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A linear equation is a mathematical expression that represents a straight line on a graph. It consists of variables, coefficients, and constants and can be solved to find the value of the variables that make the equation true.
Here’s a story about two friends named Jack and Emily to help you understand what a linear equation is all about.
Jack and Emily were planning a fun day at the amusement park. They were excited to go on thrilling rides and play exciting games. However, they needed to figure out how much money they would need for their day of fun.
To solve this problem, they decided to create a linear equation. They knew that each ride at the park cost $5, and they wanted to know how much money they would need if they went on a certain number of rides.
Learn MoreWhich of the following is a linear equation?
What is the value of x in the equation: 2x + 3 = 9?
Which of the following equations represents “twice a number plus 5 is equal to 17”?
Solve the equation: 4x – 2 = 10. What is the value of x?
Solve the equation: 2x + 6 = 14. What is the value of x?
Which of the following equations represents “three times a number plus 7 is equal to 22”?
Solve the equation: 5x – 3 = 22. What is the value of x?
Solve the equation: 2x + 4 = 18. What is the value of x?
Solve the equation: 4x + 5 = 21. What is the value of x?
Solve the equation: 3x – 7 = 8. What is the value of x?
Let’s say they wanted to go on “x” rides. To find the total cost, they used the linear equation: Total Cost = 5 * x.
Now, they could substitute different values for “x” to find out how much money they would need. For example, if they wanted to go on 3 rides, they could replace “x” with 3 in the equation: Total Cost = 5 * 3 = 15 dollars.
In this story, the linear equation helped Jack and Emily calculate the total cost based on the number of rides they wanted to go on. The equation had the variable “x,” representing the number of rides, and the coefficient 5, which represented the cost of each ride.
In other words, linear equations involve finding the value of a variable to make the equation true.
Linear equations are used to solve various real-life problems and help us understand how numbers and variables are related.
