Basic Algebra Skills

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What is the process of simplifying an algebraic expression?

Back

The process of simplifying an algebraic expression involves combining like terms and reducing the expression to its simplest form.

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What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

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How do you combine like terms?

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To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 4x = 7x.

Front

What is the result of simplifying the expression 5x + 8y - 2x + 2y?

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The result is 3x + 10y.

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What is the perimeter of a square in terms of its side length 'a'?

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The perimeter P of a square is given by the formula P = 4a, where 'a' is the length of one side.

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What is the first step in simplifying the expression 2p - 7 - 4p + 12?

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The first step is to combine like terms, which results in -2p + 5.

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What is the definition of an algebraic expression?

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An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols, but does not have an equality sign.

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What does it mean to collect like terms?

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Collecting like terms means grouping terms that have the same variable and exponent together to simplify an expression.

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

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A term is a single mathematical expression that can be a number, variable, or the product of numbers and variables. A coefficient is a numerical factor in a term, such as the 3 in 3x.

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How do you identify like terms in an expression?

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To identify like terms, look for terms that have the same variable(s) raised to the same power. For example, in the expression 2x^2 + 3x^2 + 4x, the like terms are 2x^2 and 3x^2.