# Algebra 3 Flashcards

Terms Definitions
 fewer than subtraction grouping symbols exponents and roots term an algebraic expression involving letters and/or numbers (called factors), multiplied together. statistics methods of collecting, organizing and interpreting data inequality statement that two quantities are unequal graph to draw, or plot the points named trinomial polynomial with three terms which are not like origin represented by two zeros separated by a comma on a coordinate plane together indicating addition, or the joining of two or more amounts coordinate axis reference line on a coordinate plane integer one of the positive or negative numbers or zero focus special point used to construct and define a conic section radical expression expression in which radical signs appear direct variation relationship between two variables in which one is a constant multiple of the other The form of a line called Standard for is________and must not have any_____and A must be_____. Ax+By=C/fractions/positive domain set of all possible values of an independent variable in a function open interval interval that does not contain its endpoints asymptote lines graph of a relation which approaches more closely the further the graph is followed hyperbola conic section that can be thought of as an inside out ellipse multiplicative inverse property for every nonzero number a/b, where a,b does not = 0, there is exactly one number b/a, such that a/b x b/a =1 arithmetic sequence a sequence in which each term after the first is found by adding a constant, the common difference D, to the previous term. least common multiple smallest number that is the multiple of two or more other numbers identify the variables act of determining the unknown values in an equation extraneous solution solution of a simplified version of an equation that does not satisfy the original equation Properties of an equality Transformations used to isolate the variable in an equation. step function a function whose graph is a series of line segments. Slope Form m= y minus y divided by x minus x multiplicative identity property for any number a, a x 1 = 1 x a x+9-2=3+2x-1 x+9-2=3+2x-1x-x+9-2=3+2x-x-19-2-3=3-3+x-14+1=x-1+15=x 9x7 63 8x6 48 scalar a quantity possessing only magnitude. What is X in this equation? 9+(16/4)+6-(10*10)=x coterminal having a common boundary; bordering; contiguous. matrix a rectangular array of numbers, algebraic symbols, or mathematical functions, esp. when such arrays are added and multiplied according to certain rules. coefficient a number or quantity placed (generally) before and multiplying another quantity, as 3 in the expression 3x. algebra the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. series a sequence of terms combined by addition, as 1 + Â½ + Â¼ + â…› + â€¦ Â½ n. linear equation a first-order equation involving two variables: its graph is a straight line in the Cartesian coordinate system. cramer's rule a method involving the determinant of the coefficients, for calculating a unique solution for a given system of linear equations. conditional probability the probability that an event will occur under the condition that another event occurs first: equal to the probability that both will occur divided by the probability that the first will occur. directrix a fixed line used in the description of a curve or surface. period the duration of one complete cycle of a wave or oscillation; the reciprocal of the frequency. slope the tangent of the angle between a given straight line and the x-axis of a system of Cartesian coordinates. probability distribution a distribution of all possible values of a random variable together with an indication of their probabilities. sine (in a right triangle) the ratio of the side opposite a given acute angle to the hypotenuse. secant (in a right triangle) the ratio of the hypotenuse to the side adjacent to a given angle. periodic function a function of a real or complex variable that is periodic. cotangent (in a right triangle) the ratio of the side adjacent to a given angle to the side opposite. ellipse a plane curve such that the sums of the distances of each point in its periphery from two fixed points, the foci, are equal. It is a conic section formed by the intersection of a right circular cone by a plane that cuts the axis and the surface of the con geometric series a sequence of terms in which the ratio between any two successive terms is the same, as the progression 1, 3, 9, 27, 81 or 144, 12, 1, logarithmic function a function defined by y = logbx, esp. when the base, b, is equal to e, the base of natural logarithms.
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