Parts of an Expression

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What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 2y + 7, the constant is 7.

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Define a coefficient in an algebraic expression.

Back

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

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What is a variable in algebra?

Back

A variable is a letter or symbol that represents an unknown number or value. For example, in the expression 3x + 2y, x and y are variables.

Front

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

Back

The number of terms in an expression is determined by counting the distinct parts separated by plus or minus signs. For example, in 3x + 2y + z, there are 3 terms.

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What is the difference between a term and a factor in algebra?

Back

A term is a single mathematical expression that can be a number, variable, or the product of numbers and variables. A factor is a number or expression that divides another number or expression evenly.

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What is the role of parentheses in algebraic expressions?

Back

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

Front

Explain what an algebraic expression is.

Back

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

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What is the significance of the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the expression. It determines the polynomial's behavior and the number of roots it can have.

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How do you simplify an algebraic expression?

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To simplify an algebraic expression, combine like terms and perform any operations indicated. For example, 2x + 3x simplifies to 5x.

Front

What is a linear expression?

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A linear expression is an algebraic expression in which the highest exponent of the variable is 1. For example, 2x + 3 is a linear expression.