Algebraic Expressions

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Expressions

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mathematical phrase for a collection of symbols, numbers and operators; composed of terms and operations

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Sum

Back 2

a) to add, and b) the result of adding two or more numbers

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Difference

Back 3

Amount by which one quantity is larger or smaller than another

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Product

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Result of multiplying two or more numbers

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Quotient

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Result when one number is divided by another

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Simplify

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To make plainer or easier; to make less complex

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Like-terms

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Terms that differ only in their coefficient (for example, 2x and 3x)

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Pronumerals

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Letter or symbol used to represent a number

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Expand

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To multiply quantities which then often gets rid of brackets

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Distributive law

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The rule: a(b+c)=ab+ac

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Factorise

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To identify quantities that multiply together to give the original quantity or expression

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Taking out common factors

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to take out the quantity that is a factor of all terms in an expression

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Grouping

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To put like things together

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Evaluate

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Substitute numbers into an algebraic expression to find their number values

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Substitution

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Algebraic process used to find solutions to simultaneous equations (for example, 2x+2y=7; x+y=2)

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Binomial

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an expression that is a sum or difference of two terms, as 3x + 2y and x2 − 4x.

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Difference of perfect squares

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The difference of two quantities that are the results of multiplying a whole number or an expression by itself (for example: 9,16,25,x2,(x-2)2

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Quadratic Expressions

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Algebraic expression in which the highest power that the variable is raised to is 2

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Algebraic fractions

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Fractions in which letters are used to represent numbers; examples include a/b, xy/z2, and 1/(x + y). Like numerical fractions, algebraic fractions may be simplified or factored. Two equivalent algebraic fractions can be cross-multiplied: if a/b = c/d then ad = bc.

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Cancel

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to eliminate by striking out a factor common to both the denominator and numerator of a fraction, equivalent terms on opposite sides of an equation, etc

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Parentheses

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either or both of a pair of signs ( ) used in writing to indicate separate groupings of symbols in mathematics and symbolic logic, etc

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Brackets

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parentheses of various forms indicating that the enclosed quantity is to be treated as a unit.