Solving one step equations

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What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically involving addition, subtraction, multiplication, or division.

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What does the term 'coefficient' mean in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in -5y, -5 is the coefficient.

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How do you solve the equation 6x = -30?

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To solve for x, divide both sides by 6: x = -30 / 6, which simplifies to x = -5.

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

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To solve for x, subtract 4 from both sides: x = -3 - 4, which simplifies to x = -7.

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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. For example, -3(x + 7) becomes -3x - 21.

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What is the solution to the equation 5 = f - 2?

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To solve for f, add 2 to both sides: f = 5 + 2, which simplifies to f = 7.

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What is the inverse operation of addition?

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The inverse operation of addition is subtraction.

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What is the inverse operation of multiplication?

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The inverse operation of multiplication is division.

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How do you isolate a variable in an equation?

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To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation -5y + 8 = 0?

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To solve for y, subtract 8 from both sides: -5y = -8, then divide by -5: y = 8/5 or y = 1.6.