Multi-Step Equations

Front

What is a multi-step equation?

Back

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.

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 two or more terms inside a set of parentheses.

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How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation. This may involve adding, subtracting, multiplying, or dividing both sides.

Front

What does it mean to balance an equation?

Back

Balancing an equation means ensuring that both sides of the equation have the same value. This is done by performing the same operation on both sides.

Front

What is the first step in solving the equation -6(1 - 5v) = 54?

Back

The first step is to apply the distributive property: -6 + 30v = 54.

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

Back

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 30 = -5(6n + 6)?

Back

The solution is n = -1.

Front

What does it mean to combine like terms?

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Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation -13 = 5(1 + 4m) - 2m?

Back

The solution is m = -2.

Front

What is the value of x in the equation 5(4x - 2) = 2(3 + 6x)?

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The value of x is -1.