Multi-Step Equations Word Problems

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What is a multi-step equation?

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A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

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How do you solve a multi-step equation?

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To solve a multi-step equation, follow these steps: 1) Simplify both sides of the equation if necessary. 2) Use the distributive property to eliminate parentheses. 3) Combine like terms. 4) Isolate the variable by performing inverse operations.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a set of parentheses.

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How do you combine like terms?

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To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

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What does it mean to isolate a variable?

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Isolating a variable means rearranging the equation so that the variable is on one side of the equation and all other terms are on the opposite side.

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What is the first step in solving the equation 22 + 2a = 37 + 6 + a?

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The first step is to simplify the right side of the equation: 37 + 6 = 43, so the equation becomes 22 + 2a = 43 + a.

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What is the solution to the equation 22 + 2a = 37 + 6 + a?

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The solution is a = 21.

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How do you check your solution for an equation?

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To check your solution, substitute the value of the variable back into the original equation and verify that both sides are equal.

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What is a word problem in mathematics?

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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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How do you translate a word problem into an equation?

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To translate a word problem into an equation, identify the quantities involved, assign variables to unknowns, and express relationships using mathematical operations.