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Algebra For Dummies

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Term
Definition
BINOMIAL   An expression with two terms.  
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COEFFICIENT   The Multiplier or factor of a variable  
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CONSTANT   A number that doesn't change in value  
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EXPRESSION   Conbination of numbers and variables grouped together - not an equation or inequality  
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FACTOR   (n) Something multiplying something else. (v) To change the format of several terms added together into a product.  
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LINEAR   An expression in which the highest power of any variable term is one.  
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MONOMIAL   An expression with only one term  
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POLYNOMIAL   An expression with several terms.  
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QUADRATIC   An expression in which the highest power of any variable term is two.  
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SIMPLIFY   To change an expression into an equivalent form that you combined, reduced, factored, or otherwise made more useable.  
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SOLVE   To find the value or values of the variable that makes a statement true.  
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TERM   A grouping of constants and variables connected by multiplication, division, or grouping symbols and separated from other constants and variables by addition or substraction.  
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TRINOMIAL   An expression with three terms.  
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VARIABLE   Something that can have many values (usually represented by a letter to indicate that you have choices for its value).  
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a+b = b+a   commutative property  
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a + (b + c) = (a + b) + c   associative property  
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a(b + c) = a . b + a . c   distributive property  
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a + 0 = 0 + a = a   additive identity  
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a . 1 = 1 . a = a   multiplicative identity  
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ax + ay = a(x + y)   Greatest common factor  
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x^2 - a^2 = (x - a)(x + a)   Difference of two perfect squares  
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x^3 - a^3 = (x - a)(x^2 + ax + a^2)   Difference of two perfect cubes  
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x^3 + a^3 = (x + a)(x^2 - ax + a^2)   Sum of two perfect cubes  
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