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MATH 100 Exam Test | Current Edition Solutions Associative Property of Addition - answer - Changing the grouping of three or more addends does not change the sum. 8+(2+6)=(8+2)+6 Associative Property of Multiplication - answer - Changing the grouping of three or more factors does not change the product. 4x(6x5) = (4x6)x5 Identity Property of Multiplication - answer - The product of any number and 1 is that number. a x 1 = a Zero Property of Multiplication - answer - The product of any number and zero is zero; 4 x 0 = 0 Identity Property of Addition - answer - If you add zero to a number, the sum is the same as that number. 3+0=3 Commutative Property of Multiplication - answer - ab = ba , the order multiplied does not change the product Commutative Property of Addition - answer - a + b = b + a , the order in which we add two numbers does not change the sum Inverse Property of Addition - answer - the sum of a number and its opposite is 0 , -x+x =0 Inverse Property of Multiplication - answer - a(1/a)=1 , x × ¹/x= 1 Distributive Property - answer - a(b + c) = ab + ac Linear equation standard form - answer - Ax+By=C, x+y=b slope-intercept form - answer - y=mx+b, where m is the slope and b is the y-intercept of the line. point slope form - answer - y-y₁=m(x-x₁) Mode - answer - the most frequently occurring score(s) in a distribution Median - answer - the middle score in a distribution; half the scores are above it and half are below it mean - answer - the arithmetic average of a distribution, obtained by adding the scores and then dividing by the number of scores Area of a trapezoid - answer - A=1/2(b1+b2)h Area of a triangle - answer - A=1/2bh Pathagorean Theorem - answer - a²+b²=c² Area of a square/rectangle/rhombus - answer - (b x h)² Area of a circle - answer - A=πr² Circumference of a circle - answer - 2πr or πd Perimiter of a square/rectangle/rhombus - answer - 2(bxh) Volume square/rectangle/rhombus - answer - Lxwxh All volume - answer - Bh (B=area of base) Outliers - answer - extreme values that don't appear to belong with the rest of the data When the data set has outliers - answer - Fundamental Counting Principle - answer - Uses multiplication of the number of ways each event in an experiment can occur to find the number of possible outcomes in a sample space. set - answer - A group of numbers in a collected data measures of central tendency - answer - mean, median, mode. Ways of calculating averages. To summarize all the values of a data set Range - answer - the difference between the highest and lowest scores in a distribution Order of Operations - answer - Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction (PEMDAS) percentile in a list - answer - n•%/100 line plot - answer - A method of visually displaying a distribution of data values where each data value is shown as a dot or mark above a number line. Also known as a dot plot. standard form of a linear equation - answer - Ax+By=C box plot - answer - A graph that displays the highest and lowest quarters of data as whiskers, the middle two quarters of the data as a box, and the median Scatterplot - answer - a graphed cluster of dots, each of which represents the values of two variables Quartile - answer - A division of the total into four intervals, each one representing one-fourth of the total. Probability - answer - A number that describes how likely it is that an event will occur. Probability = number of favorable outcomes/number of possible outcomes compliment of an event - answer - all of the outcomes NOT in an event tree diagram (probability) - answer - a diagram used to show the total number of possible outcomes in an experiment Simple Interest Formula - answer - I=PRT (Interest = Principal x Rate x Time) = interesting people, refuse tips Volume of a sphere - answer - V=4/3πr³ Volume of a rectangle - answer - V=lwh