Solving 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, often involving operations such as addition, subtraction, multiplication, and division.

Front

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.

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What is the distributive property?

Back

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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What does it mean to combine like terms?

Back

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

Front

How do you solve for x in the equation 3x + 2(4x - 4) = 3?

Back

First, distribute the 2: 3x + 8x - 8 = 3. Then combine like terms: 11x - 8 = 3. Add 8 to both sides: 11x = 11. Finally, divide by 11: x = 1.

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What is the first step in solving the equation 3(x - 1) = 2x + 9?

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The first step is to distribute the 3: 3x - 3 = 2x + 9.

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

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Combine like terms: 6x - 3 = 27. Add 3 to both sides: 6x = 30. Divide by 6: x = 5.

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What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.