The Handy Math Answer Book
complement is the empty or null set (); the union of a set and its complement is the universal set. What are cardinaland ordina ...
element in Bis in A. Like a proper subset, there are also proper supersets (or a super- set that is not the entire set). What do ...
What is combinatorics? Combinatorics is a branch of mathematics—overall, called combinatorial mathemat- ics—that studies the enu ...
How else is the term function used? Unfortunately (as with many mathemati- cal terms), there is often more than one function for ...
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THE BASICS OF ALGEBRA What is the originof the word “algebra”? The word “algebra” comes from the title of the book Al jabr w’al ...
solving polynomial equations with one or more variables; the solutions to such equa- tions are often obtained by the operations ...
ALGEBRA EXPLAINED What is an expressionin mathematics? An expression in mathematics is a statement that uses either numbers, var ...
more) variables in the equation. These can further be defined as any combination of variables or constants linked together by an ...
plural of formula in Latin is “formulae,” but it has become more readily accepted as “formulas.”) Identity—An identity is a math ...
Are there differencesbetween independentand dependent variablesin mathematics and statistics? Yes, there are subtle differences ...
Terms can be combined either by adding or subtracting variables of the same kind. One can also use multiplica- tion and division ...
then add x^2 to each side (another way of subtracting): 2x 9 2 x 4 then add 2xto each side: 4x 9 4 then add 9 to each ...
in 3 x6, the coefficient is 3, as the coefficient takes on the sign of the operation. Terms such as xymay not appear to have ...
algebra, a linear equation is one that contains simply the variable, which makes them one of the simplest types of equations. Fo ...
ALGEBRAIC OPERATIONS What are the commontypes of mathematical operations? Operations are ways to obtain a single entity from one ...
When an equation is false for at least one value, it is called a conditional equation. For example, 6x12 is conditional because ...
tivity. Again, not all operations are distributive. For example, addition is not distribu- tive over multiplication, as in a(b ...
power,” or “three with an exponent of four.”) (For more information on exponents, see “Math Basics.”) The exponent represents th ...
What are the connectionsbetween logarithms and algebra? Logarithms are the numbers of the power to which a base must be raised i ...
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