Document Sample

Algebra II 300 Name_______________________ Chapter 2 Test Review Date________________________ Write the equation for the line that has the following characteristics. Leave the equation in standard form. 5 1. Has a slope of and an x-intercept of (-5, 0). 2 2. Contains the points (5, -2) and (6, 1). 3. Is horizontal and passes through (3, -2). 4. Is parallel to 5x – 4y = 7 and contains the origin. 2 5. A line perpendicular to y – 5 = (x + 5) and contains (1, -5). Find the following. 3 a. Slope: b. y-intercept: c. x-intercept: d. Graph: (both lines) Algebra II 300 Name_______________________ Chapter 2 Test Review Date________________________ 6. Dan sells one-gallon (4 quarts) cartons of milk for $3.09 and half-gallon cartons for $1.65 each. Assume that the price you pay varies linearly with the # of quarts in the carton. a. State the independent and dependent variables. b. Write the particular equation in slope intercept form expressing price in terms of quarts. c. If Dan sold 3-gallon cartons of milk, what would your model predict the price to be? d. Suppose that you found a carton of milk marked at $3.45, but there was nothing on the carton to say what size it is. What would your model predict as the size of the carton? e. Sketch a graph of this function in an appropriate domain. f. What are the units of the slope? What real-world quantity does this represent? Algebra II 300 Name_______________________ Chapter 2 Test Review Date________________________ 7. Tara read that the number of dollars per month it costs you to own a car depends on the number of kilometers that you drive it. She found that the cost varies linearly with distance, and she spends $366 per month for 300 km per month and $510 per month for 1500 km per month. a. State the independent and dependent variables. b. Write the particular equation in slope intercept form expressing cost in terms of distance. b. Predict your monthly cost if you drive 500, 1000, 2000 km/month. c. Tara’s parents will not let her spend more than $600 per month on her car. How far can she drive during a month? d. What does the slope represent? 8. Assume the cost depends on the year. Year 1992 1993 1994 1995 1996 1997 1998 National Health Expenditures (billions of dollars) 836.5 898.5 947.7 993.7 1042.5 1092.4 1115.7 a. Find the linear regression equation that would best fit the data. (Round to 4 decimal places) b. What would your equation predict the expenditures to be this year? In 2015? c. During what year will the expenditures reach 2 trillion (2000.0)? Algebra II 300 Name_______________________ Chapter 2 Test Review Date________________________ 9. Write the equation of an absolute value function that is reflected over the x-axis, shifted right 7, and up 4. 10. Describe the transformations of the related function r(x) from the parent function, . a) Write the equation for the related function, . b) State the domain of the related function. c) State the range of the related function. d) State the coordinates of the y-intercept and x-intercept(s) of the related function algebraically. e) Find 2 algebraically. Check your solutions graphically. f) Find all values of x for which 2 algebraically. Check your solutions graphically. Algebra II 300 Name_______________________ Chapter 2 Test Review Date________________________ Find the domain and range of each relation, and determine whether it is a function. 11. {(2,1), (-4,5), (1,7), (2, -3), (-1, 2)} 12. {(1, -1), (2, -2), (3, -3), (4, -4), (5, -5)} Suppose f ( x) = 3x − 4 and g ( x) = x + 3 . Find each value. ⎛1⎞ 13. f(2) 14. f ⎜ ⎟ + g (−2) ⎝ 3⎠ f (1) 15. 16. f ( x) = 5 g (1) 17. The diameter of a tree varies directly as its age. A 15 year old tree is 3.75 inches in diameter. How old will the tree be when it is 25 inches in diameter? (Hint: find the constant of variation first.) Graph the inequalities. 18. 2 x − 3 y ≤ 9 19. y < x + 2 20. A digit that is not a natural number.

DOCUMENT INFO

Shared By:

Categories:

Tags:

Stats:

views: | 4 |

posted: | 3/12/2012 |

language: | English |

pages: | 5 |

OTHER DOCS BY zhouwenjuan

How are you planning on using Docstoc?
BUSINESS
PERSONAL

By registering with docstoc.com you agree to our
privacy policy and
terms of service, and to receive content and offer notifications.

Docstoc is the premier online destination to start and grow small businesses. It hosts the best quality and widest selection of professional documents (over 20 million) and resources including expert videos, articles and productivity tools to make every small business better.

Search or Browse for any specific document or resource you need for your business. Or explore our curated resources for Starting a Business, Growing a Business or for Professional Development.

Feel free to Contact Us with any questions you might have.