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
,
, 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
