MIDTERM Math 109
Find the domain and range of Y= 5 + – 2).
- Domain is a) (2, .0) b) [2, 00) c) (2, 00] d) none of these.
- Range is a) (5, co) b) (-.0, 5] c) 5) d) none of these.
Find the domain and range of Y = -2 – I x – 5 I
- Domain is a) All Real’s except -2 b) (-00, 00) c) (-.0, 5) d) none of these.
- Range is a) All Real’s except 5 b) (-Do, -2] c) (-00, 5] d) none of these.
5. Given that the points (4,-3) and (2, 10) lie on the same line, find its slope.
- a) 13/2
- b)-13/2
- c) -12
- d) none of these.
6. Given the linear equation x – 3y +5 = 0, find its y intercept.
- a) — 5
- b) -5/3
- c) 5/3
- d) none of these
Find the the domain and range of Y= -(x + 2)2 -4
- Domain is a) (-.0, co) b) All Real’s except 4 c) All Real’s except ±2 d) one of these.
- Range is a) All Real’s except ±4 b) (-00, .0) c) (-00, -4] d) none of these.
9. Find the Cos 8 if 8 is the angle formed by connecting the point (3,-3) to the origin and then forming a triangle in standarc form.
- a) -3-42
- b) -1k 2
- c) 1N 2
- d) None of these.
10. Find the Tan 0 if Cot 0 = -5/2
- a) -5/2
- b) 2 /5
- c) -2/5
- d) None of these.
11. Find 0 to the nearest degree if 0 is the angle formed by connecting the point (3,-3) to the origin and then forming a triangle in standard form.
- a) 30°
- b) 135°
- c) 315°
- d) None of these.
12. If Cot O = -5/2, find 0 to the nearest degree
- a) 159°
- b) 158°, 338°
- c) 159°, 339°
- d) None of these.
13. Cos 855°
- a) -.6333
- b) -1/2
- c) -1N2
- d) None of these.
14. A ladder leans against the side of a building and makes an angle of 12° with the ground. If the height the ladder reaches on the building is 29 feet, find the distance (to the nearest foot) the base of the ladder is from the base of the building.
- a) 256 feet
- b) 310 feet
- c) 136 feet
- d) None of these.
15. Using the data from question 14, what is the angle of depression from the point on the building where the ladder reached to the base of the ladder?
- a) 0°
- b) 12°
- c) 78°
- d) None of these.
16. In triangle ABC, a = 23 ft, b =14ft, and c = 18 ft. Find angle B to the nearest degree
- a) 30
- b) 34
- c) 37
- d) None of these.
17. Find the acute angle 8 to the nearest degree if Cos 8 = 1/2.
- a) 30
- b) 45
- c) 60
- d) None of these.
18. Simplify the following 7(x -2y) – (x + 2y)
- a) 4x -14y
- b)-6x -14y
- c) 6x — 16y
- d) none of these.
19. Evaluate -16 + 3(53)
- a) 391
- b) 359
- c) 59
- d) none of these.
20. If a hansom cab ride costs $220 if you drive for 5 miles around NYC, and $169 if you drive 2 miles. Find the equation that defines this relationship.
- a) Y = 17x -135
- b) Y = 17x +135
- c) Y = 7x +135
- d) none of these.
21. Solve for x. 3H = -1
- a) -1/15H + 1/5
- b) 1/15H – 1/5
- c) -1/15H – 1/5
- d) none of these.
22. Solve for x. 4 – x > 2(-2x – 6)
- a) (-8/3, co)
- b) (-00, 16/3]
- c) (-16/3, co)
- d) none of these.
23. A car dealer offers a new car at a price of $57,500. The selling price represents a profit of 141/2%. How much did the car cost the dealer? Round to the dearest dollar.
- a) $50,000
- b) $50,218
- c) $26,218
- d) none of these.
24. A cliff 3119 feet high casts a shadow 44 feet long at the same time that a tree casts a shadow 37 feet long. What is the height of the tree to the nearest foot?
- a) 2,222
- b) 2,623
- c) 26,218
- d) none of these
25. Evaluate to the nearest hundredth 320,000(1 +..0875/12)3°x12
- a) 3,075,591.03
- b) 4,375,591.03
- c) 4,375,591.33
- d) None of these
