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 |