Princeton Review SAT Math Flashcards Exam Questions And Answers Well Elaborated.

Polynomial Division - correct answer Dividing a polynomial by a term of polynomial either Plug In, Factor, or use polynomial division. Distinct - correct answer Different ex0 4,882,929 contains four distinct digits: 4,8,2,9 Remainder (Polynomials) - correct answer What is "left over" after polynomial division. It can be expressed as a constant, a polynomial, or as a fraction with the divisor as the denominator. Remainder (numbers) - correct answer What is "left over" after division always expressed as an integer. Factors (Polynomials) - correct answer Any polynomial that divides with no reminder into another polynomial. The factors of x2+ 7x + 12 are (x+3) and (x+4) Factor (numbers) - correct answer Any integer that divides with no remainder into another integer. The factors of 12 are 12,6,4,3,2, and 1. Quadratic Formula - correct answer x = -b plus or minus the square root of b squared minus 4ac all over 2a. Margin of Error - correct answer The maximum expected distance between the estimated value (based on sample population) and the real value in total population. often expressed using a confidence interval. Quotient - correct answer The result of division. Product - correct answer The result of multiplication. Sum - correct answer The result of addition. Positive Difference - correct answer The distance between two numbers on a number line, expressed as a positive number. Vertex Form of a Parabola - correct answer f (x) = a(x - h)2 + k, where (h,k) is the vertex. The maximum or minimum value of the function is k and h is the value that results in that maximum or minimum. Compound Function - correct answer A function that operates on another function, such as f (g(x)); start with the inner function fist, and then put that result into the outer function. Difference - correct answer The result of subtraction. Non-negative - correct answer All positive numbers and zero. Plugging in Basic Approach - correct answer 1. Identify the Variables 2. Plug in a number for the variable(s). 3. Work the steps of the problem. 4. Circle the target number. 5. Use POE until only one choice is left. Plugging in the answers (PITA) Basic Approach - correct answer 1. Label the answer choices. 2. If the question asks for the greatest or smallest value, start there. Otherwise, start with one of the answers in the middle. 3. Work the steps using Bite-Sized pieces. 4.Eliminate answers that are to big or to small. 5. When one of the answers works- STOP. Integer - correct answer Any non decimal, non fractional number: 5, 0, 1, -10, 9, 8.00, 24/3. Negative - correct answer Any number less that zero: -5, -0.003, -1/2. Group Equation - correct answer Total = Group 1 + Group 2 - Both +Neither Bisect - correct answer To cut into two equal halves; both lines and angles can be bisected. y= mx+b - correct answer The slope intercept form of the equation of a line, where b is the y-intercept and m is the slope. Confidence Interval - correct answer The range of values in which a result has a specified probability of falling within. Example- A poll states that 55% of people prefer candidate X with a confidence interval of 3%, 19 times out of 20. This means that if one were to repeat the poll 20 times, the results would be between 52-58% 19 times for candidate X. FOIL - correct answer First, Outer, Inner, Last The steps to follow when who multiply factors to form a quadratic equation. Absolute Value - correct answer Distance between the number and 0, always expressed as positive: |-4| =4 , |5|=5 Set - correct answer A collection of distinct elements, usually having specific common properties. Reciprocal - correct answer Two numbers whose product is 1. The reciprocal of x is 1/x. The reciprocal of 3/2 is 2/3. MADSPM - correct answer The rules for exponents when the bases are the same; to multiply, Add the exponents, to Divide, Subtract the exponents; to raise a power to another power, Multiply the exponents. Consecutive - correct answer In order Consecutive prime numbers: 2,3,5.7 Consecutive even integers: 2,4,6,8 Ra - correct answer Distance = rate x time amount= rate x time Pythagorean Triplets - correct answer 3:4:5, 6:8:10, 5:12:13, 7:24:25 Linear Equation - correct answer An algebraic equation in which each term is a constant or the product of a constant and a variable to the first power. 2x=6 y=4x-1 Extraneous Solution - correct answer A solution that arises from solving an equation that does not work when plugged back into the equation. Solutions to a system of equations - correct answer The point(s) of intersection shared by all equations in the system. Odd Function - correct answer A function in with rotational symmetry about the origin in which f(-x) = -f(x) Line Segment - correct answer Part of a line, with two distinct endpoints. Quadratic Equation - correct answer An algebraic equation which can be written in the form. ax^2 +bx +c= 0 2x^2 + 4x -6= 0 x^2 -3x= 2 Transformation of graphs (flipped) - correct answer -f (x) is flipped upside down the x-axis. f(-x) is flipped left-right over the y-axis. Percent Change - correct answer A measure of how much a value has changed relative to its original size, defined as difference/ origin x 100 Ratio - correct answer The relationship between two values, expressed as a to b, a:b or a/b Geometric Sequence - correct answer A list of numbers with a constant ratio between terms 2,4,8,16,32,34 Growth and Decay Formulas - correct answer When the growth is a percent of the population, final amount= original amount (1 plus or minus rate) ^ number of changes When the growth is a multiple of the population, final amount = original amount (multiplier) number of changes. Arithmetic Sequence - correct answer A list of numbers with a constant difference between terms: 2,5,8,11,15... Line - correct answer A line goes on in both directions without end. SOHCAHTOA - correct answer sin= opp/hyp cos= adj/hyp tan=opp/ adj Geometry Basic Approach - correct answer 1. Draw a figure if one is not provided. 2. Label all information from the question on the figure. 3. write the formula on the paper. 4. Ballpark if possible. Line or curve of Best Fit - correct answer The equation that best represents data on a graph. Positive - correct answer Any number greater than 0. ie) 5,23, 0.25 Radius - correct answer A line segment that joins the center of a circle with any point on the circumference; half the diameter. Right Triangle - correct answer A triangle with one angle measuring 90 degrees. Congruent - correct answer Having the same shape and size. In congruent figures, corresponding sides and angles are equal. Isosceles Triangle - correct answer A triangle with two equal sides and two equal angles. Number of degrees in a circle - correct answer 360 Product of Roots - correct answer c/a Sum of roots - correct answer -b/a