3.2 Writing Algebraic Expressions

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

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What does the term 'coefficient' mean?

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A coefficient is a numerical factor in a term of an algebraic expression. In the expression 4x, 4 is the coefficient.

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What does 'variable' mean in algebra?

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A variable is a symbol, often a letter, that represents an unknown number. For example, in the expression x + 2, x is the variable.

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What does 'constant' mean in an algebraic expression?

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A constant is a fixed value that does not change. In the expression 3x + 7, 7 is the constant.

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What does the term 'product' indicate in mathematics?

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The term 'product' indicates multiplication. For example, the product of 5 and 3 is 15.

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How do you translate 'the sum of a number x and 10' into an algebraic expression?

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The algebraic expression is x + 10.

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How do you translate 'the difference of a number p and 4' into an algebraic expression?

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The algebraic expression is p - 4.

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What does 'fewer than' indicate in algebraic expressions?

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'Fewer than' indicates subtraction. For example, '9 fewer than a number p' translates to p - 9.

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What is the algebraic expression for 'the product of a number k and 74'?

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The algebraic expression is 74k.

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What does the term 'quotient' indicate in mathematics?

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The term 'quotient' indicates division. For example, the quotient of 20 and 4 is 5.