Take Your Exam Prep to New Heights with the Comprehensive [College Algebra with Intermediate Algebra A Blended Course, Beecher] Test Bank

FINAL EXAMINATION NAME_____________________________

TEST FORM A CLASS_____SCORE_____GRADE_____
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1. Simplify: 2a 4b 5  .
3
ANSWERS

1.
2. Graph x  2 on a number line.



2. See graph.
2.4  10 6
3. Divide: . Write scientific notation for the answer.
3.2  108

3.
4. Find the union: 2, 3,8,11,16  3, 5,8,12 .

5. Determine whether the correspondence is a function.
2 Mary 4.
3 Jeff
4 Anthony
Deirdre

6. Find an equation of the line parallel to 4 x  2 y  3 which 5.
passes through  2, 5 .

7. The table below shows the number of candles sold at a charity’s
fundraiser for 4 successive years. 6.
Year Number candles sold
0 80
1 70
2 62 7.
3 64

Use years 0 and 3 to model the data with a linear function, and
then predict the number of candles that will be sold in year 5
using this function.




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,FINAL EXAMINATION NAME_____________________________

TEST FORM A
___________________________________________________________________________

ANSWERS Solve.

8. 4x − 2 = 6 9. x 2 − 5 x + 3 = 0
8.

9. 10. x + 2 = 2x + 1 11. x 2 > 8 x − 15

10.
3x x 2 −4 x
12. = 27 13. log x  8
11. 34

12. 4 3 2x 1 1
14. x 8  x  7 15.   2 .
5 4 2x 1 x 2x  x
13.
Solve, if possible. If there is no solution, state this. Use any method.
14.
16. 2 x + 6 y = 2, 17. 3 x − 2 y + z = 6,
15.
x − y = −7 −2 x + 5 y + 3z = −26,
16. − x + 3 y − 2z = 8

17. 18. x + 2 y = 6, 19. 2 x 2  5 y 2  38,
18. 2 x + 4 y = −12 6 x  y  16

19. 20. Solve and write interval notation for the solution set:
3  4 x  2  14 .
20.
Given that f  x   2  x  1  3, find:
2
21.
21.
a) f  4  ; b) f  a  2 .
22. a)
b)
For f  x   x and g  x   3x  1, find each of the following:
23. a)
b) 22. a) The domain of f; b) the domain of g.

24. a) 23. a)  f  g  x  ; b) the domain of f  g .
b)
24. a)  g / f  x  ; b) the domain of g / f .
25. a)
b) 25. a)  g  f  x  ; b) the domain of g  f .


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,FINAL EXAMINATION NAME_____________________________

TEST FORM A
___________________________________________________________________________

26. The graph of the function y  f  x  is shown below on the left. ANSWERS
No formula for f is given. Make graph of y  f  x   3 .
26. See graph.




27. See graph.



Graph the equation.
27. y   x  4 28. y   x  1  2

28. See graph.




29. See graph.


29. Graph: f ( x ) = e x − 1 .




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, FINAL EXAMINATION NAME_____________________________

TEST FORM A
___________________________________________________________________________

ANSWERS 30. Make a graph of 2 x + y < −2.


30. See graph.




4
31. Graph f  x   .
 x  2
2
31. See graph.
Label all the asymptotes and
any intercepts.




 x  1  y  2
2 2
32. See graph.
32. Graph   1.
4 9




33. For the graph of the function f ( x ) = 2 x 2 + 4 x + 5,
33. a)
b) a) find the vertex;
b) find the axis of symmetry;
c)
c) state whether there is a
d)
maximum or minimum value
e) and find that value;
f) See graph. d) find the range;
e) determine the intervals on which
the function is increasing,
decreasing, and constant;
f) graph the function.

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