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North Seattle Community College
Chapters 1 – 5 Review
Show all work for full credit.
Math 084
Final Review
Name _______________________
Perform the indicated operation and simplify; write answers with positive exponents:
1.
4 x 2  3x  10 x  10  12 x 2
2.
3.
1.
_____________________
4h 2 3h  2  3h h 2  5h  2  102h  1
2.
_____________________
6x z x
3.
_____________________
a 
a 
4.
_____________________
5.
36 x 4 y 6
54 x 4 y 9
5.
_____________________
6.
 x  43x  5
6.
_____________________
7.
4a  7b 5a  8b
7.
_____________________
4.

2
4
3
y 5 z 3

2 3

4 2
8.
9.
10.
3 y  1  y 2  2 y  5
24a 3b 5  30a 5 b 2
6a 2 b
x  3 x 2  5x  8
8.
_____________________
9.
_____________________
10. _____________________
11.
Write in scientific notation 985,000,000
11. _____________________
12.
Write in standard notation: 7.824 X 10 7
12. _____________________
13.
Write the slope of the line through the points
13. _____________________
(12, - 55) and ( - 16, 27)
14.
Write the equation for each line through the points
(2, - 5) and ( - 6, 7)
14. _____________________
Solve the systems by graphing:
15.
3x  2 y  6
2 x  4 y  20
16
2 x  y  2
y  x4
17.
Solve the system algebraically:
5x  6 y  1
3 x  2 y  1
17. _____________________
18.
Solve the system algebraically:
3 x  2 y  11
y  2x  1
18. _____________________
Solve each equation:
19.
5x  6  29  2x
19. _____________________
20.
3 y  4  4 y  11  5
20. _____________________
21.

22.
1
 y  18  1 2 y  3  y  1
9
3
2
y4
3
21. _____________________
22. _____________________
Solve each equation:
23.
7x  5
 1  4x
5
23. _____________________
24.
98.6  n  129.2
24. _____________________
Solve each inequality, graph on the number line and write the solution in interval notation
25.
3x  6  2 x  8
25. _____________________
26.
43  x  34  x  15
26. _____________________
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