Solving Equations - Algebra 1

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What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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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.

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What is a variable in algebra?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value in an equation.

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What is the balance method in solving equations?

Back

The balance method involves performing the same operation on both sides of the equation to maintain equality.

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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 of the variable satisfies the equation.

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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 get the variable alone on one side of the equation.

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What is a linear equation?

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A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.

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What is the slope-intercept form of a linear equation?

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The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

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How do you check if your solution to an equation is correct?

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You can check your solution by substituting the value back into the original equation to see if both sides are equal.