ALGEBRA 1 Ch 10 Closure Solving Comple Equations Name: Two-Way Tables: A simple random sample of adults in a metropolitan area was selected and a survey was administered to determine the relationship between age groups and education level. The results are recorded in the following two-way table: Age Groups 5-34 35-54 55+ TOTAL < High School 5 9 16 30 High School Diploma 14 4 18 56 1 to 3 Years of College 1 0 10 4 4+ Years of College 10 0 8 38 TOTAL 41 73 5 166 Answer the following questions using a fraction and a percent (round to the nearest tenth of a percent). 1. What is the probability that a randomly selected adult is in the age group of 35-54?. What is the probability that a randomly selected adult who is 55+ has 4+ years of college? 3. What is the probability that a randomly selected adult has any college education? 4. What is the probability that a randomly selected adult from this sample is both in the age group of 5-34 AND has 1 to 3 years of college? 5. What is the probability that a randomly selected adult from this sample is either in the age group of 5-34 OR has 1 to 3 years of college OR has both? 6. Create a relative frequency table for the data. Include fractions AND percents. Age Groups 5-34 35-54 55+ < High School High School Diploma 1 to 3 Years of College 4+ Years of College 7. Is there an association between age group and education level? Eplain your response.
Solve the following equations by busting fractions. Be sure to check your solution(s). 8. 7 9. 6 6 6 4 3 3 10. 3 3 8 Solve the following equations by rewriting, undoing or looking inside. Check your solution(s). 11. 0.1 7.5 0. 3 1. 5 15 150 0
13. 5 1 11 14. 3 11 3 7 1 15. 81 16. Determine the intercepts for the following. Check by graphing. 17. y 3 10 18. 3 y 1
Determine the intersection points algebraically for the following. Check by graphing. y 8 y 8 19. 0. 3y 18 y 3 y y
Solve and graph the following inequalities: 1. 3 5. 1 9 10 9 8 7 6 5 4 3 1 0 1 3 4 5 6 7 8 9 10 10 9 8 7 6 5 4 3 1 0 1 3 4 5 6 7 8 9 10 3. 3 18 0 4. 3 1 10 9 8 7 6 5 4 3 1 0 1 3 4 5 6 7 8 9 10 10 9 8 7 6 5 4 3 1 0 1 3 4 5 6 7 8 9 10
absolute value imaginary numbers Quadratic Formula association inequality real numbers base integers rational numbers boundary point intercepts relative frequency table categorical data intersection solution eponent irrational numbers standard form factored form perfect square form two-way table fraction busters quadratic equation 1. Data that can be put into categories like gender or eye color.. A table that organizes data about two different categorical variables; one of the variables is in columns, the other in rows. 3. A table that shows what percent of one category falls within another category; this table is used to determine association between the variables. 4. The relationship between two or more variables. It can be described by its direction, strength, form and outliers. 5. Any number that can be placed somewhere on a number line. 6. A set of Real numbers that includes positives and negatives but no fractional values. 7. A number that can be written as a fraction; 0.75 can be written as ¾. 8. A set of Real numbers that cannot be written as a fraction such as π. 9. A non-real number used to take the square root of a negative number; indicated by i. 10. When writing an eponential epression, this is the number that is raised to a power. 11. A number that indicates repeated multiplication. 1. The distance between a number and 0. This value is always positive. 13. An statement that shows one side is either greater than or less than the other side. 14. When solving an inequality with one variable, this is the point that is indicated on a number line with an open or closed dot; shade to one side or the other of this point. 15. A number or numbers that will make an equation or inequality true. 16. A method used to get rid of fractions; multiply everything by the common denominator. 17. Points where a graph crosses either the -ais or the y-ais. 18. Points where two graphs cross each other. 19. An equation that will result in a parabola; it has an in it. 0. A way of writing a quadratic equation that lists the term first, the term net and the constant last. 1. A way of writing an equation that can look like GCF( base )( height ).. A way of writing a quadratic equation that allows you to quickly identify the verte; to solve this form, use a square root and an absolute value. 3. A way of solving a quadratic equation; the opposite of b plus or minus the square root of b minus 4ac all over a.