One Step Equations

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One Step Equations - Grade 6 Math Worksheet PDF

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A one-step equation is a mathematical equation that can be solved in one step, typically by using arithmetic properties (such as addition, subtraction, multiplication, and division) to isolate the variable on one side of the equation and find its value. An example of a one-step equation is 2x = 10, which can be solved by dividing both sides by 2 to find x = 5.

Here are the general steps to solve a one-step equation:

Start with the equation you are given.
Use inverse operations (such as adding the opposite, multiplying by the reciprocal, etc) to cancel out the variable’s coefficient on one side of the equation.
Simplify the equation by combining like terms if possible
Check the solution by substituting it back into the original equation to ensure it makes a true statement.

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One Step Equation Solved Examples:

Example: Solve the equation 3x = 15

Start with the equation 3x = 15
To cancel out the coefficient of the variable, divide both sides by 3, x = 5
No need to simplify further since it’s a one-step equation.
Check the solution by substituting x = 5 back into the original equation 3x = 15 and it’s true.

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One Step Equation FAQS

What is a one-step equation?

A one-step equation is a mathematical equation that can be solved in one step, typically by using the properties of arithmetic (such as addition, subtraction, multiplication, and division) to isolate the variable on one side of the equation and find its value.

How do I solve a one-step equation?

To solve a one-step equation, you typically use the properties of arithmetic (such as addition, subtraction, multiplication, and division) to isolate the variable on one side of the equation and find its value. You can use inverse operations like adding the opposite, multiplying by the reciprocal, etc to cancel out the coefficient of the variable on one side of the equation.

What are some examples of one-step equations?

Examples of one-step equations include 3x = 15, and 7y = 35.

What is the difference between a one-step equation and a multi-step equation?

A one-step equation can be solved in one step, typically by using the properties of arithmetic to isolate the variable on one side of the equation and find its value. A multi-step equation, on the other hand, requires more than one step to solve, typically involving combining like terms, using inverse operations, and/or distributing to find the value of the variable.

How do I check if my solution is correct for a one-step equation?

To check if a solution is correct for a one-step equation, substitute the value of the variable back into the original equation and see if it makes a true statement. If it does, then the solution is correct. If it doesn’t, then the solution is incorrect and you will need to go back and check your work.

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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