Model and solve one-step linear equations: ax = b, x/a = b

Practice Now

Get the most by viewing this topic in your current grade. Pick your course now.

Introduction
Lessons
  1. What is Reflexive property of equality?
  2. What is Transitive property of equality?
  3. What is Substitution property of equality?
  4. What is Symmetric property of equality?
  5. How to solve one-step equations?
Examples
Lessons
  1. What is the equation represented by each diagram?

    1. one-step linear equations represented as a diagram

    2. Model and solve one-step linear equations

    3. solve one-step linear equations using models

    4. solving one-step linear equations expressed as a model
  2. Solve.
    1. 4x=56 - 4x = 56
    2. 3x=243x = - 24
    3. x5=75\frac{x}{5} = - 75
    4. 2=x10 - 2 = \frac{x}{{ - 10}}
  3. Bill is able to type 35 words every minute. If he has typed 385 words so far, how many minutes has he been typing for?
    1. Suzy and 2 friends split their restaurant bill evenly. Each person paid $16. How much did the bill cost?
      Practice
      Free to Join!
      StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun - with achievements, customizable avatars, and awards to keep you motivated.
      • Easily See Your Progress

        We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.
      • Make Use of Our Learning Aids

        Last Viewed
        Practice Accuracy
        Suggested Tasks

        Get quick access to the topic you're currently learning.

        See how well your practice sessions are going over time.

        Stay on track with our daily recommendations.

      • Earn Achievements as You Learn

        Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.
      • Create and Customize Your Avatar

        Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
      Topic Notes
      Linear equations which can be solved with a single operation are called one-step linear equations. In this section, we will try to solve one-step linear equations represented in diagrams and in equation form.