Linear Functions. Cumulative Test. Select the best answer.

Transcription

1 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 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 = x C x = 295 B x = 210 D 210x = Solve 8z + 11 = 5. F 2 H G 13 J Choose the most precise measurement. A 12 ml C 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 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 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 pages/min 81

2 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 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 Solve the compound inequality 2 x F 18 x AND x 9 G 30 x AND x 106 H 18 x OR x 9 J 30 x OR x 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 < 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 < 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 > 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

3 Cumulative Test continued 2. What is the value of h(x) = x 2 when x = 2? F 2 H 1 G 1 J Which function has (2, 8) on its graph? A y = x + 8 C y = 2x + 6 B y = 2x 2 D y = x 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 y 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 B x y = 1 D y = 3x 30. What is the y-intercept of x 3y = 2? F 8 H 6 G 6 J 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

4 Cumulative Test continued 33. The value of y varies directly with x, and y = 10 when x = 5. Find y when x = Which of the following lines is parallel to the line graphed below? A 6 C 2 3 B D 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 Choose the line that is the better fit for the data. x y A y = 1 x C y = x B y = x + D y = x 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) Which equation could represent a line of best fit for this data? F y 0.06x 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 = 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 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

5 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 y = 3x 16 Performance Assessment y = 1 3 x y 2.5x y 6 = 1(x + 2) or y 1 = 1(x 3) 12. III and IV 13. y = 5x ; Pick two grid points that the line passes through and use the slope formula.. y = 5x mi/gal 6. The point (1, 66) because it does not follow the linear trend of the other points. 222

6 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) 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