CBEST math Exam Questions with Correct Answers

CBEST math Exam Questions with Correct Answers To Pass you need: - Answer-at least a 37 in a section (average of 41) and an overall score of 123 Find LCM - Answer-list multiples of each number--the first multiple that is in both lists is the LCM Find LCD by GCF - Answer-List factors of both numbers then divide that by one of the numbers then take the quotient and multiply by the other number Convert a decimal to a fraction - Answer-7.064= 7064/10^3 =7064/1000= 883/125 The ratio of girls to boys in a class is 3:2 if their are 10 boys how do you find the number of girls? - Answer-3/2x10=15 If their are 25 students and 3:2 girls to boys find the number of girls and boys in the class. - Answer-3x girls +2x boys =25 5x=25 x=5 3x Girls 3(5)=15 2xBoys 2(5)=10 15+10=25 Cross product rule (proportions) - Answer-The product of extremes is equal to the product of the means a/b=c/d or ad=bc In a drawing a post is 2.2 inches tall and each inch represents 6.2 feet, how tall is the lamppost? - Answer-X= actual height in feet shown by: X feet/ 2.2 inches = 6.2 feet /1 inch solve: 2.2(6.2)=13.64 feet Mean - Answer-The average of a set of numbers Median - Answer-Middle number How to find mean - Answer-Sum of numbers divided by count of numbers in set How to find median - Answer-List number greatest to least then find the number in the middle, if two find their average. Mode of a set of numbers - Answer-The number that appears most frequently in a set Range of a set - Answer-The difference between the largest and smallest number in the set. deviation of the score of a set - Answer-Score (X) from mean of set (x) is X-x standard deviation - Answer-How far a score is from the mean Calculating standard Deviation - Answer-Find the deviations of each score then square the deviations, after which the mean of the squares is calculated. The standard deviation is the the square root of the average mean. How would you represent probability? - Answer-# of events / # of possible events P(E)= n(E)/n(S) Addition rule of probability - Answer-Either event can happen P(E or F)= P(E)+P(F)-P(E and F both happening) Complementary rule of probability - Answer-If E is an event then the chance of E not happening is P( not E)= 1 -P(E). Always less then 1. Multiplication rule of Probability - Answer-Event E happens then another event F follows it is represented as P(E)*P(F) Multiplication rule of counting - Answer-If event E can occur in m ways and another event F occurs after E in n ways then the number of ways that E followed by F can occur is m*n (m times n). Distributive Property - Answer-a(b + c) = ab + ac How to solve a Linear equation - Answer-1) eliminate the parentheses by distributing 2) islolate the variable (group all terms with variables on one side and all constants on the other) 3) combination me terms on each side 4) divide both sides by the coefficient of the variable 5) check answer by substitution To solve a linear inequality - Answer-1) 1) eliminate the parentheses by distributing 2) islolate the variable (group all terms with variables on one side and all constants on the other) 3) combination me terms on each side 4) divide both sides by the coefficient of the variable: if dividing by a negative number the sign changes from greater than to less than or vice versa. 5) check answer by substitution Addition words - Answer-More, increased, by, sum, total Subtraction words - Answer-Less, fewer, difference Multiplication words - Answer-Of, product, times Division words - Answer-quotient, into, divided by, out of, per, ratio Relation of Fahrenheit to Celsius - Answer-F=9/5C+32