Solve Linear Equations (Distributive) 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 transform equations into simpler forms using the distributive property and solve the equations. Learn that not every linear equation has a solution.

How to transform and solve equations using the distributive property?

Transforming and solving equations using the distributive property involves applying the property to simplify the equation, then solving it as you would any linear equation. Below is a detailed explanation of how to do this.

Steps to Transform and Solve Equations Using the Distributive Property

1. Apply the Distributive Property
   The distributive property states:
   a(b+c)=ab+ac
   When you have an expression like a(b+c), multiply the term outside the parentheses by each term inside the parentheses.
2. Combine Like Terms (if needed)
   After distributing, look for any like terms on each side of the equation and combine them to simplify the equation.
3. Move All Variable Terms to One Side
   Use addition or subtraction to move all terms containing the variable to one side of the equation.
4. Move All Constant Terms to the Other Side
   Use addition or subtraction to move all constant terms to the other side of the equation.
5. Solve for the Variable
   Use multiplication or division to isolate the variable and solve the equation.
6. Check Your Solution
   Substitute the solution back into the original equation to verify that it satisfies the equation.

A linear equation has no solution when, after simplifying, you end up with a statement that is always false, like 5=0. This usually happens when the equation involves two expressions that cannot be equal no matter what value of the variable you use.

Have a look at this video if you need to review how to solve linear equations using distribution.

• Solve linear equations using distribution

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