Parts of an Algebraic Expression-Honors

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 21 + g - 5h, the number 21 is a constant.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a number that is multiplied by a variable. For example, in the expression 3w + 5t - 15, the number 3 is the coefficient of w.

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol (often a letter) that represents an unknown value. For example, in the expression 13r - 29, 'r' is a variable.

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both. For example, in the expression 3x + 2y + z, there are three terms: 3x, 2y, and z.

Front

How many terms are in the expression 3x + 2y + z?

Back

There are 3 terms in the expression: 3x, 2y, and z.

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If there is not a number in front of a variable, what is it understood to be?

Back

It is understood to be 1. For example, if we have 'x', it is understood as 1x.

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What is the difference between a term and a coefficient?

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A term is a complete part of an expression, which can include numbers and variables, while a coefficient is specifically the number in front of a variable.

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What does it mean for an expression to be simplified?

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Simplifying an expression means to combine like terms and reduce it to its simplest form.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms.

Front

What is an algebraic expression?

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An algebraic expression is a combination of numbers, variables, and operations (like addition and subtraction) that represents a value.