Word problems with equations

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What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or story, requiring the reader to extract relevant information and formulate an equation to solve it.

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What does it mean to solve an equation?

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To solve an equation means to find the value of the variable that makes the equation true, typically isolating the variable on one side of the equation.

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What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter (like x or t), that stands for an unknown value in an equation.

Front

What is the purpose of using equations in word problems?

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Equations are used in word problems to represent relationships between quantities and to find unknown values based on given information.

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How do you set up an equation from a word problem?

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To set up an equation from a word problem, identify the quantities involved, define the variable, and translate the relationships described in the problem into mathematical expressions.

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What does it mean for an equation to be balanced?

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An equation is balanced when both sides of the equation have the same value, meaning the expressions on either side of the equal sign are equivalent.

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What is the first step in solving a word problem?

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The first step in solving a word problem is to read the problem carefully and identify the key information and what is being asked.

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

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The equal sign indicates that the expressions on both sides of the equation are equal in value, and it is used to show the relationship between the quantities.

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How can you check if your solution to an equation is correct?

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

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What is a constant in an equation?

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A constant is a fixed value that does not change, often represented by a number in an equation.