Page 296 - Algebra 1

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Probability A student takes a quiz that has 5 true/false questions and 5 multiple-choice questions with four choices for each question. This means there are 25 possible ways to answer the true/false questions and 210 ways to answer the multiple-choice questions. The student guesses on every question. a. How many ways are there to answer all of the questions?
b. What is the probability that the student will get every question right?
Multiple Choice What is the slope of the line that passes through the points (–5, 8)
and (5, 2)?
A - 1 _2 B - _3
35
C _3 D 1 _2 53
Generalize Give an example of a real-world situation that could be represented by a graph with a negative slope.
TaxiFares Ataxicompanycharges$0.75permile($0.75m)ontheweekends. During the week, the company charges a base fee of $2.50 plus $0.50 a mile ($2.50 + $0.50m). Write a simplified rational expression for the ratio of the weekend charge to the weekday charge.
Error Analysis Two students found the value at which _x + 5 is undefined. Which x+3
student is correct? Explain the error.
Student A
x+5 _
x+3
denominator = x + 3
x + 3 = 0 when x = -3
_
x + 5, x ≠ -3 x+3
Student B
x+5 _
x+3
denominator = x + 3 x + 3 = 0 when x = 3
_
x + 5, x ≠ 3 x+3
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Multi-Step To make a rope that is x2 units long requires that 4 strands be twisted together. Each strand must be x2 + 6x units in length.
a. What is the total length of the 4 strands?
b. Write a rational expression for the length of the rope divided by the total length of the strands.
c. Simplify the rational expression.
Geometry The right circular cylinder shown has a height that is 2 units more than the radius of its bases.
r
r + 2
_
The ratio 2πr2 + 4πr gives the surface area around the cylinder to the surface
2πr2
area of both bases. Simplify.
Lesson 44
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