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1. Solve 5x  3  9x  7  2x
2. Solve
3
4
1
 
x  3x x x  3
2
3. One positive number is five less than another. Their sum is 31. Find the numbers. To
get any credit tin this question you solve an equation to determine the answer.
4. A picture frame has a total perimeter of 21 feet. The width is
3
of the height. Find
4
the dimensions of the picture frame.
w
3
h
4
h
5. A grocer mixes peanuts that cost $1.41 per pound and walnuts that cost $2.61 per
pound to make 100 pounds of a mixture that costs $2.37 per pound. How much of each
kind of nut is put into the mixture?
6. To obtain the height of a tree (see figure), you measure the tree's shadow and find that
it is x = 7 meters long. You also measure the shadow of a two-meter lamppost and find
that it is 75 centimeters long. How tall in meters is the tree? (Round your answer to one
decimal place.)
5. Simplify and write the result in standard form (11  5i )  (4  3i)
3 5
4 1
6. Simplify and write the result in standard form (  i )  (  i )
5 6
3 3
7. Simplify and write the result in standard form (3  5i)(2  4i)
8. Simplify and write the result in standard form
2  5i
1  2i
9. Solve by factoring x 2  4 x  32  0
10. Solve by extracting square roots (3x  1)2  16  0
11. Solve using the quadratic formula 2 x 2  7  6 x
12. Solve using the quadratic formula x 2  4 x  13  0
13. Solve using the quadratic formula 4 x 2  25  20 x