Solve Multi Step Equations

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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. It often involves combining like terms, using the distributive property, and isolating the variable.

Tags

CCSS.8.EE.C.7B

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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 of the equation by itself, making it easier to solve.

Tags

CCSS.7.EE.B.4A

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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.

Tags

CCSS.6.EE.A.3

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How do you 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. For example, 3x + 2x = 5x.

Tags

CCSS.7.EE.A.1

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What is the first step in solving the equation -11 + 3(b + 5) = 7?

Back

The first step is to apply the distributive property: -11 + 3b + 15 = 7.

Tags

CCSS.8.EE.C.7B

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What is the solution to the equation 2x - 3 + 4x = 27?

Back

The solution is x = 5.

Tags

CCSS.8.EE.C.7B

Front

How do you solve the equation 7(1 - y) = -3(y - 2)?

Back

First, distribute: 7 - 7y = -3y + 6. Then, combine like terms and isolate y to find y = 1/4.

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What is the solution to the equation 4x - 5x + 9 = 5x - 9?

Back

The solution is x = 3.

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What does it mean to check your solution in an equation?

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Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Tags

CCSS.8.EE.C.7B

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

The solution is v = 10.

Tags

CCSS.8.EE.C.7B