Related Topics:
More Math Worksheets
More Printable Math Worksheets
More Grade 7 Math Lessons
Grade 8 Math Worksheets
Printable “Algebra” worksheets:
Write Equations Using Symbols
Write Linear & Nonlinear Expressions
Write & Solve Linear Equations
Solve Linear Equations (Distributive)
Solve Linear Equations in Disguise
Solve Linear Equations Word Problems
Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 learn how to use of the properties of equality to solve linear equations having rational coefficients.
Solving linear equations with rational coefficients using the properties of equality, involves isolating the variable on one side of the equation.
Here are the steps:
Understand the Properties of Equality
The properties of equality allow you to perform the same operation on both sides of an equation without changing the equation’s solution. The key properties are:
Addition Property of Equality: If a = b, then a+c = b+c.
Subtraction Property of Equality: If a = b, then a−c = b−c.
Multiplication Property of Equality: If a = b, then ac = bc.
Division Property of Equality: If a = b and c ≠ 0 then a/c = b/c
Solving Linear Equations with Rational Coefficients
Step 1: Eliminate Fractions (Optional but Helpful)
You can start by eliminating fractions by multiplying both sides of the equation by the least common denominator (LCD) of all the fractions involved. This step is not mandatory, but it simplifies the equation.
Step 2: Isolate the Variable
Use the addition or subtraction property of equality to move all terms containing the variable to one side of the equation and constants to the other side.
Step 3: Solve for the Variable
Use the multiplication or division property of equality to isolate the variable.
Step 4: Check Your Solution
Substitute the solution back into the original equation to ensure it satisfies the equation.
Key Tips:
Have a look at this video if you need to review how to solve linear equations.
Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Write & Solve Linear Equations Worksheets.
Printable
(Answers on the second page.)
Write & Solve Linear Equations Worksheet #1
Write & Solve Linear Equations Worksheet #2
Write & Solve Linear Equations Worksheet #3
Write & Solve Linear Equations Worksheet #4
Write & Solve Linear Equations Worksheet #5
Write & Solve Linear Equations Worksheet #6
Write & Solve Linear Equations Worksheet #7
Write & Solve Linear Equations
More Printable Worksheets
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.