Page 302 - Algebra 1

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Astronomy The radius of the moon is about 1.75 × 103 kilometers. Use the formula A = 4πr2 to find the surface area of the moon. Write your answer in terms of π.
Use the table to find the rate of change.
Model A dog digs a conical hole that has a volume of 803 in3. The next day the dog increases the volume by another 25%. Write an equation or proportion to find the new volume and draw a model to represent the problem.
Simplify _24 + 9x . Identify any excluded values. _ x
Error Analysis Two students simplified the following rational expression: x2 - 11x . Which student is correct? Explain the error. 2x2 - 6x
Hours
2
4
6
8
Earnings
$13.50
$27
$40.50
$54
Student A
_2
x -11x
2x2 - 6x
numerator GCF = x d_enominator GCF = 2x
x - 11 __
2 = 2x(x - 11) =
x -11x
_2 x 2 - 6 x 2 x ( x - 3 ) x - 3
2
x -11x
x - 11 _
2x2 -6x = x-3 ,x≠3
Student B
2x2 - 6x
numerator GCF = x
_2
x -11x
d_enominator GCF = 2x
x - 11 _ _
2 = x(x - 11) =
x -11x
_2
2(x-3) 2x2 - 6x = 2(x - 3) , x ≠ 3
2x -6x 2x(x-3)
2
x -11x
x - 11
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Use the information in the graph to complete the table below.
Multi-step A centimeter is 10-2 times the length of a meter and a kilometer is 103 times the length of a meter.
a. Using the Quotient Property of Exponents, how many times longer is the
length of a kilometer than the length of a centimeter?
b. First, using exponents, express how many times longer a meter is then a centimeter. Then use that answer to find how many times longer a kilometer is than a centimeter. Are the results the same as for part a?
Names A new baby girl arrives. The parents have 6 names they really like, including Maria and Gail. They are going to pick one of the 6 names for a first name and one for a middle name. What is the probability that the baby will be named Maria Gail?
Generalize Is there a pattern in the number of zeros in standard notation and the exponent in scientific notation? Consider 0.0204, 8,000,000, and 6700.
y
4
x
0
1
-1
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4
y
2
Lesson 45 287
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