a. Explain whether George s line of fit is reasonable.

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1 1 Algebra I Chapter 11 Test Review Standards/Goals: A.REI.10.: I can identify patterns that describe linear functions. o I can distinguish between dependent and independent variables. F.IF.3.: I can recognize an arithmetic sequence. G.1.c.: I can identify arithmetic sequences and patterns in a set of data. F.BF.2.: I can write formulas for both arithmetic and geometric sequences recursively and using an explicit formula. S.ID.1./ G.1.b.: I can interpret data from a graph in order to make decisions and predictions. S.ID.1./ G.1.h.: I can identify the most efficient way to display data. S.ID.1./ G.1.a.: I can identify and calculate the mean, median, mode, and range of a set of data. S.ID.2./G.1.b.: I can interpret data from a box and whisker plot. o I can determine percentile rank for data values in a data set. S.CP.1.: I can describe events as subsets of a sample space. o I can determine complements of events. G.1.e.: I can find the probability of a simple event. G.1.f.: I can distinguish between independent and dependent events. o I can distinguish between mutually exclusive & non mutually exclusive events. 8.SP.1.: I can construct and interpret scatter plots, looking for patterns of association, clusters of data, and be able to identify linear and nonlinear associations. 8.SP.2: I can know that straight lines (lines of best fit) are widely used to model relationships between two quantitative variables. 8.SP.3: I can use the equation of a linear model to solve problems, using both slope and the intercept. 8.SP.4.: I can understand that patterns of association can also be seen in categorical data. MULTIPLE CHOICE: #1. Which relationship exhibits a pattern of exponential growth? a. The amount saved in equal to the difference in amount of profit and amount spent. b. The amount in an account results from 10% interest on $1,000 compounded annually for 5 years. c. The value of an old coin increases by $80 each year. d. Income is equal to the square of the number of toys sold each month. #2. A total of 140 children participated in a spelling competition. This graph shows the relation between the number of children, n who spelled words correctly and the number of letters, s in the word spelled. Which equation most closely approximates the line of best fit? a. n = -11s b. n = -20s c. n = 11s d. n = 20s + 165

2 2 #3. A teacher plotted the heights and weights of 13 students in this graph. Based on the line of best fit, what is a reasonable estimate of the weight of a student, in kilograms, whose height is 160 cm? Based on the line of best fit, what is a reasonable estimate of the weight of a student, in kilograms, whose height is 160 cm? a. 40 b. 53 c. 59 d. 70 #4. This scatterplot shows the relationship between the number of hours students studied for a final algebra examination and each student s score on the examination. Each point represent one student. George approximates the data and draws a line of fit through (1, 52) and (10, 86). a. Explain whether George s line of fit is reasonable. b. Using a more reasonable line of fit, predict the examination score for a student who studied for 7 hours. Explain how you found your answers.

3 3 #5. Consider the boxplots below. a. What is the FIVE NUMBER SUMMARY for 1 st period, approximately? b. What is the IQR (Interquartile Range) for 6 th period? #6. Mike calculated the mean number of pages in 10 books as 336. He later realized that he used 290 pages for a book that actually had 265 pages. What is the correct mean number of pages in the 10 books? #7. These are George s scores on a series of tests: 78, 89, 92, 86 and 75. If she scores 98 on the next test, what will happen to the mean/average and the MEDIAN of the scores?

4 4 #8. Joe has a bag of identical sized marbles. He has 20 red marbles, 40 blue marbles, and 30 green marbles. a. If he randomly draws 1 marble from the bag, what is the probability it will be blue? b. If he randomly draws 2 marbles from the bag, what is the probability that they will BOTH be red? c. If he randomly draws 2 marbles from the bag, replaces the first marble, what is the probability that the will BOTH be red? #9. Draw three scatter plots below. The first one should show a strong positive correlation, the second one should show a strong negative correlation, and the third one should show no correlation. #10. Consider the test scores below: 88, 78, 90, 104, 78, 65, 101, 78, 88, 45, 97, 92, 84, and 78. a. What is the mode score? b. What is the range of the scores?

5 5 #11. If the weather forecast says there is a 70% chance of snow today, what is the chance of having NO snow? #12. Consider the following: a. What are the next two terms in the following arithmetic sequence? 5, 12, 19,. b. What is the common difference in the sequence described above? c. Write the explicit formula for the sequence. #13. Consider the following: a. What are the next two terms in the following geometric sequence? 3, -9, 27,. b. What is the common ratio in the sequence described above? c. Write the explicit formula for the sequence Consider the following sequences. Determine if it is arithmetic or geometric. Write an explicit formula. Determine the terms that are given: #14. -7, -4, -1, 2,... Find the 25 th and 100 th terms. #15. 25, 40, 55, 70, Find the 100 th term.. #16. 2, 6, 18, Find the 15 th term.

6 6 #17. What is the 10 th term in the sequence that is described by the following formula? A(n) = 8 (n + 3)*6. #18. A shoe store is having a contest. Each day, one out of every fifty customers will win a 75% off coupon on any pair of shoes. a. What is the probability of a customer of winning? b. If the shoe store has 685 customers on Wednesday, how many winners should the store manager expect? c. What is the probability of a customer of losing? d. If the shoe store has 685 customers on Wednesday, how many losers should the store manager expect? MULTIPLE CHOICE: #19. If I wanted to determine whether there is an association between weight and speed of a car, which type of graph would show this relationship? a. Box and whisker plot b. Histogram c. Stem and leaf plot d. Scatter plot #20. A dart has it random place on this dartboard. What is the probability that it does NOT hit Region A or C?

COMMON CORE STATE STANDARDS TO BOOK CORRELATION

COMMON CORE STATE STANDARDS TO BOOK CORRELATION Conceptual Category: Number and Quantity Domain: The Real Number System After a standard is introduced, it is revisited many times in subsequent activities,