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Algebra 2H Ch 1.

Formulas and Vocabulary

TermDefinition or Example or Formu
Recipriocal Multiplicative Inverse; if b then 1/b (Definition of Division)
Numerical Expression Consists of numbers, operations, and grouping symbols.
Power An expression formed by repeated multiplication of the same factor. Consists of an exponent and a base.
Exponent Represents the number of times the base is used as a factor.
Base The number in a power.
Variable A letter that is used to represent one or more numbers.
Algebraic Expression An expression involving variables is called an algebraic expression. You evaluate the algebraic expression when you simplify.
Term The parts of an expression that can be written as a sum added together is called a term.
Variable Term A term that has a variable term is called a variable term.
Constant Term A term that has no variable part is called a constant term.
Coefficient When a term is a product of a number and a power of a variable, the number is called the coefficient of a power; the number in front of the variable.
Like Terms Terms that have the same variable parts. (Including the variable and the exponent, but not the coefficient)
Equivalent Expressions Two algebraic expressions if they have the same value for all values of their variables.
Identity A statement that equates equates two equivalent expressions.
Equation A statement that two expressions are equal.
Linear Equation An equation that has one variable and can be written in the form ax+b=0 where a and b are constants and a cannot equal zero.
Solution of an Equation A number that if substituted for the variable results in a true statement.
Equivalent Equation Two equations if they have the same solutions.
Additive Property of Equality If a=b, then a+c=b+c
Subtraction Property of Equality If a=b, then a-c=b-c
Multiplication Property of Equality If a=b and c is not 0, then a*c=b*c
Division Property of Equality If a=b and c is not 0, then a/c=b/c
Real Numbers (R)Any number that is R
Rational Numbers (Q) Any number that is terminating or repeating decimal .5(Terminating), -3/4, .1212(Repeating) 9
Irrational Numbers (I) Any number that is a non-terminating and non repeating decimal Root 2, Root 3, Root 5, Pie, -3.164916495164958(Pattern Decimal)
Integers (Z)Whole numbers both negative and positive (Infinite Set) -2,0,1
Whole Numbers (W) Any whole number that is positive 0, 1, 2, 3,
Quadratic Term Power with the variable and exponent of 2
Linear Term Variable and constant term with exponent of 1
Natural/Counting Numbers (N) Any whole numbers excluding 0 (Infinite Sets)1,2,3
Relations of Types of Numbers R consists of Q and I. Q consists of Z consists of W consists of N consists of 0.
Closure Property of Addition a+b is a R Number.
Closure Property of Multiplication ab is a R Number.
Commutative Property of Addition a+b=b+a
Commutative Property of Mulitiplication ab=ba
Associative Property of Addition (a+b)+c=a+(b+c)
Associative Property of Multiplication (ab)c=a(bc)
Identity Property of Addition a+0=a, 0+a=a
Identity Property of Multiplication a*1=a, 1*a=a
Inverse Property of Addition a+(-a)=0
Inverse Property of Multiplication a*1/a=1, where a cannot be 0
Distributive a(b+c)=ab+ac
Formula An equation that relates two or more quantities, usually represented by variables.
Formula of distance d=rt D is distance, r is rate, t is time
Formula of temperature F=(9/5)C+32 F is degrees Farenheit, C is degrees Celsius
Formula of the Area of a triangle A=1/2bh A is Area, b is base, h is height
Formula of the Area of a rectangle A=lw A is area, l is length, w is width
Formula of the Area of a Trapezoid A=(1/2)(Bone+Btwo)h A is area, bone is one base, btwo is the other base, h is height
Area of a circle A=Pier^2 A is area, r is radius
Circumference of a circle 2Pier C is circumference, r is radius
Perimeter of a Rectangle P=2l+2w P is perimeter, l is length, w is width
Solve for a variable To rewrite an equation as an equivalent equation in which the variable is on one side and does not appear on the other side
Verbal Model An equation written in words
Linear Inequality A linear inequality in one variable can be written in one of the following forms where a and b are real numbers and a cannot be 0
Solution of an Inequality An inequality in one variable is a value that, when substituted for the variable, results in a true statement
Graph of an Inequality Consists of all points on a number line that represent solutions.
Compound Inequality An inequality with two solutions joined by and or or.
Equivalent Inequalities Inequalities that have the same solution as the original inequality.
Absolute Value |x| the distance the number is from 0 on a number line.
Extraneous Solution An apparent solution that must be rejected because it does not satisfy the original equation.
Opposite Additive Inverse; if b then -b (Definition of Subtraction)
Created by: study4ever
 

 



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