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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How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an equation?

Back

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

Front

What is the first step in solving the equation 4(1-x)+3x=-2(x+1)?

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The first step is to distribute the numbers outside the parentheses: 4 - 4x + 3x = -2x - 2.

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What is the solution to the equation 4(1-x)+3x=-2(x+1)?

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The solution is x = -6.

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What does it mean if an equation has no solution?

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An equation has no solution if there are no values for the variable that can satisfy the equation.

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What does it mean if an equation has infinitely many solutions?

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An equation has infinitely many solutions if any value for the variable satisfies the equation.

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How do you solve the equation ½ (2x + 6) = 3x + 13?

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First, distribute ½ to get x + 3 = 3x + 13, then isolate x to find x = -5.

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What is a proportion in mathematics?

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A proportion is an equation that states that two ratios are equal.

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How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then solve for the variable.