Two Step Equations

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What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves addition or subtraction followed by multiplication or division.

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How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order of operations. First, eliminate the constant term by adding or subtracting, then eliminate the coefficient by multiplying or dividing.

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Back

Front

What is the first step to solve the equation: 11 = 3z + 5?

Back

Subtract 5 from both sides to isolate the term with the variable: 11 - 5 = 3z.

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Solve the equation: 11b + 7 = 40

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What does it mean to check your solution in a two-step equation?

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

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Solve the equation: 4x + 22 = -34

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What is the purpose of using inverse operations in solving equations?

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Inverse operations are used to undo the operations applied to the variable, allowing us to isolate it and find its value.

Front

Solve the equation: -5t + 9 = 24

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What is the importance of maintaining balance in an equation?

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Maintaining balance ensures that both sides of the equation remain equal when performing operations, which is essential for finding the correct solution.