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# What are mathematical phrases?

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A mathematical phrase is a set of words or a combination of words and numbers that can be written as a mathematical expression. An expression is a mathematical phrase that combines numbers and/or variables using mathematical operations. Expressions represent a value. Examples include variables and/or numerals appearing alone or in combination with operators.

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Mathematical expressions or phrases may contain variables. Variables are symbols used to represent numbers. Values of the number can change depending on other numbers and variables in the expression. Expressions may be numerical or algebraic. Numerical expressions contain only numbers. An example of such an expression is 9 + 8, and is represented by a single number, 17. Algebraic expressions consist of numbers and variables. An example of an algebraic expression is 9 + x.

When working with math expressions, it is sometimes necessary to simplify the expression. This involves combining similar terms and removing parenthesis by using the distributive property. There are four basic steps involved when solving mathematical problems involving expressions. To do this, group terms carrying the same variable in the math expression, and then simplify the variable by doing the mathematical operations in brackets. Perform multiplication and division operations, starting from left to right. Finally, perform the addition and subtraction operations starting from left to right.

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An algebraic expression is a mathematical phrase that contains variables, numbers and operations. Examples of an algebraic expression include a + 1, 2 - b, 10y, and y + 6.

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A monic polynomial is a mathematical expression that consists of coefficients and a single variable, with the leading coefficient equal to one. The leading coefficient is found in the term that contains the variable with the highest degree or exponent.

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"PEMDAS" is an acronym for the order in which operations are performed in a mathematical expression: parentheses, exponents, multiplication, division, addition and subtraction. If there are parentheses, that operation is completed first. Any exponents are taken care of next. Multiplication and division operations follow exponents, but multiplication does not outrank division. Addition and subtraction come last, and they, too, have equal stature.