Parts of an Expression

Front

What is a coefficient in an expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression. For example, in the expression 4x, 4 is the coefficient.

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What is a variable in an expression?

Back

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

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What is a constant in an expression?

Back

A constant is a fixed value that does not change. For example, in the expression 5x + 7, 7 is the constant.

Front

What is a term in an expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction. For example, in 3x + 4y - 5, there are three terms: 3x, 4y, and -5.

Front

How do you identify the number of terms in an expression?

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Count the number of distinct parts separated by addition or subtraction. For example, in 2a + 3b - 4 + 5, there are four terms.

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What is the difference between a term and a factor?

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A term is a single part of an expression, while a factor is a number or variable that is multiplied in a term. For example, in the term 6xy, 6, x, and y are all factors.

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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. For example, 2x + 3x simplifies to 5x.

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What are like terms?

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Like terms are terms that have the same variable raised to the same power. For example, 2x and 5x are like terms, while 2x and 3y are not.

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What is the role of parentheses in an expression?

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Parentheses indicate which operations should be performed first in an expression. For example, in (2 + 3) × 4, you add 2 and 3 before multiplying by 4.

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How do you evaluate an expression?

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To evaluate an expression, substitute the values of the variables and perform the operations. For example, to evaluate 2x + 3 when x = 4, substitute 4 for x: 2(4) + 3 = 8 + 3 = 11.