TEST NAME: CMS Foundations of Math I Unit 15 District Benchmark TEST ID: 563310 GRADE: 08 09 SUBJECT: Mathematics TEST CATEGORY: School Assessment CMS Foundations of Math I - Unit 1-5 District Benchmark Page 1 of 12 05/07/15, CMS Foundations of Math I Unit 15 District Benchmark Student: Class: Date: 1. Simplify: 6 + 3(2 + 4) – 23 ÷ 8 2. Evaluate the expression if a = 2, b = 8, c = 3, and d = 1 3. If x = 9 and y = 7, then find the value of 3x +xy3 4. Which expression represents the sum of (2x – 5y) and (x + y)? A. 3x 4y B. 3x 6y C. x 4y D. x 6u CMS Foundations of Math I - Unit 1-5 District Benchmark Page 2 of 12 5. Which expression is equivalent to ? Assume the denominator does not equal zero. A. B. C. D. 6. Simplify the expression below. 3xy(9xy + 14x) A. B. C. D. 7. What is divided by 3m? A. B. C. D. CMS Foundations of Math I - Unit 1-5 District Benchmark Page 3 of 12 Use the GCF of the terms to factor the polynomial. 8. A. B. C. D. Solve: 3(x + 5) = 2x + 35 9. Step 1: 3x + 15 = 2x + 35 Step 2: 5x + 15 = 35 Step 3: 5x = 20 Step 4: x = 4 Which is the first incorrect step in the solution show above? A. Step 1 B. Step 2 C. Step 3 D. Step 4 10. Beth is two years older than Julio. Gerald is twice as old as Beth. Debra is twice as old as Gerald. The sum of their ages is 38. How old is Beth? A. 3 B. 5 C. 6 D. 8 CMS Foundations of Math I - Unit 1-5 District Benchmark Page 4 of 12 11. The table below shows the models for the cost, in dollars, for renting a car for x miles from two different rental companies. At what number of miles will the cost be the same? Company a Company b 1.25x + 50 1.3x + 40 12. Suppose the function represents the monthly phone bill, in dollars, for x minutes of calls. Courtney has $25 now. How many more dollars does Courtney need for 500 minutes of phone calls? 13. Which of the following represents the data set: 17 22 18 33 14 36 39 41 25 31 18 19 16 21 21 A. B. C. D. None of the above CMS Foundations of Math I - Unit 1-5 District Benchmark Page 5 of 12 14. The twoway table shows the places that males and females volunteered in the past month. How many total females were included in the survey? A. 14 B. 17 C. 21 D. 52 15. Rosario and Enrique are in the same mathematics class. On the first five tests, Rosario received scores of 78, 77, 64, 86, and 70. Enrique received scores of 90, 61, 79, 73, and 87. How much higher was Enrique's average than Rosario's average? A. 2 points B. 3 points C. 4 points D. 15 points CMS Foundations of Math I - Unit 1-5 District Benchmark Page 6 of 12 16. The twoway table below shows the number of hours students studied and whether they studied independently or with a study group What is the relative frequency of students that studied independently for more than two hours? A. 0.11 B. 0.33 C. 0.25 D. 0.04 17. What is the difference in the median of Manufacturer A and B? A. 1 B. 9 C. 2.5 D. 1.5 CMS Foundations of Math I - Unit 1-5 District Benchmark Page 7 of 12 18. The following box and whisker plot represent the number of times students went to Carowinds over the summer. What percent of students attended Carowinds 38 times or less this summer? A. 25% B. 50% C. 75% D. 100% 19. From January 3 to January 7, Buffalo recorded the following daily high temperatures: 5°, 7°, 6°, 5°, and 7°. Which statement about the temperatures is true? A. mean < median B. mean = mode C. median = mode D. mean = median CMS Foundations of Math I - Unit 1-5 District Benchmark Page 8 of 12 20. The following relative frequency table shows the students that own electronic devices. If 300 people participated in the survey, how many people had an MP3 Player and No cell phone? A. 27 B. 39 C. 171 D. 210 21. For 10 days, Romero kept a record of the number of hours he spent listening to music. The information is shown in the table below. Which scatter plot shows Romero’s data graphically? Day 1 2 3 4 5 6 7 8 9 10 Hours9 3 2 6 8 6 10 4 5 2 A. B. CMS Foundations of Math I - Unit 1-5 District Benchmark Page 9 of 12 C. D. 22. Given this pattern below, which is the 20th term? 5 8 11 14 17 A. 56 B. 62 C. 53 D. 65 23. Given the pattern below, what is the proper nownext equation? 2.5 5 10 20 A. Next = Now – 2 B. a) Next = Now + 2 C. a) Next = 2Now D. a) Next = Now/2 CMS Foundations of Math I - Unit 1-5 District Benchmark Page 10 of 12 24. Given the pattern below, what is the proper nownext equation? 5 8 11 14 17 A. Next = Now – 3 B. Next = Now + 3 C. Next = 3Now D. Next = Now/3 25. A biology student measured the height of a small plant at weekly intervals. The results obtained are listed in the following table. What is the estimate of the height in 3.5 weeks? Time (weeks) 0 1 2 3 4 5 6 7 Height (cm) 1.2 2.5 3.6 4.5 5.3 6.4 7.2 8.3 A. 4.5 B. 4.7 C. 4.9 D. 5.0 26. Busses run every 9 minutes starting at 6 a.m. You get to the bus stop at 7:16. How long will you have to wait for the bus to come? A. 6 minutes B. 5 minutes C. 9 minutes D. 4 minutes CMS Foundations of Math I - Unit 1-5 District Benchmark Page 11 of 12 27. What is the domain of the relation {(2, 4), (3, 7), (4, 9), (6, 11)} A. {2, 3, 4, 6} B. {4, 7, 9, 11} C. (2, 4) D. (2, 4, 3, 7) 28. If f(x) = 2x + 1, what is f(x3)? A. f(x – 3) = 2x – 5 B. f(x – 3) = 2x – 2 C. f(x – 3) = 2x – 6 + 1 D. f(x – 3) = 5/ 2 29. Given the function f(x) = x2 2x – 3, find f(3) A. 6 B. 1 C. 12 D. 18 CMS Foundations of Math I - Unit 1-5 District Benchmark Page 12 of 12
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