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Absolute Value - the absolute value of a real number a,
denoted by lal, is the distance between a and 0 on the number line. Additive Identity - 0, since 0 added to any number gives that number. ( a + 0 = a) Algebraic Expressions -variables and numbers connected by mathematical operations. Bar graph -a 2-dimensional picture that consists of individual rectangles(or bars). Base -the quantity being raised to a power. Binomial -a polynomial with exactly two terms. Coefficient -the number mulitiplied by a variable. Complementary angles -two angles whose sum is 90 degrees. Constant-a number that does not change value. Degree of a term(in one variable) -the exponent. Degree of a polynomia l-the greatest degree of any term of the polynomial. Difference of two Squares -a polynomial where the two terms are perfect squares separated by subtraction. Equivalent equations -two equations that have the same solution. Exponent -the number of times the base is used as a factor. Exponential expression -a term that includes a coefficient, a variable, and a power of that variable. Exponential Notation -an expression that includes a quantity being raised to a power. Equations -a statement that two expressions are equal. Factor -in a product, each number being multiplied is called a factor. Factoring by grouping -when four or more terms are given in a polynomial try working with two terms at a time and then find the GCF. Factoring a polynomial -the process of writing a polynomial as a product. Formula -a mathematical statement that describles the relationship among numbers or variables. Graph of a linear equation - a 2-dimensional representation which results in a staight line. Greatest common factor -(GCF) the product of the largest numerical factor common to all terms and the variable factor raised to the lowest exponent in all terms. Grouping Symbol -parentheses, brackets, or braces used to collect mathematical expressions. Hypotenuse -the side opposite the right angle of a triangle. Identity -an equation that has an infinite number of solutions. Inequality symbo -any of the following symbols used to denote the relationship between two mathematical statements < , >, < , >. Integers - {..., -2, -1, 0, 1, 2, 3,...} Irrational Numbers - nonrational numbers Least common denominator - (LCD) a polynomial whose factors include all the factors of the denominators, each raised to the highest power from any of the given denominators. Leg -the sides adjacent to the right angle of a triangle. Like terms -terms that have the same variable raised to the same power (also called similar terms). Line graph -a 2-dimensional picture that consists of points connected by a line. Linear equation - in one variable can be
written in the form Ax + B = C where A, B, and C are real numbers and A
Linear equation in two variables - can
be written in the form Ax + By = C where A, B, and C are real numbers and A
Monomia l -a polynomial with exactly one term. Multiplicative Identity - the identity is 1. (a ·1 = a) Natural Numbers {1, 2, 3, ...} Opposites -two quantities whose sum is 0 (also called additive inverses). Perfect Square Trinomial-a polynomial of three terms that factors into the same two binomials. Ordered Pair - written (x,y), the x represents a value on the horizontal axis and the y represents a value on the vertical axis, while (x,y) represents a point on the graph. Origin - the ordered pair (0,0). Parallel lines - two lines with the same slope. Perpendicular lines - two lines that intersect at right angles. Perfect Square Trinomial - a polynomial of three terms that factors into the same two binomials. Polynomial in x -a finite sum of terms of the form axn , where a is a real number and n is a whole number. Power -the number of times a base is used as a factor. Also called an exponent. Prime -a polynomial that does not factor. Quadrant - one of the four sections where the horizontal and vertical number lines divide the plane. Quadratic equation -an equation that can be written in
the form ax2 + bx + c = 0 where a, b, and c
are real numbers and a Rational Expression - a quotient of polynomials. Rational Numbers - { Real Numbers - Numbers that correspond to points on the number line. This includes all natural, whole, integers, rational, and irrational numbers. Reciprocals -two numbers whose product is 1 (also called multiplicative inverses). Rectangular coordinate system - a 2-dimensional graph that includes a horizontal and vertical number line. Right triangle - a three sided polygon that contains a 90 degree angle. Scientific notation - if a number is written as the product of a number a, where 1 < a < 10, and an integer power r of 10: a x 10r . Set -a collection of objects. Slope - the steepness of a line. Slope-intercept form - a linear equation written in the form y = mx + b. Solution -the value of the variable or variables that makes the equation true. Standard form of a linear equation -
the form Ax + By = C where A, B, and C are real numbers and A
Standard Form of a quadratic equation
-the form ax2 + bx + c = 0 where a, b, and c
are real numbers and a Supplementary angles -two angles whose sum is 180 degrees. Term -a number or the product of a number and a variable (including exponents). Translate -to change from written words to a mathematical statement. Trinomial -a polynomial with exactly three terms. Variable -letter used to denote an unknown quantity. Whole Numbers - {0, 1, 2, 3,...} x-axis - the horizontal number line. x-coordinate - the x value in the ordered pair (x,y). x-intercept - a point on the x-axis (a,0). y-axis - the vertical number line. y-coordinate - the y value in the ordered pair (x,y). y-intercept - a point on the y-axis (0,b).
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Copyright 1999, Collin County Community College District and Rosemary M. Karr, Ph.D. All material on this site is for CCCCD class use only. Any unauthorized duplication or distribution is prohibited.