Introduction
A linear equation is an equation between two variables that gives a straight line when plotted on a graph.
In this lesson we will learn how to solve linear equations and plot the points on a graph.
Task
By the end of this Webquest students will:
- Have knowledge of linear equations
- Plot points on a graph
- Solve equations to find the value of variables
Process
EQUATIONS
In mathematics, an equation is a mathematical sentence that expresses the equality of two expressions using an equals sign (=). Equations can involve variables and operations, and are used to solve for unknown variables through operations like addition, subtraction, multiplication, and division. Equations can also summarize new relationships or perspectives.
VARIABLES
A variable is the alphabetic character that expresses a numerical value or number. A variable is used to represent an unknown quantity.
ISOLATING VARIABLE TO ONE SIDE
The basic technique to isolate a variable is to "do something to both sides" of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.
Isolating the variable is the process of manipulating an equation to solve for a specific unknown or variable. This technique is essential in solving linear equations and is a fundamental skill in algebra and pre-algebra courses.
INVERSE OPERATIONS
Inverse operations are mathematical operations that undo each other, such as addition and subtraction or multiplication and division. These are used to isolate the variable in an equation.
ALGEBRAIC EXPRESSIONS
Algebraic equations are mathematical statements that use variables and operations to represent unknown quantities or relationships.
SIMPLIFYING EXPRESSIONS
Simplifying expressions involves combining like terms and applying the order of operations to reduce an expression to its simplest form, which is necessary when isolating variables.
Evaluation
Use algebraic operations to isolate the variable on one side, then check the solution by substituting the value back into the original equation equation to verify it makes it true.
Conclusion
As a result, we conclude that linear equations one variable can be used to calculate the value of an integer when given two or more integers, one of which is unknown. Finding the specific value or values that makes the equation true. We can easily find the value of an unknown integer by using the expression in equation form. We can then put the equation in Y intercept form and find points to be plotted on a graph.
Credits
Teacher Page
Target Learners: Pre-Algebra 9th Grade
Unit: Linear Equations and Point Plotting