One-step Equation Word Problems

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What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically involving addition, subtraction, multiplication, or division to isolate the variable.

Front

How do you represent a word problem as an equation?

Back

To represent a word problem as an equation, identify the unknown variable, translate the words into mathematical operations, and set up an equation that reflects the relationship described in the problem.

Front

What does the variable 'x' typically represent in word problems?

Back

In word problems, 'x' usually represents the unknown quantity that you are trying to find.

Front

How do you isolate a variable in a one-step equation?

Back

To isolate a variable in a one-step equation, perform the inverse operation on both sides of the equation to solve for the variable.

Front

What is the first step in solving a one-step equation?

Back

The first step in solving a one-step equation is to identify the operation being performed on the variable and then apply the inverse operation.

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What does it mean to 'translate' a word problem?

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Translating a word problem means converting the words and phrases into mathematical symbols and expressions that can be used to form an equation.

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How can you check if your solution to a one-step equation is correct?

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You can check your solution by substituting the value of the variable back into the original equation to see if both sides are equal.

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What is the relationship between the cost of items and the number of items in a word problem?

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The relationship is often expressed as a multiplication equation, where the total cost equals the cost per item multiplied by the number of items.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

How do you set up an equation for a problem involving total money spent?

Back

Set up the equation by equating the total money spent to the product of the cost per item and the number of items.