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Algebra II with Trigonometry
Name______________________________
Chapter 2 Review
Test Tues 11/19/10
1) Consider the relation { (-8, 8), (-5, 5), (-2, 2), (0, 0), (4, 4), (7, 7) }.
State the domain. ________________ State the range. ________________
What is the rule? _________ Is the relation a function? _____ Why or why not?
2) If f(x) = 3x - 5 and g(x) = x2, find f(g(-4)). _______
3) If the domain of the function f(x) = -3x2 – 2x is {-6, -2, 4}, what is the range for
the function? ______________
4) Find the slope of the line containing the points (3, -1) and (-6, -4). __________
5) Write the equation 4x – 3y = 18 in slope-intercept form.
State the slope.______
State the y-intercept.______
6) For the equation 5x – 4y = 20, the x-intercept is ________ and the
y-intercept is________.
7) Write the equation y = -2/5 x + 3/2 in standard form. ____________________
8) Show whether or not the ordered pair (-3, 7) is a solution of the inequality
7x – 9y < -10.
9) Line #1 contains (2, -4) and (0, 2). Line #2 contains (-4, 5) and (-1, 6).
Are the lines parallel, perpendicular, or neither? Explain.
10) Find the vertex for the graph of y = | 3x – 6 | + 5. ______________
GD/MPH/RS/CR 11/06
1
Algebra II with Trigonometry
Write the equation of the line for the following:
Slope-intercept form
Standard form
General form
11) Parallel to the x-axis through
the point (-4, -7).
12) For the horizontal line passing
through the point (5, 3).
13) Containing the points (3, 5) and (-3, 7).
14) Through origin with slope -2.
15) Has x-intercept 5 and y-intercept -11.
GD/MPH/RS/CR 11/06
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Algebra II with Trigonometry
16) With slope -2/3 and passing through
the point (-3, 6).
17) Parallel to the line y = -3x + 1
and through the point (4, -3).
18) Perpendicular to the line y = -3x + 1
and through the point (4, -3).
Solve to find the missing variable.
4
19) A line has a slope of
and contains the points (1, -7) and (9, y).
3
What is the value of y?
Determine the rate of change.
20) In 1992 Bob earned $35,460 per year and he now earns $59,200. What is the rate
of change for Bob’s salary per year?
GD/MPH/RS/CR 11/06
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Algebra II with Trigonometry
Sketch the graphs of the following using x and y-intercepts.
21) x – y = -4
22) 3x + 8y = 24
Sketch the graphs of the following.
23) -4x > 20
GD/MPH/RS/CR 11/06
24) 3y – 2x < -6
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Algebra II with Trigonometry
Sketch the graphs of the following. Label the vertex and 2 other points on the
graph.
25) y = | x + 6 |
26) y = - | x | + 4
27) y = - | x - 5 |
GD/MPH/RS/CR 11/06
28) y = | x + 3 | - 5
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Algebra II with Trigonometry
Scientists record data from experiments with hope of eventually finding patterns that
will enable them to predict future results. For example, in testing an antibacterial
ointment, a chemist might record the number of bacteria present in a tissue culture
after using the ointment for different periods of time. The table below shows a record
of the number of hours and the number of bacteria.

Make a scatter plot of this data.

Does there appear to be a relationship between time and the effectiveness of the
ointment (positive, negative, or no correlation)?__________________________
Use the scatter plot to support your answer.

Find the slope of the line of best fit of the data. __________
What is the meaning of slope for the data?

After how many hours do you expect one-half of the bacteria to be
terminated?___________
Do you expect that all the bacteria will be terminated?____________ Why or
why not?
GD/MPH/RS/CR 11/06
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Algebra II with Trigonometry
Chapter 2 Review
ANSWERS
1)
1
x6
3
x + 3y = 18
x + 3y – 18 = 0
{-8, -5, -2, 0, 4, 7}
{8, 5, 2, 0, 4, 7}
y=|x|
Yes
13) y =
2)
43
3)
{-96, -56, -8}
14) y = -2x
2x + y = 0
2x + y = 0
4)
1
3
5)
m=
4
3
y-int (0, -6)
11
x  11
5
11x - 5y = 55
11x – 5y – 55 = 0
13.5 hours
2
x4
3
2x + 3y = 12
2x + 3y – 12 = 0
7)
4x + 10y = 15
8)
Yes
17) y = -3x + 9
3x + y = 9
3x + y – 9 = 0
9)
Perpendicular
18) y =
1
13
x
3
3
x – 3y = 13
x – 3y – 13 = 0
10) (2, 5)
GD/MPH/RS/CR 11/06
m = -2.95
Decrease of 3 bacteria
per hour
16) y =
x-int (4, 0)
y-int (0, -5)
12) y = 3
y=3
y–3=0
Negative correlation
15) y =
6)
11) y = -7
y = -7
y+7=0
Scatter Plot
19)
 53
3
20) Increase of
$1318.89 per year
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