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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 102h 1 2. _____________________ 6x z x 3. _____________________ a a 4. _____________________ 5. 36 x 4 y 6 54 x 4 y 9 5. _____________________ 6. x 43x 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 x4 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 y4 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. 43 x 34 x 15 26. _____________________