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What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. 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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CCSS.7.NS.A.3

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What is a coefficient in an algebraic expression?

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

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CCSS.6.EE.A.2B

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What is a constant in an algebraic expression?

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A constant is a fixed value that does not change. In the expression 2x + 9 + 7x, the constant is 9.

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CCSS.6.EE.A.2B

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How do you simplify the expression 5² - 8?

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Using PEMDAS, first calculate 5² = 25, then subtract 8. So, 25 - 8 = 17.

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CCSS.6.EE.A.1

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Back

The result is 27. First, calculate 3^2 = 9, then (2 + 1) = 3, and finally 9 × 3 = 27.

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CCSS.7.EE.B.3

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What does the term 'variable' mean in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

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CCSS.6.EE.A.2B

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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, using an equality sign.

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What is the purpose of parentheses in mathematical expressions?

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Parentheses indicate which operations should be performed first in an expression, following the order of operations.

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CCSS.5.OA.A.1

CCSS.5.OA.A.2

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What is the value of the expression 4x when x = 3?

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When x = 3, the value of 4x is 4 × 3 = 12.

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CCSS.6.EE.A.2C

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What is the term for the highest power of a variable in a polynomial?

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The term is called the degree of the polynomial.