Monday, September 21, 2009.
Proctored by: ________________________________________
_______________
1. Solve the following equations for y.
a.
2y
 2  4x
5x
b. 3xy  3 y  2 x
2. For problem #1, find the value of y when x = 3.
a.
b.
3. Graph the following numbers on a number line.
2, π,
5 , -2.5, -1
4. Match the example equations on the left with the properties they illustrate on the
right.
a.
b.
c.
d.
3(2)  3(3)  3(2  3)
7 + (-7) = 0
(4 • 2) • 9 = 4 • (2 • 9)
5+3=3+5
___ inverse
___ commutative
___ distributive
___ associative
5. Your friend charges $15 to mow a lawn. For each lawn, she uses $3 in gas. Her
goal this summer is to save $500 for college.
a. Write an expression that represents her total profit after mowing l lawns.
b. Find her profit after mowing 46 lawns. Has she met her goal?
c. If not, how many more lawns must she mow to meet her goal?
6. One lawn care worker can mow 3 lawns in 60 minutes, and another worker can
mow 5 lawns in 75 minutes. How long will it take them to mow 7 lawns?
7. You can jog at a speed of 8 miles per hour, and run at a speed of 12 miles per
hour. If you traveled 6 miles in 40 minutes, find the amount of time you jogged
as well as the amount of time you ran.
8. You would like to burn your favorite songs onto a CD which has 800 Mb of
storage space. Each song is approximately 8 Mb. Write and simplify an
expression to describe the possible number of songs you can store on the CD.
Use s to represent the number of songs.
9. Graph the following inequalities.
a.
x  1
b.  3  x  6
c.
2x  3  2
d.
2 x  2  3x  6
10. The volume of a rectangular box can be found with the formula V = l • w • h.
Solve for l, and find the length of the rectangular box when w = 6 inches, h = 7
inches, and V = 210 cubic inches.
11. ½ x
4 ft
What is the value of x?
x
4 ft
x
4 ft
½x
A.
B.
C.
D.
E.
1/2
2/3
2
4
9/2
12. You travel on the highway at a speed of 60 miles per hour for 2.5 hours. How far
did you travel?
13. A ferry connects an island to the mainland. The island is 47 miles away, and a
one-way trip on the ferry takes 2.5 hours. What is the average speed of the ferry?
BONUS (5 pts.)
Tell whether the lines are parallel, perpendicular, or neither. You must support
your answer (you can’t just guess) 
Line 1: through (4,-2) and (5,-7)
Line 2: through (3,2) and (8,1)