Two Step Equation Worksheet

Introduction to Two Step Equation Worksheet

Solving two-step equations is an essential skill in algebra, which involves isolating the variable by performing two operations. These equations are fundamental in mathematics and are used to solve a wide range of problems. In this worksheet, we will explore how to solve two-step equations and provide examples to help you understand the concept.

Understanding Two Step Equations

A two-step equation is an equation that requires two operations to isolate the variable. For example, the equation 2x + 5 = 11 is a two-step equation because we need to perform two operations (subtraction and division) to solve for x. The goal is to isolate the variable on one side of the equation.

Solving Two Step Equations

To solve a two-step equation, we need to follow the order of operations (PEMDAS): - Evaluate expressions inside parentheses - Exponents (none in this case) - Multiplication and Division (from left to right) - Addition and Subtraction (from left to right) We will use the following steps to solve two-step equations: * Identify the operations needed to isolate the variable * Perform the operations in the correct order * Check the solution by plugging it back into the original equation

Examples of Two Step Equations

Here are some examples of two-step equations: * 3x - 2 = 7 * 2x + 4 = 10 * x/2 + 3 = 5 Let’s solve these equations step by step: * For the equation 3x - 2 = 7, we need to add 2 to both sides and then divide by 3. * For the equation 2x + 4 = 10, we need to subtract 4 from both sides and then divide by 2. * For the equation x/2 + 3 = 5, we need to subtract 3 from both sides and then multiply by 2.

📝 Note: When solving two-step equations, it's essential to check your solution by plugging it back into the original equation to ensure it's true.

Table of Two Step Equations

Here is a table summarizing the steps to solve two-step equations:

Equation	Step 1	Step 2	Solution
3x - 2 = 7	Add 2 to both sides	Divide by 3	x = 3
2x + 4 = 10	Subtract 4 from both sides	Divide by 2	x = 3
x/2 + 3 = 5	Subtract 3 from both sides	Multiply by 2	x = 4

In summary, solving two-step equations requires us to perform two operations to isolate the variable. By following the order of operations and checking our solutions, we can ensure that our answers are correct. With practice, you will become more comfortable solving two-step equations and be able to apply this skill to a wide range of problems.