Prentice Hall Algebra 1

Football The stem-and-leaf plot below shows the difference between the points scored by the winning and losing teams in the Super Bowl during one 20-yr period.

Difference Between Winning and Losing Super Bowl Scores
0 1 3 3 3 3 4 7 7
1 0 1 2 3 4 5 7
2 3 7 7
3 5
4 5
Key: 1 | 0 means 10 points
  1. Find the probability that the winning team won by less than 10 points.
  2. Find the odds that the winning team won by 10 to 15 points.
  3. Find the probability that the winning team won by more than 20 points.

C Challenge

  1. Reasoning The odds in favor of choosing a red marble from a bag of red and blue marbles are 7 : 3. What is the probability of choosing a blue marble? Explain.

Geometry Use the figure below. Assume that the white square is centered in the large square. If you randomly choose a point inside the figure, what is the probability that it will be in the region described?

A square with side length 4 is divided into 4 smaller squares arranged 2 over 2. A fifth white square, equal in size to the smaller squares, is centered inside the larger square.

  1. P(red)
  2. P(blue)
  3. P(not blue)
  4. P(green or white)

Standardized Test Prep

SAT/ACT

  1. What is the median of the following class sizes: 29, 31, 28, 25, 27, 33, 33, 26?
    1. 28
    2. 28.5
    3. 29
    4. 33
  2. If y = 10 when x = 5, and y varies inversely with x, which equation relates x and y?
    1. xy = 5
    2. y equals , 50 over x
    3. xy = 2
    4. y equals , 2 over x

Short Response

  1. A basketball team has 11 players. How many different 5-player groups can the coach choose to play during a game? Show your work.

Mixed Review

See Lesson 12-6.

Find the number of permutations or combinations.

  1. sub 7 , cap p sub 4
  2. sub 3 , cap p sub 3
  3. sub 6 , cap p sub 2
  4. sub 9 , cap c sub 1
  5. sub 5 , cap c sub 4

Get Ready! To prepare for Lesson 12-8, do Exercises 55–59.

See Lesson 3-8.

Find each union or intersection. Let J = {4, 5, 6, 7}, K = {1, 4, 7, 10}, and L = {x | x is an even whole number less than 12}.

  1. j union k
  2. j intersection l
  3. j union l
  4. l intersection k
  5. k union l

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Table of Contents

Prentice Hall Algebra 1 Chapter 1 Foundations for Algebra Chapter 2 Solving Equations Chapter 3 Solving Inequalities Chapter 4 An Introduction to Functions Chapter 5 Linear Functions Chapter 6 Systems of Equations and Inequalities Chapter 7 Exponents and Exponential Functions Chapter 8 Polynomials and Factoring Chapter 9 Quadratic Functions and Equations Chapter 10 Radical Expressions and Equations Chapter 11 Rational Expressions and Functions Chapter 12 Data Analysis and Probability Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments