12/10 LSAE Unit 13 12/5 and 12/9

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x = 4

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Define the term 'variable' in mathematics.

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations.

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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 the distributive property?

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The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions.

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What is the purpose of isolating the variable in an equation?

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Isolating the variable helps to find its value by getting it alone on one side of the equation.

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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 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 significance of the equal sign in an equation?

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The equal sign indicates that the expressions on both sides of it have the same value.

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable in an algebraic expression.