Name ______________________________
Algebra 2 200
Review – All things Linear
1. Find the range of each equation for the given domain.
1
b) y   x  3
2
a) y  3x  4
x
3
0
-2
x
4
0
-6
y
2. Is the relation a function?
a) 2, 4, 2, 6, 8, 3
b) 3,1,  4, 3, 6, 5
3. Determine if the given equations are linear.
2
a) x  3 y  9
b) x 
 10
y
d) y  4 x 2  2
y
e) y 
x
 12
2
c) 6xy  2
f) y 
Write the equation for the line that has the following characteristics.
5
4. Has a slope of
and an x-intercept of (-5, 0).
2
5. Contains the points (5, -2) and (6, 1).
3
6
x
6. Is horizontal and passes through (3, -2).
7. Is parallel to 5x – 4y = 7 and contains the origin.
8. A line is perpendicular to y – 5 =
2
(x + 5) and contains (1, -5).
3
9. Phoebe Small still has 35 pages of history to be read after she has been reading for 10 minutes, and
5 pages left after she has been reading for 50 minutes. Assume that the number of pages left to read
depends on the number of minutes she has been reading. Write the particular equation expressing
pages in terms of minutes, and use it to predict the time when she has finished reading.
10. 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 depends on the # of quarts in the carton.
a. Write the particular equation expressing price in terms of quarts.
b. If Dan sold 3-gallon cartons of milk, what would your model predict the price to be?
c. 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?
d. Sketch a graph of this function in an appropriate domain.
e. What are the units of the slope? What real-world quantity does
this represent?
11. Graph the given equations on the graph.
a) y   x
b) 2x  4 y  8