Flashcards: First 10

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Created by:

tgrider on December 4, 2009

Subjects:

Algebra I

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Flashcards: First 10

Absolute Value
the distance of a number from zero on a number line
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Terms

Definitions

Absolute Value the distance of a number from zero on a number line
Algebraic Model a mathmatical statement that represents a real-life problem.
Associative Property of Addition (a+b)+c=a+(b+c)
Associative Property of Multiplication (ab)c = a(bc)
Bar Graph a graph that uses horizontal or vertical bars to display data
Base the number in a power that is being repeated
Closure Poperty of Real Number Addition the sum of any real two numbers is again a real number
Closure Property of Real Number Multiplication the product of any two real numbers is again a real number
Coefficient number in front of a variable
Commutative Property of Multiplication ab = ba
Commutative Property of Addition a + b = b + a
Counterexample an example that proves a statement false
Data information; facts, figures, statistics used to describe something
Distributive Property a(b+c)=ab+ac
Domain the set of all input values
Equation a mathematical statement that two expressions are equal
Equivalent Equations equations that have the same solution
Exponent a mathematical notation indicating the number of times a quantity is multiplied by itself
Formula an algebraic equation that relates two or more variables
Function a relation where every input value has a unique output value
Function Notation one of its variables is isolated on one side of the equation
Graph of a Number the point on a number line that corresponds to a number
Grouping Symbols parentheses and brakets that indicate the order in which operations should be performed
Identity an equation that is true for all values of the variable
Identity Property of Addition the sum of any number and zero is the original number
Identity Property of Multiplication the product of any number and 1 is the original number
Inequality a mathematical sentence that contains less than, greater than, less than or equal to, greater than or equal to, or not equal
Input a value in the domain of a function
Input-Output Table a table used to describe a function by listing the outputs for several different inputs
Integer positive and negative whole numbers
Inverse Property of Addition the sum of a number and its opposite is 0
Like Terms terms with exactly the same variable factors in a variable expression
Line Graph a graph that uses line segments to connect data points
Linear Equations an equation in which the variable or variables are all to the first power and none multiply each other
Modeling representing real-life situations by means of equations or inequalities
Multiplicative Property of Negative One To multiply by negative one. [-1(a)=-a]
Negative Number a number less than zero
Numerical Expression an expression that represents a particular number
Opposite two numbers that are the same distance from zero on the number line
Order of Operations a set of rules for evaluating an expression involving more than one operation
Ordered Pair a pair of numbers, (x, y), that indicate the position of a point on a coordinate plane
Output a value in the range of a function
Percent a ratio that compares a number to 100
Positive Number a number greater than zero
Power a mathematical notation indicating the number of times a quantity is multiplied by itself
Properties of Equality the rules of algebra used to transform equations into equivalent equations
Range the collection of all output values of a function
Rate the quotient of two different quantities that are changing
Ratio the relationship of two quantities a and b
Real Number Line a line whose points correspond to the real numbers
Reciprocals their product is -1
Rounding Error a miscalculation that results from rounding off numbers to a convenient number of decimals
Simplified Expression it has no grouping symbols and all like terms have been combined
Slope the ratio of the vertical rise to the horizontal run
Slope-Intercept Form y=mx+b
Solution the set of values that give a true statement when substituted into an equation
Term the parts that are added to form an expression
Unit Analysis writing the units of each variable in a real life problem to help deternime the units for the answer
Unit Rate a rate with the second term being one unit (e.g., 50 mi/gal, 4.5 km/sec).
Value the number a variable represents
Variable a letter used to represent a range of numbers
Variable Expression an expression that includes numbers, variables, and operations
Verbal Model describes real-world situation using words as labels and using math symbols to relate the words
Whole Number positive integers alone with zero
X-Intercept the x-coordinate of a point where a graph crosses the x-axis
Y-Intercept the y-coordinate of a point where a graph crosses the y-axis
Real Numbers the set of numbers consisting of positive and negative numbers and zero

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