Distributive Property and Combine Like Terms (Per. 4)

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What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

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What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 3x, 3 is the coefficient.

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What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 2x + 4, the number 4 is a constant.

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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, separated by addition or subtraction.

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What is the perimeter of a triangle?

Back

The perimeter of a triangle is the total length of all its sides, calculated by adding the lengths of each side.

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What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width (Area = length × width).

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What does it mean to simplify an expression?

Back

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

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What is the difference between a variable and a constant?

Back

A variable is a symbol that represents an unknown value, while a constant is a fixed value that does not change.

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What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operations (like addition, subtraction, multiplication, and division).