Cumulative Test Select the best answer. 1. Which statement represents the expression 2q + 3? A the quotient of 2 and q, plus 3 B the difference of 2 times q and 3 C 3 more than the product of 2 and q D 3 less than the quotient of 2 and q 2. Evaluate 2ps for p = 3 and s = 5. F 6 H 10 G 30 J 23 3. A new park opened on Monday with 5 visitors. The manager estimates that the number of visitors doubled every day from the previous day during its opening week. About how many visitors did the park receive on Friday? A 180 C 720 B 225 D 10. Which expression shows the absolute value of the sum of x and 6? F x + 6 H 6 x G x + 6 J 6x 5. A gumball machine dispenses 2 gumballs for every quarter inserted. Which rule can be used to find the number of quarters in the gumball machine after x gumballs have been dispensed? A y = 1 2 x C y = x 1 2 B y = 2x 6. Solve d + 3 = 1. D y = 2 x F 1 H 1 2 G 1 2 J 1 7. Ama deposited her babysitting money into her savings account, which already had a balance of $210. Her new balance is $295. Which equation can be solved to find how much she deposited? A 295 + 210 = x C x + 210 = 295 B x + 295 = 210 D 210x = 295 8. Solve 8z + 11 = 5. F 2 H 13 11 G 13 J 2 11 9. Choose the most precise measurement. A 12 ml C 15.20 ml B 2.56 L D 25 L 10. Choose the possible range of the measurement 0.5 mg ± 0.2%. F 0.3 mg 0.7 mg G 0.8 mg 0.52mg H 0.9 mg 0.51mg J 0.99 mg 0.501mg 11. Solve for w: 5 = 15 3w. A 20 C 33 B 10 D 63 12. Trey s mechanic said he could fix Trey s car at a rate of $20 per hour, plus $00 for the cost of a part. Trey s neighbor said he already has the needed part, and will fix his car for only $70 per hour. For how many hours will the cost of getting his car fixed by either person be the same? F H 6 G 5 J 8 13. Solve 6x 3 = 9. A 2 C 1, 2 B 2, 1 D 1, 2 1. A proofreader read 195 pages in 7 hours. To the nearest hundredth, what is her reading rate in pages per minute? F 0.02 pages/min H 1.16 pages/min G 0.6 pages/min J 27.86 pages/min 81
Cumulative Test continued 15. Every dimension of the prism shown below was multiplied by a scale factor to form a similar prism. The new prism has a volume of 6000 cubic centimeters. What was the scale factor? A 3 C 8 B 5 D 125 16. Which graph shows 6 < v? F G H J 17. Solve the inequality 3 5 x 30. A x 18 C x 50 B x 18 D x 50 20. Solve the compound inequality 2 x 6 100. F 18 x AND x 9 G 30 x AND x 106 H 18 x OR x 9 J 30 x OR x 106 21. Which represents the solution of 2x > 10? A x > 7 OR x < 7 B x < 7 OR x > 7 C x > 7 AND x < 7 D x > 7 AND x < 7 22. Which represents the solution of 3 x 8 < 2? F x > 2 OR x < 2 G x < 2 OR x > 2 H x > 2 AND x < 2 J x > 2 AND x < 2 23. Which situation could be represented by the graph below? 18. Solve the inequality 0.25x + 3 > 0 F x > 12 H x > 0.75 G x > 12 J x > 0.75 19. Sove the compound Inequality 3 + b > 7 OR b + 9 < 17 A b > OR b < 26 B b > AND b < 26 C b >10 OR b < 8 D b > 10 AND b < 8 A Deb sold the same number of vases every year. B Deb sold vases for two years and then began purchasing new vases. C Deb sold vases for two years, neither sold nor bought the next year, and then sold vases for two more years. D Deb bought vases for two years, sold vases the next year, and then bought vases the last two years. 82
Cumulative Test continued 2. What is the value of h(x) = x 2 when x = 2? F 2 H 1 G 1 J 2 25. Which function has (2, 8) on its graph? A y = x + 8 C y = 2x + 6 B y = 2x 2 D y = x 2 26. Which scatter plot is the best example of a positive correlation? F G 27. Which relation is NOT a function? A (2, 6), (, 6), (6, 6) B (3, 1), (3, 5), (3, 8) C (0, 0), (1, 1), (6, 6) D (6, 2), (2, 6), (3, 9) 28. Which equation best describes the relationship between x and y? x 1 2 3 y 3 2 1 F y = x 5 H y = x + 5 G y = x J y = x 29. Which function is NOT linear? A y = 3x C y = x 2 + 2 B x y = 1 D y = 3x 30. What is the y-intercept of x 3y = 2? F 8 H 6 G 6 J 8 31. What is the slope of the line graphed below? H J A 5 C 1 B D 32. Which shows 2x + y = 6 written in slope-intercept form? F y = x H y = 2x + 6 G y = 3x J y = 2x 6 83
Cumulative Test continued 33. The value of y varies directly with x, and y = 10 when x = 5. Find y when x = 3. 37. Which of the following lines is parallel to the line graphed below? A 6 C 2 3 B 1 1 2 D 1 6 3. A line has a slope of 3 and contains the point (, 6). Which is the equation of the line? F y = 3x 12 H y = 3x 1 G y = 3x 6 J y = 3x + 2 35. Choose the line that is the better fit for the data. x 2 3 6 y 2 1 6 6 A y = 1 x C y = x 2 1 1 B y = x + D y = x + 1 2 2 36. The table shows the number of minutes per day members of a cross country team spent practicing over the summer and the members' mile time the following semester. Daily practice (min) mile time (min) 0 30 20 0 15 8.5 5.5 6.5 6.5 7 Which equation could represent a line of best fit for this data? F y 0.06x + 7.6 H 6x + 76 G y 7.6x 0.06 J 76x 6 A y = 3x + 2 C y = 1 x + 3 B x + 3y = 6 D x + y = 7 38. Which describes a line passing through ( 6, 5) that is perpendicular to y = 2 3 x? F y = 3 2 x + H y = 2 3 x 1 G y = 3 2 x J y = 2 3 x 9 39. The graph of g(x) is shown below. It was created by translating the graph of f(x) up units. Which of the following is f(x)? A f(x) = 6x + 1 C f(x) = 2x + 5 B f(x) = 2x 3 D f(x) = 2x + 1 8
2. Answers continued 1. A rotation about (0, ) (less steep), and a translation 8 units down. domain: {1, 2, 3,, 5,...}; range: {1600, 2200, 2800, 300,...} 3. x-intercept: 80; after 80 servings there is no yogurt left. y-intercept: 60; there are 60 fl oz of yogurt when no servings have been taken.. month 11 to 12; 0.1 percent per month 5. 0 6. 7 7. 6 8. y = 3x 16 Performance Assessment 1. 9. y = 1 3 x 3 10. y 2.5x 7 11. y 6 = 1(x + 2) or y 1 = 1(x 3) 12. III and IV 13. y = 5x + 21 2. 5 3. 5; Pick two grid points that the line passes through and use the slope formula.. y = 5x + 5 5. 30 mi/gal 6. The point (1, 66) because it does not follow the linear trend of the other points. 222
7. Answers continued the line through (2000, 6.5) and (2003, 3.) as this line captures 3 of the points 8. y 6.5 = 12.3 (x 2000) 9. 92.6 thousand Cumulative Test 1. C 2. G 3. C. F 5. A 6. F 7. C 8. F 9. C 10. J 11. D 12. J 13. D 1. G 15. B 16. H 17. D 18. A 19. H 20. G 21. B 22. H 23. C 2. H 25. B 26. J 27. B 28. F 29. C 30. F 31. C 32. J 33. A 3. G 35. B 36. F 37. D 38. F 39. B 223