![[FREE] Linear Equations Worksheet (Grade 7 to High School)](https://thirdspacelearning.com/wp-content/uploads/2024/02/Linear-equations-worksheet-listing-image-1.png)
Here you will learn about linear equations, including how to graph linear equations and how to solve linear equations.
Students will first learn about linear equations as part of expression and equations in 8th grade math and will continue to use them throughout high school.
A linear equation is an algebraic equation that contains variables that have an exponent that is not higher than one. A linear equation is called linear because when you plot the graph of the linear function, it will make a straight line graph.
Examples of equations
Nonlinear equations are a type of equations where terms can have variables raised to powers other than one, or terms that are multiplied or divided.
Examples of nonlinear equations:
All linear equations have an equal sign, this means that everything on the left-hand side of the sign is exactly the same as everything on the right-hand side.
The linear equation formula is the way of expressing a linear equation and can be done in various ways, depending on the number of variables present.
The standard form is ax+by=c, where a, b and c are constants.
\begin& 2x-3y+4=0 \\\\ &3y-7x=8 \\\\ &4x=12 \end
Slope-intercept form
The slope-intercept form of a linear equation can be written as y=mx+b, where m is the slope of a line and b is the y -intercept.
Point slope form
The point slope form of a linear equation can be written as y-y_1=m\left(x-x_1\right), where m is the slope of the line and \left(x_1, y_1\right) is a point on the line.
Use this worksheet to check your 7th grade to high school students’ understanding of linear equations. 15 questions with answers to identify areas of strength and support!
Use this worksheet to check your 7th grade to high school students’ understanding of linear equations. 15 questions with answers to identify areas of strength and support!
Linear equations are related to coordinate grids, as they provide a way to graphically represent and solve linear equations.
Given the equation
we can graphically represent this equation on a coordinate grid
A one variable linear equation with the variable x forms a vertical line that is parallel to the y -axis.
Given the equation x-4=0
You need to isolate the variable by adding 4 to both sides of the equation.
To graph the line x=4, you will draw a straight, vertical line through point (4,0).
The slope in a vertical line is undefined.
A one variable linear equation with the variable y forms a horizontal line that is parallel to the y -axis.
Given the equation y+6=0
You need to isolate the variable by subtracting 6 from both sides of the equation.
To graph the line y=-6, you will draw a straight, vertical line through point (0,-6).
The slope in a horizontal line is 0.
