WAYNE STATE UNIVERSITY MATH PROGRAM AT WESTERN INTERNATIONAL HIGH SCHOOL
ALGEBRA II HOMEWORK 32 WINTER 2010
Name:_______________________________________
NAZELLI
Date:__________________________
Show all your work. Do not use a calculator to get your answers. You can, and should, use a calculator to
check your answers.
1) 9 is 60% of what number?
2) In a marathon, the number of male runners is three times the number of female runners. The total
number of runners is 212. How many female runners are in the marathon?
3) Factor: 2 x 2  7 x  3
4) Solve: x 2  4 x  12  0
5) Solve: x 2  3 x  10
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6) If each of the sides of a square is lengthened by 6 cm, the area becomes 144 square cm. Find the
length of the original square.
7) Solve and graph the solution set: 4x  3  15
8) Solve and graph the solution set:  4x  20
9) Determine whether 2,1 is a solution of x 2  3 y  5 .
10) Graph the line  2 x  y  5 , labeling two points.
y
x
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11) Given the line 5 x  3 y  15 , find:
a) the x-intercept
b) the y-intercept
12) Graph x  4 .
y
x
13) Graph the line that goes through 0,3 and has slope  2 .
y
x
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14) Find the slope of the line  5 x  2 y  3 .
15) Find the equation of the line that goes through 2,3 and  8,6 .
16) Write the equation of the line shown here:
y
x
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17) A rectangular mirror is being designed so that the length is 18 inches more than the width. The
perimeter has to be 124 inches. What should the length and the width be?
18) Add:
2 4

x y
19) Subtract:
4x  5 x  3

7x
7x
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