FINAL EXAMINATION NAME_____________________________
TEST FORM A CLASS_____SCORE_____GRADE_____
___________________________________________________________________________
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.
3.2 108
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.
Copyright ©2017 Pearson Education, Inc. 289
,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 .
290 Copyright ©2017 Pearson Education, Inc.
,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 .
Copyright ©2017 Pearson Education, Inc. 291
, 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.
292 Copyright ©2017 Pearson Education, Inc.
TEST FORM A CLASS_____SCORE_____GRADE_____
___________________________________________________________________________
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.
3.2 108
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.
Copyright ©2017 Pearson Education, Inc. 289
,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 .
290 Copyright ©2017 Pearson Education, Inc.
,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 .
Copyright ©2017 Pearson Education, Inc. 291
, 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.
292 Copyright ©2017 Pearson Education, Inc.
