Algebraic Expressions

Front

What is an algebraic expression?

Back

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 it mean to factor an expression?

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Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression. For example, 4x + 30y can be factored to 2(2x + 15y).

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What is the sum of seven and x represented as an algebraic expression?

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The sum of seven and x is represented as 7 + x.

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How can the expression 6x - 4 be described in words?

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The expression 6x - 4 can be described as 'the product of six and a number x decreased by four.'

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What does 'decreased by' indicate in an algebraic expression?

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'Decreased by' indicates subtraction. For example, 'twenty decreased by x' is written as 20 - x.

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What is the term for the operation of adding two numbers?

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The term for the operation of adding two numbers is 'addition.'

Front

How is the expression 'twenty decreased by x' written in algebraic form?

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The expression 'twenty decreased by x' is written as 20 - x.

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What does the term 'total of' signify in mathematics?

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The term 'total of' signifies addition. For example, 'the total of 5 and 3' means 5 + 3.

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What is a variable in an algebraic expression?

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A variable is a symbol, often a letter, that represents an unknown value. For example, in the expression 3x + 2, 'x' is the variable.

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What is the difference between an expression and an equation?

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An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal, using an equality sign.