Solving Linear Expressions and Equations

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What is a linear expression?

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A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable raised to the first power.

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x = 1.5 and x = -1.

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The solutions are x = -4 and x = 8.

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What does it mean to distribute in algebra?

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Distributing means to multiply a term by each term inside a set of parentheses.

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Distribute the -4 to both terms inside the parentheses.

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What is an absolute value equation?

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An absolute value equation is an equation that contains an absolute value expression, which represents the distance of a number from zero on the number line.

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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 the principle of equality in solving equations?

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The principle of equality states that if you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.