﻿ Two Step Equations Worksheets
This set of worksheets will help your students solve for two variables in algebraic expressions.

#### Two step math equations are algebraic problems that require you to make two moves to find the value of the unknown variable. For example, using the equation 3x + 5 = 11 we will need to perform two steps to find the value of x. The first step would be to get the constant values of the equation by themselves. In this case 5 and 11 are our constants. We can always perform any operation to the equation as long as we perform the same operation to both sides of the equation. If we want to get the 5 and 11 together, we can perform the opposite operation that is already taking place with one of them. If we were to subtract 5 from both sides, we would be left with 3x = 6. That is step one. For step two we need to get rid of the 3 that is next to the variable. To undo multiplication, we can divide. If we were to divide both sides by 3, we would be left with x = 2. When we start out with algebraic equations, most teacher prefer to name the unknown variable x and stay consistent with its use. Equations of lines often are most frequently solved in two steps.

In this section, your students will work on solving for two variables in algebraic expressions and graphing the results. This set of worksheets introduces your students to the concept of solving for two variables, and provides examples, short practice sets, longer sets of questions, and quizzes. In everyday math, in the real world, a survey of daily tasks of over 1,200 was issued by UMASS. They found that two-step math problems were the most common mathematical tasks people were performing. Utilize these worksheets to demonstrate how to solve two step problems. Students will learn how to create equations from number sentences and solve them.

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## Solving Two Step Equation Problems Worksheet 1

Solve for x in the following 12 problems. Example: 2x + 4 = 12

## Worksheet 2

Remember to flip the symbol of the constant that has an operation first. Example: 7x + 4 = 46

## Two Step Problems Worksheet 1 (contains negatives)

Do not let the negative value throw you off the scent of the answer. Example: - 4x + 4 = - 12

## Worksheet 2 (contains negatives)

You can reorder the problem before you start working on it. Example: - 3 + 7x = 4

## Worksheet 3 (contains negatives)

Solve for x in the following 12 problems. Example: 3x + 4 = - 8

## More Basic Worksheet 4

The arrange of values is the key here. Example: 5 - 3x = 8

## Worksheet 5

See how fast you can complete all of these problems. Example: 3x + 4 = 19

## Worksheet 6

See if you can start with the variable first. It is a good way to make sure you master this. Example: 3 + 2x = 17

## Two Step Problems Worksheet 7

Solve for x in the following 12 problems. Example: 7 + 2x = 19

## Worksheet 8

More practice to make sure you know what you are doing. Example: 6x + 1 = 13

## Decimals- Meet the Skill

Learn how to solve the problem: x/2 + 3.5 = 21 Check by substituting your solution to the equation.

## Try the Skill

Write an equation and solve for this number sentence: "When a number is divided by 5 and the result added to 35, the result is 105."

## Practice the Skill

Solve the equations. Check by substituting your solution to the equation. Example: 9 = a/4+ 4

## Practice the Skill Twice

Write an equation and solve for the following 10 sentences.

## Show the Skill

These turn up the heat and are more difficult. Example: -13 = -5x + 7

## Setup Equations Warm Up

Write an equation and solve for the following 3 sentences.

## Meet the Skill

Define the variable, write the equation and solve it: "Three more than two times a number is forty-three."

## Try the Skill

Where is the variable? Create an equation and solve it: "Two less than a number divided by 5 is eight."

## Practice the Skill

For the following 10 problems locate the unknown variable and make an equation. Oh yeah, solve it too! Example: "Seven less than a number divided by 3 is five."

## Practice the Skill Twice

What final value is being described by the math sentences? Example: "Two more than a number divided by 3 is eleven."

## Show the Skill

This problems are great to help you start thinking algebraically.

## Warm Up

Why not read the problem and take an educated guess before you break down the algebra?

## Writing Two-Step Equations - Lesson

We show you how to complete all the following problems.

## Practice Worksheet 1

You don't always need to use the variable x. Try using something more abstract to make it interesting.

## Worksheet 2

It is always a good idea to write the components of the equation in the same order as the sentence.

## Review Sheet

This walks you through all the steps you need to know.

## Practice the Skill

Practice this skill by completing the 6 problems on this sheet.

## Quiz

See how well you know this topic.

## "Do Now"

This is designed to be used as a whole class activity.