Generated with Monsha

Save this resource to edit, expand, or export it, or create more resources for free.

Reading Comprehension: Linear Equations and Real-Life Applications

Reading Comprehension Questions
Grade 6
English

Reading Comprehension: Linear Equations and Real-Life Applications

Linear equations are mathematical statements that show a relationship between two variables, such as x and y, where the highest power of the variable is one. These equations form straight lines when graphed on a coordinate plane. For example, the equation

is a linear equation. This means that for every value of x you put in, you can find a corresponding value of y by using the equation.
Linear equations are used in many real-life situations. For example, if you are saving money each week, the total amount you have can be shown as a linear equation. Suppose you start with $10 and save $5 every week. The equation

shows how much money (y) you have after x weeks.
A key feature of a linear equation is its slope and y-intercept. The slope shows how steep the line is, and the y-intercept is where the line crosses the y-axis. In the equation

, 2 is the slope and 3 is the y-intercept.
Solving a linear equation means finding the value of the variable that makes the equation true. For example, to solve

.
Linear equations are important because they help us understand and predict patterns in the world around us. Whether you're tracking your savings, planning a trip, or measuring speed, linear equations can help you make sense of numbers and relationships.

Multiple Choice Questions

  1. What is the highest power of the variable in a linear equation?
a) Two b) Three c) One d) Zero
  1. In the equation
    
    , what does the number 10 represent?
a) The slope b) The y-intercept c) The x-value d) The solution

Fill in the Blank Questions

[Word Bank: slope, straight, y-intercept, variable]
  1. The graph of a linear equation is always a _______ line.
  1. In the equation
    
    , the number 2 is called the _______.

True/False Questions

  1. True or False: Linear equations can be used to represent real-life situations like saving money over time.
  1. True or False: The equation
    
    is a linear equation.

Short Answer Questions

  1. Explain in your own words what a linear equation is.
  1. Give one example of how you might use a linear equation in everyday life and write the equation.