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.

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What is the first step in solving the equation 2(4x - 3) - 8 = 4 + 2x?

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The first step is to distribute the 2 to both terms inside the parentheses: 8x - 6 - 8 = 4 + 2x.

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How do you isolate a variable in an equation?

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To isolate a variable, you perform inverse operations to move all terms involving the variable to one side of the equation and constant terms to the other side.

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What does it mean to distribute in an equation?

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Distributing means to multiply a term outside the parentheses by each term inside the parentheses.

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What is the solution to the equation 2x + 1 = 2x - 1?

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The solution is 'No Solution' because the equation simplifies to 1 = -1, which is a contradiction.

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

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Checking your solution ensures that the value satisfies the original equation, confirming that the solution is correct.

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

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The first step is to distribute -4 to both a and -5, resulting in 2a - 4a + 20 = 10.

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What is an example of a step that cannot be performed first in solving an equation?

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In the equation 5 - 2(x - 7) = x + 1 + 3x, you cannot simply subtract 2 from 5 first.

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What is the process of combining like terms in an equation?

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

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What does it mean if an equation has no solution?

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An equation has no solution if the simplification leads to a contradiction, such as a false statement.