Grade. 8 th Grade SM C Curriculum

Transcription

1 OREGON FOCUS ON MATH OAKS HOT TOPICS TEST PREPARATION WORKBOOK th Grade TO BE USED AS A SUPPLEMENT FOR THE OREGON FOCUS ON MATH MIDDLE SCHOOL CURRICULUM FOR THE SCHOOL YEARS WHEN THE 2007 MATH CORE STANDARDS ARE ASSESSED ON THE OAKS ASSESSMENT. 8 th Grade 20 SM C Curriculum

2 8 th Grade OAKS Test Prep Pre-Test Name Period Date. What is the solution of the equation below? 2 ( x + 7) = 44 A. 5 B. 27 C. 35 D How would you describe the correlation in the following scatter plot? 5. What are the medians of the following data sets? Set : 4, 24, 25, 9, 8 Set 2: 48, 52, 57, 59, 60, 60 A. Set = 9; Set 2 = 58 B. Set = 25; Set 2 = 58 C. Set = 20; Set 2 = 56 D. Set = 25; Set 2 = What is the name of the special angle pair relationship between 2 and 7? A. Normal correlation B. Positive correlation C. Negative correlation D. No correlation 3. What is the approximate value of 53 to the nearest tenth? A. 6.9 B. 7.3 C D What is the missing value in the inputoutput table representing the equation y = 5 + 4x? Input Output A. 2 x y B C. 3 9 D A. alternate interior angles B. alternate exterior angles C. corresponding angles D. same-side interior angles 7. Is (, 4) the solution of the system of equations shown below? 5x + y = 9 2x y = 2 A. no B. yes C. Not enough information. D. They are the same line. 2

3 8. If 54 drivers typically drive down this road each day, how many would you expect to be traveling at least 55 miles per hour using the graph below?. What, if anything, is wrong with the following line of best fit? A. 44 B. 22 C. 9 D. 5 A. The line does not follow the direction of the data well B. The line is above almost all of the data points C. The line is below almost all of the data points D. Nothing is wrong. The line is a good fit for the data 9. A child s toy is shaped like an isosceles trapezoid. The base angles of the toy are 84º each. What is the measure of one of the top angles of the toy? 2. What is the value of x? 36º A. 84º B. 96º C. 92º D. 276º A. x = 4 B. x = 9 C. x = 36 D. x = 44 4xº 0. Which of the following equations is NOT a linear function? A. y = 2 4x B. y = 5(2x + ) 3 C. y = x 2 + D. y = x What is the slope of the line that goes through the points (3, 2) and (6, 6)? 4 A. 3 3 B. 4 C. 4 3 D

4 4. What is the missing number in the data set? The numbers are not in order. 7. What is the ratio of drivers who drove less than 50 miles per hour to total drivers? 20, 32, 27, 24, 8, Median = 22 Range = 9 A. 37 B. 7 C. 3 D What is the value of x? Round to the nearest tenth, if necessary. 4 A. 2 : 7 B. 5 : 4 C. 2 : 5 D. 5 : x 8. What is the value of x? A. x 5.5 B. x 7.9 C. x 0.8 D. x.2 0 x Five friends went downtown to a restaurant. Each friend bought a bus ticket for $4 and ordered the same meal. The total cost of the evening for all five was $60. If x represents the cost of an individual meal, which equation represents this situation? A B. 4 C. 8 D. 0 A. 5 ( x + 4) = 60 B. 4 ( x + 5) = 60 C. 60 ( x + 5) = 3 D = x 3

5 8 th Grade OAKS Test Prep Pre-Test Analysis Sheet Name Period Date Analyze how you performed in each of the three strands on this math test. Strand 8. Topic: Linear Equations 40% of the OAKS Test Circle the question numbers you got CORRECT. Total Correct: / GOAL = minimum of 4/6 Strand 8.2 Topic: Data Analysis 30% of the OAKS Test Circle the question numbers you got CORRECT. Total Correct: / GOAL = minimum of 4/6 Strand 8.3 Topic: Lines & Angles 30% of the OAKS Test Circle the question numbers you got CORRECT Total Correct: /6 GOAL = minimum of 4/6 Answer the questions on the next page using your strand analysis 4

6 Strand Analysis Continued. My best strand is: I think this is because 2. My weakest strand is: I think this is because 3. My plan to increase my score includes doing the following 5

7 multiple choice test taking strategies #: Just do it I know how to do the problem. I can solve the problem to find the answer listed. #2: work Backwards I can use the choices given and work backwards. #3: educated guess I am not sure how to do the problem. I can eliminate at least one choice that is not correct before I guess. (A) (B) (C) (D) #4: pure guess I have no idea how to do the problem. I have to guess. 6

8 8. NOTES ORGANIZER SOLVING EQUATIONS GRAPHING LINEAR EQUATIONS WRITING LINEAR EQUATIONS SYSTEMS OF EQUATIONS 7

9 8. PRACTICE For each problem, list the strategy you used. Show all work in the space provided. If you used an educated guess, explain how you chose your answer. STRATEGIES REVISITED Strategy # Just do it Strategy #2 Work backwards Strategy #3 Educated guess Strategy #4 Pure guess. What is the value of k in the equation below? 5 k + 7 = k + A. k = 2 B. k = 2 3 C. k = D. k = 3 2. What is the solution of the system of equations represented by the tables? x y x y A. (, 5) B. (, 5) C. (3, ) D. (4, 4) 3. What is the y-intercept of the line shown below? A. 5 B. 3 2 D. 2 C. 3 8

10 4. Which of the following linear equations has a positive y- intercept and a negative slope? A. y = 6x 4 B. y = 5 + 2x C. y = 3x 5 D. y = x Which linear equation below has a y-intercept of 2 and a slope equal to 3? A. y = 2x 3 B. y = 2 x + 3 C. y = x D. y = x 2 6. What is the value of x in the equation below? 3( x 5) + 0 = 5 A. x = 5 B. x = 4.5 C. x = 3 D. x = 0 7. What is the slope-intercept equation for the graph shown below? A. y = 2 x + 2 B. y = x C. y = 2 x + 2 D. y = 2x 8. What is the slope of the line shown below? A. 4 B. 4 C. 4 D. 4 9

11 9. What is the slope-intercept equation of the line that goes through the points (6, 2) and (9, 8)? A. y = 2 x B. y = 2 x + 2 C. y = 2x 0 D. y = 6 x Paula starts with $0 and saves $8 each week. Joe has $86 and saves $2 each week. At what week will both have the same amount of money? A. Week 5 B. Week 6 C. Week 7 D. Week 8. A bike rental costs $2 per full hour. The rental company also charges a one-time fee for the rental. John rented a bike for 4 hours and was charged $56. Which linear equation below represents the equation that could be used to calculate the cost, y, for an x hour rental? A. y = 2 x + 56 B. y = 2 x + 8 C. y = 4 x + 2 D. y = 56 x Emily collects old pennies. She currently has 4 pennies in her collection. Each trip to the coin shop she brings back 4 more. After how many trips to the coin shop will Emily have more than 70 pennies in her collection? A. 7 trips B. 8 trips C. 9 trips D. 0 trips 3. How many solutions does the system of equations shown below have? y = 4 x + 3 y = x A. none B. one C. two D. infinite 0

12 4. What is the solution of the system of equations shown on the graph? A. ( 2, 3) B. ( 3, 2) C. ( 2, 3) D. ( 3, 2) 5. Jenny is on the 2 th floor of her building. Every minute she climbs two more floors. What is the linear equation that represents this situation? A. y = 2 2x B. y = 2x 2 C. y = 2 x + 2 D. y = 2 + 2x

13 8.2 NOTES ORGANIZER CENTRAL TENDENCIES ANALYZING DATA SETS ONE-VARIABLE DATA DISPLAYS TWO-VARIABLE DATA DISPLAYS 2

14 8.2 PRACTICE For each problem, list the strategy you used. Show all work in the space provided. If you used an educated guess, explain how you chose your answer. STRATEGIES REVISITED Strategy # Just do it Strategy #2 Work backwards Strategy #3 Educated guess Strategy #4 Pure guess. In which interval would the median value be found? A B C D. There is not enough information to know 2. Which of the following data sets have no mode? I. 7, 9, 28, 28, 7, 9 II. 25, 8, 26, 39, 25, 4, 8 III. 4, 29, 32, 6, 45, 20 A. Data set I B. Data set II C. Data set I and III D. Data set I, II, and III 3. The stem-and-leaf plot shows the hourly salaries of some randomly selected workers at a company. What percent of workers earned less than $9 per hour? A. 83% B. 75% C. 60% D. 25% Key: 7 80 = $7.80 3

15 4. Lumi wants to create a graph to show the percentage of students participating in each extra-curricular activity at her school. Which type of graph should she use to display her data? A. Pie chart B. Histogram C. Box-and-whisker plot D. Scatter plot 5. Consider the following data set:, 27, 3, 35, 36, 36 If each value is increased by 5, which of the following measures will not change? A. the mean B. the range C. the mode D. None would change 6. Based on this line of best fit, what is the approximate value of x when y is equal to 6? A. 9 B. C. 2 D The box-and-whisker plot below shows the number of CDs purchased by teenagers in the last year. Which of the following statements best describes the data? A. 75% of students bought at least CD in the last year. B. Half of students bought no more than 5 CDs in the last year. C. The range of the middle 50% of the data is 5. D. 50% of students bought between 5 and 2 CDs. 4

16 8. Rudy found the weight of the students on the wrestling team. The five-number summary of their weights was: 2 ~ 35 ~ 75 ~ 95 ~ 240 What percent of the wrestlers weighed at least 35 pounds? A. 75% B. 60% C. 50% D. 25% 9. Alicia kept track of how long it took her to drive to work each day of the week. Her times in minutes were: 25, 2, 9, 26, 7. What was the range of her times? A. 5 minutes B. 7 minutes C. 8 minutes D. 9 minutes 0. Vickie wants to collect data about teenagers favorite local restaurant. Which would be the best way to get her data? A. Have students vote at a ballot box in the main office B. Ask her friends what their favorite restaurant is C. Randomly survey 2 students from each table at lunch D. Survey students from her school that are at the local pizza restaurant. How many drivers were going over 50 miles per hour? A. 2 B. 4 C. 9 D When is the mode often the best measure of center to use to summarize a data set? A. When the same number shows up several times B. When there are very few number in the data set C. When there are outliers D. When there are no outliers 5

17 3. What are the missing numbers in the data set? Assume the numbers are in increasing order., 43,, 56, 58, 58 Mean = 50 Range = 22 A. 22, 36 B. 42, 50 C. 36, 44 D. 36, Haleb collected data on the heights of students in her preschool class and their weights. What type of correlation would you expect the data to have? A. Even correlation B. Positive correlation C. Negative correlation D. No correlation 5. Michelle sells flowers for weddings. The price she charges (P) can be approximated by the equation: P = d, where d represents how many dozens of flowers are ordered. Ann paid Michelle $445 for the flowers at her wedding. How many dozens of flowers did Ann order? A. 38 B. 37 C. 35 D. 25 6

18 8.3 NOTES ORGANIZER ANGLE RELATIONSHIPS ANGLES IN TRIANGLES & QUADRILATERALS SQUARE ROOTS PYTHAGOREAN THEOREM 7

19 8.3 PRACTICE For each problem, list the strategy you used. Show all work in the space provided. If you used an educated guess, explain how you chose your answer. STRATEGIES REVISITED Strategy # Just do it Strategy #2 Work backwards Strategy #3 Educated guess Strategy #4 Pure guess. Tom has a square living room with an area of 200 square feet. What is the length of each side of Tom s living room? Round to the nearest tenth, if necessary. A. 4.5 feet B. 0.7 feet C. 4. feet D. 50 feet 2. What is the value of x? xº (3x + )º A. x = 45 B. x = 30 C. x = 22.5 D. x =.25 79º 3. What is the name of the special angle pair relationship between 3 and 4? A. alternate interior angles B. alternate exterior angles C. corresponding angles D. same-side interior angles 8

20 4. The measure of H is 34º. What is the measure of its complement? A. 56º B. 46º C. 56º D. 46º 5. What two integers does 80 fall between? A. 7 and 8 B. 8 and 9 C. 39 and 4 D. 79 and 8 6. What is the length of c on the graph below (round to the nearest tenth, if necessary)? A. 58 B. 0 C. 8.2 D. 7.6 c Answer: B 7. What is the value of x? 9xº 08º A. x = 8 B. x = 2 C. x = 99 D. x = What is the length of the hypotenuse in the triangle? 0 A. 4 B. 22 C. 26 D

21 9. What is the value of a? 58º aº 49º A. a = 49 B. a = 64 C. a = 73 D. a = What is the value of x? A. x = 25 B. x = 3 C. x = 56 D. x = (2x 6). Misty flew north 800 miles. She changed planes and then flew east 000 miles. How far away is Misty from home? Round to the nearest mile. A. 28 miles B. 600 miles C. 400 miles D. 200 miles 2. What is the value of x? A. x = 20 B. x = 30 C. x = 60 D. x = 78 2xº 3. Given two parallel lines and a transversal, which special angle pair IS NOT congruent? A. Alternate exterior angles B. Alternate interior angles C. Corresponding angles D. Same-side interior angles 20

22 4. What is the value of x? (2x 8)º (x + 0)º (3x + 2)º A B. 5.2 C D A rectangular prism garbage can is 2 inches long, 0 inches wide and 28 inches tall. To the nearest tenth, what is the approximate length of its longest diagonal? A. 5.6 inches B inches C inches D. 32. inches 2

23 8 th Grade OAKS Test Prep Post-Test Name Period Date. What is the solution of the equation below? 2 h 5 = Based on this line of best fit, what is the approximate value of y when x is equal to 5? A. h = 9.5 B. h = 4.5 C. h = 5.5 D. h = Bobby bought five pairs of socks at the store. They cost $4.50, $7.50, $4.50, $4, $7. What was the mean price of the socks? A. $4.50 B. $5 C. $5.50 D. $27.50 A. 2 B. 8 C. 9 D What is the value of x? 6. What is the value of x? 5º (5x + 8)º 58º xº A. x = 39 B. x = 5 C. x = 90 D. x = 4 A. x = 0 B. x =.6 C. x = 3.2 D. x = What is the y-intercept of the linear relationship shown in the table below? 7. Which of the following linear equations has the steepest slope? A. 5 B. 0 C..5 D. 7 x y A. y = 3x 5 B. y = 5 x + 5 C. y = x 2 3 D. y = x

24 8. What is the median of the data set displayed in the stem-and-leaf plot? A B C D A square blanket has an area of 9 square feet. What is the length of one side of the blanket? A. 8feet B. 8 feet C. 4.5 feet D. 3 feet 0. What is the solution of the system of equations given below? Use the coordinate plane if necessary. y = 2 x + 6 y = x + 3 A. (0, 3) B. (5, 6) C. (6, 3) D. (2, 5) Key: 23 = 2.3. Wesley collected data about the number of hours of sleep that students at his school get and their percentage grades in math class. Which type of graph should he use to summarize his data? A. Scatter plot B. Histogram C. Box-and-whisker plot D. Pie chart 2. What is the value of x? A. 70 B. 5 C. 4 D Ryan is thinking of a number. Six less than four times the number is fourteen. What is the number? A. 24 B. 4 C. 5 D On the first four tests of the semester, Wendy scored 52%, 65%, 68%, and 62%. On her fifth test, Wendy scored 00%. Which will be affected the most: her mean test score or her median test score? A. The mean will change the most. B. The median will change the most. C. The mean and median will change the same amount. D. There is not enough information to tell. 5. Which of the following are not the side lengths of a right triangle? A. 3, 4, 5 B. 5, 2, 3 C. 7, 24, 25 D. 9, 4, 26 (5x + 5)º 0º 23

25 6. Which linear equation represents the recursive routine below? y-intercept: +54 Slope: 3 8. What is the value of x? 68º A. y = 5x 3 B. y = 5 3x C. y = 3x 5 D. y = 3 5x 7. What percent of students spent at least $350 on rent based on the box plot below? A. x = 62 B. x = 8.5 C. x = 5.5 D. x = 4.5 (4x + 6)º A. 25% B. 50% C. 75% D. 80% 24

26 8 th Grade OAKS Test Prep Post-Test Analysis Sheet Name Period Date Analyze how you performed in each of the three strands on this math test. Strand 8. Topic: Linear Equations 40% of the OAKS Test Circle the question numbers you got CORRECT. Total Correct: / GOAL = minimum of 4/6 Strand 8.2 Topic: Data Analysis 30% of the OAKS Test Circle the question numbers you got CORRECT. Total Correct: / GOAL = minimum of 4/6 Strand 8.3 Topic: Lines & Angles 30% of the OAKS Test Circle the question numbers you got CORRECT Total Correct: /6 GOAL = minimum of 4/6 25