Prentice Hall Algebra 2
  1. Think About a Plan A moving company sells different sizes of boxes as shown. The extra-large box is one size larger than the third box shown. What is its volume?

    Three boxes.
    Image Long Description

    • Identify a pattern of the dimension changes.
    • What is the formula for the volume of a rectangular prism?
  2. Use the graph shown.

    A graph of output by input has points at (1, 3), (2, 6), (3, 9), (4, 12), and (5, 15). All points are approximate.

    1. Identify a pattern of the graph by making a table of the inputs and outputs.
    2. What are the outputs for inputs 6, 7, and 8?
  3. Collecting Jay has a rare baseball card collection. He currently owns 10 baseball cards. Each month, he purchases a new card for his collection. Write a model to represent the number of cards in Jay's collection after n months.
  4. Use the figures below.

    A pattern.
    Image Long Description

    Figure (Input) Process Column Number of Squares (Output)
    1 white square white square
    2 white square white square
    3 white square white square
    4 white square white square
    5 white square white square
    1. Draw the next two figures.
    2. Copy and complete the table to find the number of squares in each figure.
    3. What is the number of squares in the nth figure? Explain your reasoning.

Copy and complete each table.

  1. Input Output
    1 5
    2 9
    3 13
    4 17
    5 white square
    n white square
  2. Input Output
    1 2
    2 −3
    3 −8
    4 −13
    5 white square
    n white square
  3. Input Output
    1 3
    2 −1
    3 −5
    4 −9
    5 white square
    n white square

C Challenge

  1. Open-Ended Write the first five numbers of two different patterns in which 12 is the third number.
  2. Reasoning For the past 4 years, Jesse has grown 3 inches each year. He is now 15 years old and is 5 feet 6 inches tall. He predicts that when he is 20 years old, he will be 6 feet 9 inches tall. What would you tell Jesse about his prediction?

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Table of Contents

Prentice Hall Algebra 2 Chapter 1 Expressions, Equations, and Inequalities Chapter 2 Functions, Equations, and Graphs Chapter 3 Linear Systems Chapter 4 Quadratic Functions and Equations Chapter 5 Polynomials and Polynomial Functions Chapter 6 Radical Functions and Rational Exponents Chapter 7 Exponential and Logarithmic Functions Chapter 8 Rational Functions Chapter 9 Sequences and Series Chapter 10 Quadratic Relations and Conic Sections Chapter 11 Probability and Statistics Chapter 12 Matrices Chapter 13 Periodic Functions and Trigonometry Chapter 14 Trigonometric Identities and Equations Skills Handbook English/Spanish Illustrated Glossary Selected Answers Index Acknowledgments