Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Algebra 1

7.1.5 Practice

Algebra 17.1.5 Practice
Search for key terms or text.

Complete the following questions to practice the skills you have learned in this lesson.

  1. Here are a few pairs of positive numbers whose sum is 50.
Row First number Second number Product
a 1 49  
b 2 48  
c 10 40  
    1. Find the product in Row a.
    1. Find the product in Row b.
    1. Find the product in Row c.

Use the following table to answer questions 2 – 5.

Here are some lengths and widths of a rectangle whose perimeter is 20 meters.

Row Length (meters) Width (meters) Area (square meters)
a 1 9  
b 3 7  
c 5    
d 7    
e 9    
Table 7.1.0
  1. Complete the Width column of the table.
    1. Width in Row c
    1. Width in Row d
    1. Width in Row e
  1. Complete the Area column of the table. What do you notice about the areas?
    1. Area in Row a
    1. Area in Row b
    1. Area in Row c
    1. Area in Row d
    1. Area in Row e
  1. Without calculating, predict whether the area of the rectangle will be greater than or less than 25 square meters if the length is 5.25 meters.
  1. less than
  2. greater than
  1. Plot the points for length and area from your table. Do the values change in a linear way? Do they change in an exponential way?
  1. not linear and not exponential
  2. linear and exponential
  3. exponential
  4. linear

Use the following to answer questions 6 – 8.

Copies of a book are arranged in a stack. Each copy of a book is 2.1 cm thick.

Row Copies of book Stack height in cm
a 0  
b 1  
c 2  
d 3  
e 4  
Table 7.1.1
  1. Complete the table.
    1. Stack height in Row a
    1. Stack height in Row b
    1. Stack height in Row c
    1. Stack height in Row d
    1. Stack height in Row e
  1. What is the difference in the height of the stack of books when a new copy of the book is added?
  1. How high is a stack of b books, in centimeters?
  1. 2.1 b
  2. 2.1 ( b − 1 )
  3. 2.1 + b
  4. ( 2.1 ) b
PreviousNext
Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution-NonCommercial-ShareAlike License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

Citation information

© May 21, 2025 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.