Order of Operations, Combining like terms, and DP

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What is the Order of Operations?

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The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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What are like terms?

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Like terms are terms in an expression that have the same variable raised to the same power. For example, in the expression 3x + 4x, both terms are like terms because they both contain the variable x.

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What is a constant in an expression?

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A constant is a fixed value that does not change. In the expression 3x + 4 - 5 + 6y, the constants are 4 and -5.

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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, in 3x + 4x, you combine them to get 7x.

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Simplify the expression: 14(b - 10).

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The simplified expression is 14b - 140.

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What is the difference between an expression and an equation?

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An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal, indicated by an equality sign.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a set of parentheses.

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