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

7.2.5 Practice

Algebra 17.2.5 Practice
Search for key terms or text.

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

  1. Here are two patterns of dots.

Pattern A

Four figures, labeled step 0 through 3. Step 0, no dots. Step 1, row of 4 dots. Step 2, 2 rows of 4 dots each. Step 3, 3 rows of 4 dots each.

Pattern B

Four figures, step 0 through 3. Step 0, 2 dots. Step 1 row of 1 dot above a row of 2 dots. Step 2, 2 rows of 2 dots each, above a row of 2 dots. Step 3, 3 rows of 3 dots each, above row of 2 dots.

    1. How many dots will there be in Step 4 of Pattern A?
    1. How many dots will there be in Step 4 of Pattern B?
    1. Which pattern shows a quadratic relationship between the step number and the number of dots?
  1. Pattern B
  2. Pattern A
  1. Each expression represents the total number of dots in a pattern where n represents the step number.

Select two expressions that represent a quadratic relationship between the step number and the total number of dots. (If you get stuck, consider sketching the first few steps of each pattern as described by the expression.)

  1. n 2
  2. 2 n
  3. n ⋅ n
  4. n + n
  5. n + 2
  6. n ÷ 2
  1. Use the pattern below to answer the questions.

    1. How many blocks are in Step 4?
    1. How many blocks are in Step 5?
    1. How many blocks are in Step n ?
  1. ( n + 2 ) 2
  2. ( n + 2 ) 2 − n
  3. n + 6
  4. n 2 − 2
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.