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Advanced Math Homework
Linear Equations
Name___________________________
I. Solve each equation.
1.) ( x  7)( x  1)  ( x  1) 2
2.) x(2 x  3)  (2 x  1)( x  4)
3.) x( x 2  1)  3  x 3
4.)
x
2
3
x2
x2
5.)
2x
4
3
 2

x 4 x 4 x2
6.)
x
3

x2 2
7.)
5
3

2x  3 x  5
8.)
6t  7 3t  8

4t  1 2t  4
9.)
4
3
7


x  2 x  5 ( x  5)( x  2)
10.)
2
11.)
2
3
5


y3 y4 y6
x
x3
3
 2
 2
x 1 x  x x  x
2
II. Word Problems
12.) Finance A total of $20,000 is to be invested, some in bonds and some in
certificates of deposit (CDs). If the amount invested in bonds is to exceed that in
CDs by $3,000, how much will be invested in each type of investment?
____________________________________
13.) Computing Hourly Wages Sandra, who is paid time-and-a-half for hours
worked in excess of 40 hours, had gross weekly wages of $442 for 48 hours
worked. What is her regular hourly rate?
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