Prentice Hall Algebra 1

4 Mid-Chapter Quiz

Do you know HOW?

  1. Buffet The graph shows the number of slices of French toast in a serving dish at a breakfast buffet as time passes. What are the variables? Describe how the variables are related at various points on the graph.

    A graph displays the number of slices in a serving dish. The x-axis displays time. The y-axis displays the number of slices of French toast. The graph falls as a series of steps before rising vertically to a maximum and then falling as a series of steps to a higher plateau.

Sketch a graph of the height of each object over time. Label each section.

  1. Recreation You throw a flying disc into the air. It hits a tree branch on its way up and comes to rest on a roof. It stays on the roof for a minute before the wind blows it back to the ground.
  2. Elevator An elevator fills with people on the ground floor. Most get off at the seventh floor, and the remainder get off at the ninth floor. Then two people get on at the tenth floor and are carried back to the ground floor without any more stops.

For each table, identify the independent and dependent variables. Then describe the relationship using words, an equation, and a graph.

  1. Ounces of Soda

    Number of Cans Soda (oz)
    1 12
    2 24
    3 36
    4 48
  2. Dog Biscuits Left

    Number of Tricks Number of Biscuits
    1 20
    2 17
    3 14
    4 11

Tell whether the function shown by each table is linear or nonlinear.

  1. x 1 2 3 4
    y 6 8 10 12
  2. x 0 2 4 6
    y 5 5 5 5
  3. x 0 1 2 3
    y negative 3 negative 4 negative 5 6

Do you UNDERSTAND?

  1. Vocabulary Does each graph represent a linear function or a nonlinear function? Explain.

    1. This graph is a curve that rises through approximately (negative 1, negative 1), (0, 0), and (1, 1). It levels off as it passes through (0, 0), before rising with increasing steepness.
    2. This graph is a line that rises through approximately (0, negative 1) and (1, 1).
    3. This graph is a U-shaped curve that falls through (negative 2, 2) to (0, 0) and then rises through (2, 2). All values estimated.
    4. This graph is a series of points at approximately (negative 2, 2 and two-thirds), (negative 1, 1 and two-thirds), (0, two-thirds), (1, negative one-third), and (2, negative 1 and one-third).
  2. Writing The size of a bees' nest increases as time passes. Your friend says that time is the dependent variable because size depends on time. Is your friend correct? Explain.
  3. Open-Ended With some functions, the value of the dependent variable decreases as the value of the independent variable increases. What is a real-world example of this?

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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