Solve each system of equations.
418 CHAPTER 6 Factoring and Applications
11. 12.
2 x+
6
5
y= 5
5 x+ 3 y= 10
2 x+ 3 y= 4
4 x- y=- 6
Evaluate each expression.
Simplify each expression, and write the answer with only positive exponents. Assume that no
denominators are 0.
Perform each indicated operation.
21.To make a pound of honey, bees may travel 55,000 mi and visit more than 2,000,000
flowers. (Source: Home & Garden.) Write the two given numbers in scientific notation.
Factor completely.
Solve each equation.
- 30.The length of the hypotenuse of a right triangle is
twice the length of the shorter leg, plus 3 m. The
longer leg is 7 m longer than the shorter leg. Find the
lengths of the sides.
6 m^2 +m- 2 = 0 8 x^2 = 64 x
4 p^2 - 12 p+ 9 25 r^2 - 81 t^22 pq+ 6 p^3 q+ 8 p^2 q
2 a^2 + 7 a- 4 10 m^2 + 19 m+ 6 8 t^2 + 10 tv+ 3 v 2
8 x^4 + 12 x^3 - 6 x^2 + 20 x
2 x
13 p+ 222
12 k^2 + 4 k 2 - 15 k^2 - 22 - 1 k^2 + 8 k- 62 19 x+ 6215 x- 32
1 m-^223 m
m^5 m-^4
1 p^223 p-^4
1 p-^32 -^1 p
a
4 -^3 # 44
45
b
3
4
b
x?
?
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