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May 24th









May 24th

MATHEMATICS 89 FINAL EXAM A

Put a check mark by your section:

  01 MW 9:00AM   Teng
  02 MW 9:00AM   Gonzalez
  03 MW 10:50AM Gebremicael
  04 MW 12:40PM Gonzalez
  05 MW 2:30PM Wang
  06 MW 4:20PM Smblyan
  07 TR 8:00AM   Nava
  08 TR 9:50AM   Mittal
  10 TR 11:40AM Lee
  11 TR 1:30PM Ferguson
  12 TR 4:20PM Hendrata

• This exam has 25 questions. Each question is worth 4 points.

• This is a closed book exam. No notes, no books allowed.

• No calculators allowed .

• Write your name at the top of each page.

• If you do not have enough room to work on a particular problem, you can use the back
of the previous page or an extra sheet of paper. Make sure that the graders can find
any work that you want graded. Write your name and student number on any extra
paper.

Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 TOTAL
Score                                                      

1. Mark the fol lowing as true or false:

Answer:

Answer:

Answer:

Answer:

2. Given sets R = {1, 2, 3, 4, 5} and T = {2, 4, 6, 8, 10}, de termine whether the following
statements are true or false:

Answer:

Answer:

Answer:

Answer:

3. Find the GCF ( factor -problem.html">greatest common factor) and LCM ( least common multiple ) of 24 and
30.

  GCF=

LCM=

4. Calculate . Put the answer in lowest terms.

  Answer:

5. Calculate . Put the answer in lowest terms.

  Answer:

6. Calculate −2[5 − (−3)2].

  Answer:

7. Calculate . Put the answer in lowest terms.

  Answer:

8. Simplify the expression 3(xy − 7) − 4y(x + 5).

  Answer:

9. Evaluate the expression 3xy − 2x3 when x = −1 and y = 2.

  Answer:

10. Solve for y.

  y =

11. Solve for b.

  b =

12. The formula for the volume of a cylinder is V = πr2h where V is the volume, r is the
radius of the base, and h is the height of the cylinder.

(a) Solve this formula for h.

  h =

(b) The cylinder below has volume 12π cm3. What is its height?

  Answer:

13. The sum of 3 consecutive integers is 63. What is the smallest of these integers?

  Answer:

14. Solve the inequality −3z + 13 < 34.

  Answer:

15. A rectangle has perimeter 18 inches and its width is 5 inches more that its length.
What is the width of the rectangle?

  Answer:

Questions 16-21 are about the figure below:

16. What is the measure of ∠CBE?

  Answer:

17. What is the measure of ∠ABC?

  Answer:

18. What is the measure of ∠DBC?

  Answer:

19. What is the area of the triangle CBE?

  Answer:

20. Is there an isosceles triangle in the diagram? If so, what are its vertices?

  Answer:

21. What is the area of the trapezoid ABEC?

  Answer:

Questions 22–23 are about the figure below:

22. What is the length of ?

  Answer:

23. What is the length of ?

  Answer:

Questions 24–25 are about the shaded figure below formed by cutting a semi circle of radius
2 cm from a rectangle. In answering these questions, do not approximate π.

24. What is the area of the shaded figure?

  Answer:

25. What is the perimeter of the shaded figure?

  Answer:
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