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

1.9.5 Practice

Algebra 11.9.5 Practice
Search for key terms or text.

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

For numbers 1 – 9, use the following scenario:
A car has a 16-gallon fuel tank. When driven on a highway, it has a gas mileage of 30 miles per gallon. The gas mileage (also called "fuel efficiency") tells us the number of miles the car can travel for a particular amount of fuel (one gallon of gasoline, in this case). After filling the gas tank, the driver got on a highway and drove for a while.

  1. How many miles has the car traveled if it has 15 gallons left in the tank?
  1. How many miles has the car traveled if it has 10 gallons left in the tank?
  1. How many miles has the car traveled if it has 2.5 gallons left in the tank?
  1. Choose the equation that represents the relationship between the distance the car has traveled in miles, d , and the amount of gas left in the tank in gallons, x
  1. x = 30 d − 480
  2. d = 30 ( 16 − x )
  3. x = d − 480 − 30
  4. d = 16 ( 30 − x )
  1. How many gallons are left in the tank when the car has traveled 90 miles?
  1. How many gallons are left in the tank when the car has traveled 246 miles?
  1. Choose an equation that makes it easier to find the amount of gas left in the tank, x , if we know the car has traveled d miles.
  1. x = 30 d − 480
  2. d = 30 ( 16 − x )
  3. x = d − 480 − 30
  4. d = 16 ( 30 − x )
  1. Noah was helping to collect the entry fees at his school's football game. Student entry costs $2.75 each and adult entry costs $5.25 each. By the end of the game, Diego had collected $281.25.

Select two equations that could represent the relationship between the number of students, s , the number of adults, a , and the dollar amount collected at the game.

  1. 281.25 − 5.25 a = 2.75 s
  2. a = 53.57 − 2.75 5.25 s
  3. x − 2 = 4
  4. x − 2 = 12
  5. x − 6 = 4
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.