Word Problems & Multi-Step Equations

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What is a word problem?

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 a mathematical equation to solve it.

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What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

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How do you find the number of items per group in a division problem?

Back

To find the number of items per group, divide the total number of items by the number of groups.

Front

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

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The first step is to simplify both sides of the equation if possible, which may include combining like terms or distributing.

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How do you isolate a variable in an equation?

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To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

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What does it mean to combine like terms?

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Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

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How do you check your solution to an equation?

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To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation -2(m + 3) - 5m = -34?

Back

m = 4.

Front

What is the solution to the equation -15b + 21 + 5b = -19?

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b = 4.