Solving Two-Step Equations (with fractions)

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What is a two-step equation?

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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 reverse order: first undo addition or subtraction, then undo multiplication or division.

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Solve the equation: 7 - (5x - 13) = -25

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x = 9

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Back

Multiply both sides by (x + 4) to eliminate the fraction.

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Back

x = -7

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What does it mean to simplify an equation?

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Simplifying an equation means to reduce it to its simplest form, making it easier to solve by combining like terms and eliminating fractions if possible.

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Solve the equation: -5(4x - 2) = -2(3 + 6x)

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x = 2

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What is the purpose of using fractions in equations?

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Fractions in equations allow for more precise representation of relationships and can model real-world situations more accurately.

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Solve the equation: (2x - 3) / 4 = 9

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x = 19.5

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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.