math 11 solutions to prerequisite exam...
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Name_____________________________________________Date_______________________Chiek Math 11
1
Math 11 Solutions to Prerequisite Exam Review
If anyone catches a mistake, email me the correct answer and you will receive extra credit!
1. x = 43 2. x = − 1
14
3.
4. y = mx + b , y − y1 = m(x − x1) , m =y2 − y1x2 − x1
5. y = 18x + 11
8
6. … their slopes are the same; … their slopes are opposite reciprocals.
7. y = 32x − 2
8. 9.
D : (−∞,∞)R :[2,∞)
D : (−∞,∞)R : (−∞,∞)
10. (0,−1) 11. − 27 , 137( )
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Name_____________________________________________Date_______________________Chiek Math 11
2
12. 5 57 gal of 20% & 4 27 gal of 90% antifreeze solution
13. y = 2x + 3 14. y = − 23x
15.
16. x = − 712 , 54{ } 17. No solution 18. − 23 , 103( ) 19a. y3(2x + 3)(4x2 − 6x + 9) 19b. 4a(x − y)(x + y)(x2 + y2 ) 19c. (x + y − 2)(x + y + 2) 20a. x = −3,6{ } 20b. x = −5,2{ } 21a. 10 sec 21b. 5 sec 22c. 400 ft 23. 3 ft
24a. x = −1,3{ } 24b. x = − 14 24c. x = −2,−1{ }
24d. x = 5 24e. x = −1
The solution is the area of intersection!!!
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Name_____________________________________________Date_______________________Chiek Math 11
3
25a. 25b.
D :[5,∞)R :[2,∞)
D : (−∞,∞)R : (−∞,∞)
27. $4,500 28. 60 mph to Chicago and 40 mph from Chicago
29. 2x + 3 30. x = −1± i 116
31. x = −5 ± 376
32a. (−2,7) 32b. [−4,3)∪[4,7) 33a. x = −4,− 12{ }
33b. x = 27125
34a. y = 2(x − 2)2 − 6 ; Parabola
34b. (x −1)2
8− y
2
4= 1 ; Hyperbola
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Name_____________________________________________Date_______________________Chiek Math 11
4
35.
Vertex :(3,2)Axis of Symmetry: x = 3
and don’t worry about the rest!
36. Don’t worry about it! 37. (x + 3)2 + (y − 2)2 = 48 38. 39.
D : (−∞,∞)R : (3,∞)
D : (2,∞)R : (−∞,∞)
40. f −1(x) = log2x + 32
⎛⎝⎜
⎞⎠⎟ +1 41. f
−1(x) = (3)x2 + 2
42a. x = 6,12{ } 42b. x = −3,−1{ } 42c. x = 6
42d. x = 1+ ln 43
43. 13,235 years old
44. a20 = 79 & S20 = 820 45. a20 = 10(12 )
19 & S5 = 19 38 46. 42 47. 16x4 − 32x3y + 24x2y2 − 8xy3 + y4
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