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## Definition:

**An equation** is a mathematical statement that two expressions are equal and always contain an equal sign. The simplest type of algebraic equation is a linear equation that has just one variable.

**A linear equation** is an equation where the highest exponent of the variable is 1.

## Summary:

Solving an equation means finding the value of the variable that makes the equation true. When we add or subtract the same thing from both sides the equation stays in balance.

To solve linear equations, there is one main goal: isolate the variable. The following will give us the tools that we need to solve linear equations.

**Addition and Subtraction Properties of Equality**

For all real numbers

If a = b, then a + c = b + c

If a = b, then a – c = b – c

If two expressions are equal to each other, and you add or subtract the same value to both sides of the equation, the equation will remain equal.

**Multiplication and Division Properties of Equality**

For all real numbers

If a = b, then a(c) = b(c)

If a = b, then a/c = b/c where c is not equal to 0.

If two expressions are equal to each other and you multiply or divide both sides by the same number, the resulting expressions will also be equivalent.

## Solving Linear Equations in One Variable Integral Coefficients and Rational Coefficients Worksheets

This is a fantastic bundle which includes everything you need to know about Solving Linear Equations in One Variable Integral Coefficients and Rational Coefficients across 15+ in-depth pages. These are ready-to-use Common core aligned Grade 8 Math worksheets.

Each ready to use worksheet collection includes 10 activities and an answer guide. Not teaching common core standards? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience.

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