# Solving Multi-step Equations Worksheets

How to Stay Organized When Solving Multi-Step Equations Algebraic equations are the simplest form of linear equations. You have to identify the variable, isolate it, and solve it to find the value of that variable. For example, if your given a addition or subtraction equation. You isolate the variable and add or subtract the same amount to each side of the equation. Consider the example below, x – 11 = 12 + 2, x – 11 + 11 = 14 + 11, x = 25. This is a single step equation. You can also get a two-step equation. You solve the two-step equation in the same manner as the single-step equation. The only difference is that it has some additional steps. For example: 3x + 4 = 15, 3x + 4 - 4 = 15 - 4, 3x = 11, x = 11/3. Besides single-step and two-step equations, you can also get multi-step equations. These equations have variables present on either side of the equals to sign. You solve them in the same manner as the other equations. You can isolate the variables and solve to find out the answer. Consider the example given below, 4x + 9 = 2x – 6, 4x -2x + 9 = 2x -2x -6, 2x + 9 = -6, 2x + 9 – 9 = -6 - 9, 2x = -15, x = -15 / 2.

• ### Basic Lesson

Demonstrates the order of operations to perform when solving a multiple step problem. Practice problems are provided. Evaluate equations in the following order: 1. Any parentheses. 2. Combine like terms. This means adding or subtracting variables of the same kind. The expression 5x + 3x simplifies to 8x. The expression 15 - 7 + 6 simplifies to 14. 3. Use of exponents 4. Multiplication operations 5. Division operations 6. Addition operations 7. Subtraction operations.

• ### Intermediate Lesson

Explains how to use parenthesis when solving complex equations. Practice problems are provided.

• ### Independent Practice 1

Contains 20 solving multi-step equations problems. The answers can be found below.

• ### Independent Practice 2

Features another 20 solving multi-step equations problems.

• ### Homework Worksheet

12 solving multi-step equations problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Solving multi-step equations problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### A Non-math equation, interpreted by a mathematician:

"What goes in must come out."
"What is borrowed must eventually be repaid."
Patricia Clark Kenschaft, Math Power