Multi-step Equations

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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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The first step is to simplify the right side of the equation by distributing -3 and combining like terms.

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How do you combine like terms in the expression 2r + 5 + 4r?

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You add the coefficients of the like terms: 2r + 4r = 6r, so the expression simplifies to 6r + 5.

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How do you solve the equation 2x - 3 + 4x = 27?

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What is the first step in solving the equation 2a - 4a - 5 = 10?

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The first step is to combine like terms: 2a - 4a = -2a, so the equation becomes -2a - 5 = 10.

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What does it mean to isolate a variable in an equation?

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Isolating a variable means to manipulate the equation so that the variable is on one side by itself, making it easier to solve.

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What is the distributive property?

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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 check your solution to an equation?

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You substitute your solution back into the original equation to see if both sides are equal.

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.