MATH 0302 - Collin College



MATH 0302 Review for Final Exam

For #1-10, perform the indicated operations.

1) -15 + 12 + (-9)

2) -3(-7)(2)

3) [pic]

4) [pic]

5) [pic]

6) [pic]

7) [pic]

8) [pic]

9) [pic]

10) [pic]

11) Round to the nearest thousand: 246,845

12) Solve: 4X + 3 = 39

13) Solve: [pic]

14) Evaluate [pic] for T = -5

15) Simplify: [pic]

16) Simplify: [pic]

For #17-21, perform the indicated operations.

17) [pic]

18) [pic]

19) [pic]

20) [pic]

21) [pic]

22) Factor: [pic]

23) Combine like terms: [pic]

24) Write the number in scientific notation: 0.0000748

25) Solve: Jane bought [pic] lb of thyme, [pic] lb of rosemary, and [pic] lb of dill. How

many pounds of herbs did she buy in total?

26) Add: [pic]

27) Find the prime factorization of 120.

28) Find the area of a rectangular garden which is 12 yards long and 18 yards wide.

29) Find the perimeter of a rectangular pool which is fifty feet long and twenty feet wide.

30) What is the area of the right triangle?

[pic]

31) Find the circumference of the circle. Find the exact value and give an approximation to the nearest hundredth (using π ≈ 3.14).

32) Find the length of the missing side of the right triangle. (Round to the nearest thousandth.)

[pic]

33) Solve: 13 + 5T = 3(T – 4) + 15

34) Translate the sentence into an equation and then solve:

“Five more than twice a number is twenty-three.”

35) The point (6, -1) is in which quadrant?

36) Plot the points: (3,-5) and (-4,2).

y-axis

|  |  |

|2. 42 |20. [pic] |

|3. -6 |21. [pic] |

|4. 80 |22. [pic] |

|5. 21 |23. [pic] |

|6. 6 |24. [pic] |

|7. [pic] |25. [pic] |

|8. [pic] |26. [pic] |

|9. [pic] |27. [pic] |

|10. [pic] |28. 216 sq ft |

|11. 247,000 |29. 140 ft |

|12. X = 9 |30. 352 sq yd |

|13. Y = [pic] |31. exact: [pic] in , approx: 87.92 in (note: |

| |using the π key on a calculator may give an approximate answer of|

| |87.96) |

|14. 57 |32. 12.689 m |

|15. [pic] |33. T = -5 |

|16. [pic] |34. equation: 2X + 5 = 23 , |

| |solution: X = 9 |

|17. [pic] |35. Quadrant IV |

|18. [pic] |36. See graph below |

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y-axis

x-axis

22 yd

16 yd

14in in in

x-axis

8 m

15 m 1515m mm

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