Name:
Wayne State University
Department of Mathematics
Rising Scholars Program
MAT 0993: Beginning Algebra
Winter 2010 Final Exam – Version 001
WAYNE STATE UNIVERSITY MATH PROGRAM AT WESTERN INTERNATIONAL HIGH SCHOOL
ALGEBRA II IN-CLASS WORKSHEET AND HOMEWORK 58 WINTER 2010 NAZELLI
Show all work to receive full credit. No calculators allowed.
1) Place each of the following numbers in the appropriate place on the number line:
a) 2
7
8
4
b)
3
2
5
12
1
c)
0
6
5
1
d)  2.3
2
3
4
2) Arrange the numbers .6274 ,
3
, .62 and in order with the smallest on the left.
5
3) One bag of cashews weighs 1
1
1
pounds. Another bas weighs of a pound. What’s the total weight
3
4
of the two bags?
4) The temperature of an object is 10 . If the temperature decreases 14 , what would the temperature
be then?
5) A patient receives 3.2 milligrams of medication per hour. How many milligrams will she receive in
2.1 hours?
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5
6) Circle all of the following that are not real numbers.
A)
0
4
B)
0
0
C)
5
0
D)
0
2
7) A test contained 40 questions. A student answered 70% of the 40 questions correctly. How many
questions did she answer correctly?
8) Simplify:
41  2  25
9  22
9) Evaluate: 3 x 2  5 x  2 when x  2 .
10) Simplify by adding or subtracting wherever possible:  2 x 3  7 y  5x 3  xy  2 y  4 xy


11) Subtract and simplify: 7 x 2  2 x  1  4 x 2  5x  3
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  a b 
12) Multiply and simplify: a 3b
2
2

5

13) Multiply and simplify: x  1 3x 2  2 x  1
14) Multiply and simplify: 2 x  1
2
15) Factor completely: 5x 2 y  10 xy3  10 x 2 y 2  5xy 2
16) Factor: 25 x 2  16
17) Simplify:
x 2  xy
x 2  3x
18) Simplify: 9x  3x6x  2x  1
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19) Solve: 25x  1  8
20) Solve:
1
1
x3 x
5
2
21) Solve for A: AB  C  3D
22) Let x equal the distance between two points. Give an algebraic expression for “five more than three
fourths of the distance between the two points”.
23) 15 is 30% of what number?
24) At a movie theatre, the total number of adult tickets sold and children tickets sold was 225. The
number of adult tickets sold was four times the number of children tickets sold. How many children
tickets were sold?
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25) Factor: 2 x 2  5 x  2
26) Solve: x 2  2 x  8  0
27) Solve: x 2  4 x  5
28) Solve and graph the solution set: 3x  1  7
29) Solve and graph the solution set:  2x  6
30) True or False:  1,2 is a solution of 3x  y 2  4 .
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31) Graph the line  3 x  y  1 , labeling two points.
y
x
32) Given the line 2 x  3 y  12 , find:
a) the x-intercept
b) the y-intercept
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33) Graph y  4 .
y
x
34) Graph the line that goes through 0,2 and has slope
1
.
2
y
x
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35) Find the slope of the line that goes through  3,1 and  7,2.
36) Find the slope of the line  2 x  3 y  1 .
37) Write the equation of the line shown here:
y
x
3 x  y  5
38) Solve the system: 
5 x  2 y  1
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39) A number is three times another number. The sum of the numbers is 244. What are the two
numbers?
40) A rectangular playground is being built so that the width is 32 feet more than the length. The
perimeter has to be 160 feet. What should the length and the width be?
41) Simplify completely: 30  3 1
x 2 y 3
42) Simplify, writing your answer with positive exponents: 5 1
x y
43) Write the number .0002193 in scientific notation.
44) Find:
a)
4
81
b)
5
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1
45) Find x:
x
3
10
46) Which of the following is not a real number?
A)
4
47) Add:
1
B)
5
19
C)
5
3 2

x y
48) Subtract:
3x  4 x  1

2x
2x
49) Multiply and simplify:
50) Divide:
x x2  4

x2
3
x2
2
 3
x 1 x
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D)
6
1
E)
3
7