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AATH Long Term Assignment
Semester I Review – Multiple Choice
Multiple Choice – circle your answers.
1. What is h(x + 1) if h(x) = x2 +3x?
A) x2 + 5x + 4
B) x2 + 3x + 1
Name __________________
D) x2 + 4x + 1
C) x + 1
x 2  3x  10
3x  15
 2
2
x  25
x  6x  8
x4
3
3
A)
B)
C)
3
4
x4
2. Simplify:
x3
3x 2

x 2  7 x  12 x  3
x( x  3)
x
A)
B)
3( x  4)
3( x  4)
D)
1
x4
3. Simplify:
 2x  6
8
 2
x  7 x  12 3 x  13 x  4
 3x  1
 2(3 x  1)
A)
B)
4
8
4. Simplify:
5. Simplify:
A)
B)
4
2

x  3 x 1
B)
7. Simplify:
6x
3

x 9 x3
A)
3
x3
C)
x
4
C)
45 y  28 x
21xy
D)
3
x4
D)
 16
(3 x  1)( x  4) 2
15 4

7x 3y
6
2x  2
A)
3x 5
( x  4)( x  3) 2
2
19
21xy
6. Simplify:
C)
19
7x  3y
D)
73 yx
21xy
6x  2
( x  3)( x  1)
C)
3
x 1
6x  3
x  x  12
C)
3
x
D)
3x  9
x2  9
6 x  15
3( x  y )
D)
7
x y
D)
2
B)
2
2x  3
6

x  y 3x  3 y
2x  9
2x  5
A)
B)
4( x  y )
x y
8. Simplify:
C)
3
x
9.
4  8

9 5
A. 44.4
B. 8.9
2
C. 80
10. Find 3b + 4d if b = 4 and d = -3
A. 12
B. -12
C. 24
11. Simplify: 6(2a + 3b) + 5(3a - 4b)
A. 27a – b
B. 27a – 2b
D. 67.2
E. 34
D. -24
E. 0
C. 27a + 38b
E. 16a – 2b
D. 16a - b
1
3
(7p + 3q) + (6p - 4q)
2
4
3
3
A. 8 p  q
B.  p  q
C.  p  q
2
2
12. Simplify:
13. Solve: 2 y  4  6  8
A. 3, - 3
B. 3, -11
D. 8 p 
3
q
2
E. 8 p 
D. –3, -5
C. 3, -5
3
q
2
E. –3, -11
14. Solve: 3x  7  4  2
A. –3, 
5
3
15. Solve:  5 
A. y  -13
B. 3,
y3
2
5
3
C. –3, 
B. y  -13
13
3
D. 3,
C. y < -13
16. Solve: 3m – 2 < 7 or 2m + 1 > 13
A. 3 < m < 6
B. 3  m  6
D. m  3 or m  6
E. no solution
C. d  -1 or d  -3
18. Solve: 2 y  5  3
A. 1 < y < 4
B. 1  y  4
C. y < 1 or y > 4
A. 5
C. -1
20. Write the equation in standard form: y =
A. 2x – 3y –24 = 0
E. no solution
C. m < 3 or m>6
B. 1 < d <3
3x  4
, find g(2)
x
B. -5
E. no solution
D. y > -13
17. Solve: 3d  6  3
A. d > -1 or d < -3
19. If g(x) =
13
3
D. 1
D. –3 < d < -1
D. y  -4 or y  -1
E. no solution
E. no solution
E. 0
2
x+8
3
B. 2x – 3y + 24 = 0
C. 3x – 2y = -24
D.
2
x – y = -8
3
E. y =
2
x+8
3
21. Write an equation in slope-intercept form that passes through (1,1) & is parallel to the line 2x + 3y = -5.
A. y 
2
5
x
3
3
B. y 
3
1
x
2
2
2
5
C. y   x 
3
3
D. y 
3
x2
2
3
E. y   x  1
2
22. Write an equation in slope-intercept form that passes through (6, -2) and is perpendicular to the line
–x + 8y = 5.
1
11
1
23
A. y  8 x  46
B. y  8 x  46
C. y  8 x  50
D. y  x 
E. y   x 
8
4
8
4
23. Solve by substitution:
2 x  3 y  10

 x  6  32
A. (-14, 26)
C. (26, -14)
E. (-38, 22)
24. Solve by elimination:
3x  2 y  20

2 x  3 y  9
B. (-26, 14)
D. (38, -22)
A. (6.5, -4)
C. (6, 1)
E. (-4, 2)
B. (1, 6)
D. (5, 13)
2 x  y  z  7

25. Solve the system of equations: 3 x  y  2 z  15
x  4 y  z  2

A. (1, 2, 3)
B. (1, 2, 4)
C. (2, 3, 4)
D. (4, 2, 1)
E. (4, 1, 2)
2 - 1 3
26. State the dimensions of the following matrix: 

0 6 5 
A. 3 X 3
B. 2 X 2
C. 2 X 3
D. 3 X 2
E. 6 X 2
2x
27. Solve: - y
3z
 16 
  18 
 

  21
A. (8, -18, -7)
B. (-7, -18, 8)
C. (4, -9, -3.5)
D. (0, 2, 6)
E. no solution
3 5   2 6
28. Solve: 


- 7 2 8 - 1 
 5  1
A. 

 15 3 
1 11
B. 

1 1 
34 13 
C. 

30  44
 1 1 
D. 
 E. no solution
 1  1
5 
29. Solve: 0 - 1 3   2
 
 3 
  5
A.  1 
 
 6 
 0 
C.  2 
 
  6
B. 5  3 0
D.  4
E. no solution
6 - 2
7 - 1 
30. Solve: 5
 2


5 4 
4 3 
44  12
A. 

33 26 
13  3
B. 

9 7 
3  2
1
31. Solve: 

- 2 - 1 0
 3  4
A. 

11 2 
16  8
C. 

17 14 
 48 24 
D. 

  51  42
E. no solution
 2 11
D. 

 4 3 
E. no solution
1  10
D. 
1 
6
E. no solution
D.  1 0  5
E. no solution
- 4
5 
 2  1
B. 

 2 4 
3 2
32. Solve: 
   8 15
5 2
 24 30
A. 
 B. 6  10
 40 30
 1 - 6 
  2
33. Solve: 0
5    

1
2 - 3   
 14 
 4


A.  10
B.  5 
 
 8 
  7 
 2  19
C. 

 4 9 
 6 
C. 

 10
C.  4 5  7
34. Simplify: (5x2)-3
A. 5x-1
B. 125x-1
8 x 2 y 4
32 x 3 y 7
A. 4x5y3
B. –4x-6y11
1
C. .25x-1y-3 D.
4 x5 y 3
35. Simplify:
E.
4
x y3
5
C.
1
125 x 6
D. 125x-6
E. 5x-6
36. Simplify: (3.1 X 105)(2 X 104)
A. 6.2 X 101
C. 1.55 X 1020
E.
1
1.55 X 10 20
B. 6.2 X 109
1
D.
6.2 X 109
7.6  10 4
37. Simplify:
4  108
A. 1.9 X 104
B. 1.9 X10-4
C. 30.4 X1012
D. 3.04 X 1011
E. no solution
38. Simplify: (4x3 - 7x2 + 5x + 4) + (3x3 + 4x2 - 7x + 1)
A. 7x3 – 3x2 – 2x + 5
D. 7x3 – 3x4 – 2x2 +5
B. 7x3 + 11x2 – 2x + 5
E. 12x9 – 28x4 – 35x + 4
C. 12x3 – 28x2 – 35x +4
39. Simplify: (2x2 - 3x +11) – (7x2 +2x - 8)
A. –14x2 – 6x - 88
D. 9x2 + 5x + 19
B. 5x2 – x + 3
E. –5x4 – 5x2 + 19
C. –5x2 – 5x + 19
41. Simplify: (4x-3)2
A. 16x2 – 9
B. 16x2 –24x + 9
C. 16x2 + 9
D. 16x2 –12x + 9
E. 16x – 9
40. Simplify: (3x - 5)(2x - 1)
A. –5x – 5
B. 6x2 + 13x – 5
C. 6x2 + 5
D. 5x + 5
E. 6x2 – 13x + 5
42. Use long division to find the quotient: (a4-5a3-13a2+1)  (a+1)
A. a3 – 6a2 – 7a + 7 -
6
a 1
D. a4 – 6a3 – 7a2 + 7a + 3
B. a3 – 6a2 – 7a + 7
C. a2 + 6a - 7
E. no solution
43. Use long division to find the quotient: (x3+3x2+3x+2)  (x2+x+1)
A. x2 + 2x
B. x2 - 2x + 0
C. x – 2
D. x+ 2
E. no solution
44. Use synthetic division to find the quotient: (m3+3m2-7m-21)  (m+3).
A. m3 - 7
B. m3 – 7m2
C. m2 - 7
45. Use synthetic division to find the quotient:
56
x3
5
4
3
2
D. x – 3x + 2x – 6x + 19x - 56
A. x4 – 3x3 + 2x2 – 6x + 19 -
D. 7m + 21
E. no solution
x5  7 x3  x  1
x3
B. x4 – 3x3 + 2x2 – 6x + 19
C. x3 + 3x2 – 2x - 37
E. no solution
46. Factor: x2 - 9
A. ( x  3) 2
B. ( x  3)( x  3)
C. ( x  3) 2
D. x( x  9)
E. x( x  3)( x  3)
47. Factor: x2 + 8x +15
A. ( x  7)( x  8)
B. x( x  8)  15
C. ( x  5)( x  3)
D. ( x  5)( x  3)
E. no solution
B. (2 x  5)( x  1)
C. 2( x  7)  5
D. 2( x  7 x)  5
E. no solution
B. ( x  5)(3x  3)
C. (3x  3)( x  5)
D. (3x  5)( x  3)
E. no solution
48. Factor: 2x2 - 7x + 5
A. (2 x  5)( x  1)
49. Factor: 3x2 - 4x - 15
A. ( x  5)(3x  3)
50. Factor: n3 + 125
A. (n  5)(n 2  5n  25)
D. (n  5)(n 2  5n  25)
B. (n  5)(n 2  5n  25)
E. no solution
C. (n  5)(n 2  5n  25)
51. Factor: 3x2 + 6xy - 4x - 8y
A. ( x  2 y )(3x  4)
D. 3x( x  2 y)  4( x  y)
B. x(3x  6 y )  4( x  y )
E. no solution
C. ( x  2 y )(3x  4)
52. Solve the following equation by factoring: x2 +12x = 45
A. 15, -3
B. –15, 3
C. 12, -45
D. 0, 0
E. no solution
53. Solve the following equation by factoring: 2x2 +5x = -3
A.
3
,1
2
B.
2
, -1
3
C.
2
,1
3
D. 
3
, -1
2
E. no solution
54. Solve the following equation by factoring: 5x2 = 20x
A. 0, -4
B. 0, 4
C. 5, 4
D. 5, -4
E. no solution
Free Response.
1. Use synthetic division to determine if (x - 4) is a factor of 2x3 + x2 – 41x + 20.
2. State whether the relation is a function. If so, state the domain and range. {(1, 2), (2, 3), (-5, 7), (3, 3)}
3. Graph the function: g(x) = 2 x  2
4. Graph the inequality: y > x - 2
5. Graph the inequality: 3x - 2y  4
x  y  2
6. Solve by graphing: 
y  x  4
7. Graph each system of inequalities. Name the coordinates of the vertices of the feasible region.
4 x  5 y  10

y  6
2 x  y  2

AATH
46. B
47. D
48. A
49. D
50. B
51. C
52. B
53. D
54. B
Multiple Choice – KEY
1. A
2. C
3. B
4. A
5. C
6. B
7. A
8. B
9. C
10. E
11. B
12. D
13. B
14. E
15. D
16. C
17. C
18. A
19. D
20. B
21. C
22. A
23. C
24. C
25. E
26. C
27. A
28. B
29. E
30. C
31. D
32. E
33. B
34. C
35. D
36. B
37. B
38. A
39. C
40. E
41. B
42. A
43. D
44. C
45. A
7.
(0, 2), (-2, 6), (5,6)
Free Response
1. yes, it is a factor
2. Yes, Domain {1, 2,
-5, 3}
3.
4.
5.
6.