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```					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.
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1. Has a slope of     and an x-intercept of (-5, 0).
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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.
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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.

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