Simplifying Expressions

Front

What are like terms?

Back

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

Front

What is the process of simplifying an expression?

Back

Simplifying an expression involves combining like terms and performing any operations to reduce the expression to its simplest form.

Front

What is a coefficient?

Back

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

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What is a variable?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions, commonly denoted by letters such as x, y, or z.

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What is a constant term?

Back

A constant term is a term in an expression that does not contain any variables. For example, in the expression 5x + 3, the number 3 is a constant term.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 2x + 3x = 5x.

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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 each term inside a parentheses.

Front

Simplify the expression: 2(x + 3) + 4.

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2(x + 3) + 4 = 2x + 6 + 4 = 2x + 10.

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What does it mean to simplify an expression?

Back

To simplify an expression means to rewrite it in a more compact or easier-to-understand form, often by combining like terms and eliminating parentheses.

Front

What is the result of simplifying: 4x^2 - 2x + 3x?

Back

4x^2 + 1x or 4x^2 + x.