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FINAL EXAMINATIONS

,
, FINAL EXAM, FORM A 299


FINAL EXAM, FORM A INTERMEDIATE ALGEBRA
NAME_____________________________ SECTION_______________________
________________________________________________________________________

⎧ 36 7⎫
Let P = ⎨ 0.91, 0 , − 3 , , 8 , −16 , 19 , − ⎬ . List the elements of P that are
⎩ 9 5⎭
members of each set.

1. Integers 1. _____________________

2. Rational Numbers 2. _____________________

3. Irrational Numbers 3. _____________________

4. Real Numbers 4. _____________________

For Exercises 5-7, simplify the expression.

5. − 2 + 7 − − 9 − (− 3 − 2) 5. _____________________

(− 8)(4) − (− 3)(9) − 4 − 7
6. 6. _____________________
4 + 6(− 2)

7. − − 11 − 7 − − 3 + 1 7. _____________________


For Exercises 8-13, solve the equation or inequality.

8. 6 − (2 + 3b ) + 4b = −3(b − 2) − 4 8. _____________________

9. 3t − 2 > 5t + 8 9. _____________________

10. 4x − 3 = 9 10. ____________________

11. 3y + 7 ≤ 4 11. ____________________

x +3 x −3
12. − =0 12. ____________________
6 9

13. − 3 z < 12 or 2 z < −12 13. ____________________

, 300 FINAL EXAM, FORM A

14. Find the slope of the line through
(− 3 , − 4) and (− 21 , − 24) . 14. ____________________


15. Find the standard form of the equation
of the line through (3 , 1) and parallel
to the line with equation x − 2 y = 5 . 15. ____________________


For Exercises 16-17, graph the equation or inequality.

16. 4 x − 3 y = −12 17. 3 x − y ≥ −6




18. Consider the relation defined by the following set of ordered pairs:

{( 0, 4 ) , ( −2, 0 ) , ( 3, − 1) , ( −4, 0 ) , (1, 4 )}
(a) Is the relation a function? 18. (a) _________________

(b) What is the domain? 18. (b) _________________

(c) What is the range? 18. (c) _________________


For Exercises 19-21, solve the system of equations.

19.
3x − 2 y = 1
19. ____________________
4 x − 5 y = −8

20.
2 x + 3 y = 16
20. ____________________
y = −x + 4