COMPLETE ANSWER KEY FOR BOOK 1 & 2
KEY TO CORRECTION SECTION 1: PRE-REVIEW TEST
1. irrational 2. irrational 3. integer & rational 4. imaginary 5. rational 6. 7. 8. 9. 10. 11. 9,200,000 12. 6,100 13. 48,000,000 14. 0.000 027 15. 0.000 000 008 1 16. 28 17. -17 18. 17 19. -99 20. -72 21. 13, 3, 3 22. 19, 5 23. 2, 2, 2, 2, 3 24. 2, 7, 3, 3 25. 19, 2,2
Exercise 1:
1. 2. 3. 4. 5.
Rational Irrational Integer, whole & rational Imaginary Integer, whole, counting & rational
Exercise 2:
1. 2. 3. 4. 5. 6. 7. 8.
1 3 21 24 -44 6 24 -11
9. 9 10. -98 Exercise 3:
1. -6 2. -24 3. 86
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Page 1
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
4. 113 5. -157 6. -267 7. 232 8. -335 9. 180 10. -172 SECTION 1: POST-REVIEW TEST
1. Integer & rational 2. Imaginary 3. Irrational 4. Irrational 5. Rational 6. 7. 8. 9. 10. 11. 4,500,000 12. 7,100 13. 18,000,000 14. 0.000 037 15. 0.000 000 005 1 16. 30 17. -1,086 18. 23 19. -160 20. -68 21. 2, 2, 2, 2, 2, 2, 2 or 22. 43, 2 23. 2, 2, 17 or , 17 24. 2, 2, 2, 2, 2, 5 or , 5 25. 47, 2
SECTION 2: PRE-REVIEW TEST
1. 12 2. -42 3. -17 4. -34 5. 86 6. 20 7. 22 8. 0 9. 79 10. 4x+15 11. 150 12. 98 13. 230 14. 214 15. 125 16. 3,600,000 17. 580,000 EXCEL! TUTORIALS
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COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
18. 9,300,000 20. 16.51 21. 1.0668 22. 1,512 23. 13.2 24. 7.92 25.2,500,000,000 Exercise 4:
1. 3 2. 42 3. 5 4. 37 5. 25 6. 56 7. 120 8. 114 9. 110 10. 85 Exercise 5:
1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
100 10 30 60 11 24 3,650 365 1 99,500,000
SECTION 2: POST-REVIEW TEST
1. -52 2. 3 3. 2 4. 42 5. –x + 15 6. 4 7. -18 8. 10 9. 30 10. 56 11. 107 12. 89 13. 145 14. 213 15. 134 16. 3.6 17. 5.8 EXCEL! TUTORIALS
3
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
18. 9.3 19. -9.3 20. 6.5 21. 94.488 22. 63 days 23. 6 24. 3,600 25. 0.0025 SECTION 3: PRE-REVIEW TEST
1. 780 2. 448
3. 3 4. 5. 6. 7. 8. 9.
33.75 187.5 22.5 288
10. 3,923
11. 240,000 12. 12.5% 13. 110,000
15. 50% 16. 24 14. 47
17. 16,000 18. 10% 19. 6,200 20. 10 Exercise 6:
1 2
1. 1 2. 3. 4. 5. 6. 7. 8. 9. 10.
0.88 85.7% 150 100 25
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4
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
SECTION 3: POST-REVIEW TEST
1. 80,000 2. 75 3. 600,000
5. 55% 6. 35 4. 118
7. 9,000 8. 30% 9. 20,000 10. 30 11. 2,400 12. 3,000
13.
6
14. 15. 16. 17.
280 20,000 20% 697.5
18.
27
19. 20.
200 8,176
SECTION 4:PRE-REVIEW TEST
1. 150 2. 77 3. 12 4. 15 5. 40 6. 12 7. 9 8. 9,000 9. 72 10. 330 11. 24 12.
13. 120 14. 3
15. 18 16. 6 17. 22.5 18.
19. 100 20. 5.5 Exercise 7:
1.
2. 60 EXCEL! TUTORIALS
5
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
3. 120 4. 60% 5.
SECTION 4: POST-REVIEW TEST
1. 15 2.
3. 18 4. 3.5 hours 5. 18 6. 3 7. 4.5 8. 15:4 9. 240 10. 6 or
11. 45 12. 54 13. 2 14. 8 15. 2 16. 9 17. 5 18. 225 19. 160 20. 40
Cumulative Test 1
1. 2. 3. 9,200,000 4. 48,000,000 5. -99 6. -72 7. 2,7,3,3 8. 2, 2, 2, 2, 2, 5 9. 3 10. 65 11. 42 12. – x + 15 13. 30 14. 108 15. 87 16. 144 17. 214 18. 135 19. 850,000 20. 37,000 21. 2.56 22. 0.1524 23. 131.82 24. 96 25. 3 26. 9:20 27. 120 million 28. 7
EXCEL! TUTORIALS
6
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
29. 75 30. 62.5%
31. 66 inches 32. 3.75 33. 3:14
34. 3 35. 36. 37. 38.
225,000 6.25% 20% 8,000
39. 88
40. 70% 41. 60 42. P2,700 43. 5 44. 45. 46. 47. 48. 49. 50.
17% 75 16 80 12 insects 3 36
SECTION 5:PRE-REVIEW TEST
1. 83 2. 40 3. 30 4. 1,275 5. 13 6. 34 7. 8 8. 45 9. 182 10. 45 11. 1,368 12. 120 13. 20 14. 595 15. 46% 16. 12% or 17. 480 18. 74% 19. 15 20. 90
Exercise 8:
1. 2. 3. 4.
720 65 420 28
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7
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
5. 50 SECTION 5: POST-REVIEW TEST
1. 100 2. 50% 3. 200% 4. 7 5. 50 6. 5 7. 126 8. 36 9. 623 10. 60% 11. 8 12. 2 13. 42 14. 285 15. 7.5 16. 2,520 17. 83 18. 35 19. 13.5 20. 1,080 SECTION 6: PRE-REVIEW TEST
1. 30%, 2. 3. 4. 5.
5P5,
, or 0.3
5! or 120 3C5 or 10 3P5 or 60
6. 7. 8. 12C2 15C3 9. 10. 11. 12. 13. 14. 4! Or 24 15. 60,
16. 0.2 17. 0.2 18. 0.5 , 0.027 19. , 0.657 20.
Exercise 9:
1. 24 2. 210 3. 720
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COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
4. 5.
SECTION 6: POST-REVIEW TEST
1. 2. 3. 4. 5.
7! or 5040 120 0.3 0.6 0.25
6. 10% 7. 0.6 8.
9. 3C7 0r 35 10. 12C4 or 495 11. 12P3 12.
13. 14. or 1,020 15. 16. 17. 18. 19. 20.
Cumulative Test 2
1. 9,000,000 2. D 3.
4. 12 5. 3 6. 294 7. 7 8. 60 9. 6 10. 360 11. 56 12. 156 13.
or 37.5%
14. ½ or 0.5 or 50% 15. 0.25 or 25% 16. 3,600 17. 1,800 18. 20 EXCEL! TUTORIALS
9
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
19. 24 20. 11 21.
22.
800
23. 24. 25. 26. 27. 28. 29. 30. 31.
280 C 21 108 C 60% P3.60
32.
60
33. 34.
1
35. 36. 37.
20% 8%
38. 39. 40. 41. 42. 43.
A 22.5 333 12 25%
44. 45. 46. 47. 48. 49. 50.
4 12 16 1,275 13
SECTION 7:POST-REVIEW TEST
1. 2. 3.
5 y=2x+3
4.
5.
-
6. 7. 8. 9.
382.5 60° 10°
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10
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
10. Square 11. (-6, 12) 12. y = 13. 14. 15. 16. 17. 18. 19. 20.
√
-6 (8,7) 18 (7,6) x=0 -1
SECTION 8: PRE-REVIEW TEST
1. 64 2. 3. 225° 4. 60 5. 8 6. 25 7. 8. 6 9. 10. 224 11. 12. 13. 14. 32 15.
√
16. 17. 15 18. 19. 4 x 12 20. 65 Exercise 11:
1. 2. 3. 4.
5.
5 540 81 13.5
√ √
6. 7. Scalene triangle 8. 9. 64 10. 67.5 Exercise 12:
1. 2. 3. 4. 5. 6.
10 270° 9 27
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11
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
7. 8. 9. 10.
125 8 7 288 cubic units
SECTION 8: POST-REVIEW TEST
1. 27 2. 450° 3. 42 4. 80 5. 216 6. 15 7. 8. 55 9. 10. 28 11. 3 x 36 12. 4 x 16 13. 54 14. 15. 512 16. 65
17. 18. 19. 20.
√ √
Cumulative Test 3:
1. 2. 3. 4. 5.
100° -2 54° 144 -
6. 12 7. 15 8. 25 9. cm 10. 18 11. 70° 12. 4 13. 1:27 14. (7, -2) 15. 30 16. 125 17.
√ √
18. 150 19. 20. 49 21. . 22. 144 23. 208 24. 12
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COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
25. 180 26. 18 27. 36 28. 60° 29. 108 30. 5° 31. 75° 32. 81 33. 36 34. 18 35. 16in. 36. 18 37. Rectangle 38. y = 3x -1 39.
√
√
40. 175 41. 96 42. 2,304 43. 1:8 44. 27 45. 96 46. 165 47. 120 48. 49. 216 50. 2 40°
√
KEY TO CORRECTION SECTION 9: PRE-REVIEW TEST
1. 2. 3. 4. 5. 6.
√
10. 11. 12. 13. 14. 15. [ ] 7. 8. 9.
EXCEL! TUTORIALS
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COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
16. 17. 18. 19. 20.
√
Exercise 1:
1. 2. 3. 4.
√
5. 5.15 6. 7. 8. 9.
10. SECTION 9: POST-REVIEW TEST
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20.
√ √ √ ( ) (– )
f=4t
SECTION 10: PRE-REVIEW TEST
1. 11 EXCEL! TUTORIALS
14
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
2.
3. 8 4. 65% 5. 300 miles 6. 120, 122 &124 7. 3 hours 8. 2.25 9. 600 10. 7 days 11. 8 12. 20 13. 50 14. 23&25 15. 105 16. 37-mother, 27 years 17. 16.8 meters 18. 68 & 70 19. 29 20. 2 hours Exercise 2:
1. 2. 3. 4. 5.
23 &25 Renz-17 & Mr. Blanco-44 38 24 28 & 30
Exercise 3:
1. 2. 3. 4. 5.
7.5 10 mph 3 7.5 6
Exercise 4:
1. 2. 3. 4. 5.
45 20 8 x=12 mph & y=3mph 24=x
SECTION 10: POST-REVIEW TEST
1. 2. 3. 4. 5. 6. 7.
4 4 hours 14 65% 60 km/h 35, 37, 39 Regie-72 km/h & Charles-60km/h
EXCEL! TUTORIALS
15
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
8.
9. 10 10. 8 11. 6 12. 20 13. 53 14. -9, -8 & -7 15. 16. 13 17. 13.5 18. 22 19. 35 20. 3 hours
CUMULATIVE TEST 1
1. P5,231.25 2.
3. 4. 5. 6. 7. 8. 9. 10.
ounces of salt
2,318 8 + J= 22 2,304 1,950 57
11. 14 12. 20 13.
14. 360° 15.
16. 17. 5 weeks 18. 6 19. 10 20.
21. 8,250 22. 1,020 23. 32 24.
25. 26. 22.5 27. 213,000 28. 24 29. 4 30. 8 31.
32. 107,500 33. 11:30 am
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COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
34. 28 35. 96 36.
37. 36 38. or 12% 39. a – 14b 40. 41. 35 mph 42. 40 43. y=x+4 44. 280 45. 90 46. 4 47. 3 48.
49. 25% 50. 640 SECTION 11: PRE-REVIEW TEST
1. b 2. 72 3. 4. 6 5. 1,024,000 6. 1,792 7. 814 8. 665 9. 1,020 10. 37 11. 720 12. 13 13. 6 14. 8 15. 32 16. 375 17. 2,775 18. 20, 31 & 42 19. 46.50 20. 300
Exercise 5:
1. 2. 3. 4. 5.
162 71 1,407 71 4,900
Exercise 6:
1. 656,100 EXCEL! TUTORIALS
17
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
2. 3. 4. 5.
972 200 12 729
SECTION 11: POST-REVIEW TEST
1. 84 2. 3.
4. 3,375 5. 486 6. 930 7. 1,290 8. 29,523 9. 44 10. 1,260 11. 28 12. 12,663.605 13.
14. 21 15. 256 16. 2,800 17. 24, 37, 50 & 63 18. P4,498 19. 600 20. 384
SECTION 12: PRE-REVIEW TEST
2. 3. x = 3, x = 7 4. √ 5. 6. 7. 8. 9. 10. 11. 12. 13. 1.
14. 4b=c 15.
16.
17. b 18.
EXCEL! TUTORIALS
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COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
20. 19.
Exercise 7:
1. A =RS 2.
3. 4. 5. 6. 7. 8. 9. 10.
SECTION 12: POST-REVIEW TEST
1. 2. 3. 4.
5. 1 = a 6. x = 13 7. x = 98 8. x = 1 9. 10.
11.
12. 13. 14. a = 1 15. x = 10 16. 17. 18. 3,125 √ 19. 20.
CUMULATIVE TEST 2:
1.
2. 3. 188
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COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
4.
years
5. 6. 145 7. 69 8. 10! 9.
10.
11. x = 5 12. x = 30 13. x = 9 14.
15. 16. 200 17. 24 18. 80 19. 8 20. n = 5 21. 972 22. 6,200 23. 128 24. 117 25. 5,120 26.
27.
28. 242 29. 87 30.
31. x= 2, x = -1 32. x = 21 33. truck -45 mph & car- 50 mph 34. 88,500 35. 3,150 √ 36.
37. 38. 39. 40.
41. 42. 43.
44.
45. 46. 405 47. 15 48. x = -12, x = 9 49. 300 days 50. 36
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COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
SECTION 13: PRE-REVIEW TEST
1. c 2. 3. 4. b 5. a = 5, b = -1 6. 5 7.
8.
√ √ 13. 9. 10. 11. 12. 14. 15. 16.
√
17. 18. 19.
20. Exercise 8:
1.
√
2. 3. x = -10, x = 0 4.
5. real, rational & equal
√ 7. 8. 9. 10. 6.
SECTION 13: POST-REVIEW TEST
1. 2. 3. 4. 5.
EXCEL! TUTORIALS
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COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
6.
7. 3x+1
9. 10. √ 8.
11. -421 12. 13. -13 14. 330 15. 16. 17.
18. 19.
20.
SECTION 14: PRE-REVIEW TEST
1. 2.
√
3. 4. 5. 6. x = -1 7. 8. x = 4 9. 10. 11. 12.
√ √ √
13.
(√ )
√
14. 15. x = 2
√ 17. 3 18. 19. 20. √ 16.
Exercise 9:
1. 2. 3.
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COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
√ √
4. 5. 6.
√ √
7. 8. 9. 6 10.
SECTION 14: POST-REVIEW TEST
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20.
0
10 √ √ √ x=8
√ x=6 x = 10
√ √ √
3 1
√
–
(√ √ )
CUMULATIVE TEST 3:
1. 105 2. 32 3. x = 1 4. 5.
6. 5 7. 5xy 8.
9. 10. 20 11.
12. EXCEL! TUTORIALS
23
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
13. x = 0 14. 4, 12, 36, 108, 324 15. 540 16.
17. 120° 18. 500 19. 2x-3y=11 20. x = 10 21. 24 22.
√ 23. 24. 25. 26. 34 27. 8 28.
29. 780 30. a = 15, 1 31.
32. 43 33. 34. 35. 2,
36. x = 4 37. domain, range38. 4 = x 39. 24 = x 40. 5a + 4b + 8c 41. domain: , range: 42. 43.
44. -6x – 2 √ √ 45.
46. 47.
48. 224 49. 15 50. SECTION 15: PRE-REVIEW TEST
1. the center of the circle is at 2. 3. c 4. the center of a circle is at 5. 6.
EXCEL! TUTORIALS
and its radius is 3
and its radius is 4 24
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
and a radius is 6
7. the circle has vertex at 8. vertex at 9. hyperbola 10. right Exercise 10:
1. the center of the circle is at and its radius is 5 2. the radius of the circle is 6 3. 10 4. the center of the circle is and its radius is 4 5. the center of the circle is at and its radius is 3 6. the parabola opens downward (3, -2) 7. d 8. leftward 9. hyperbola 10. the vertex is at
SECTION 15: POST-REVIEW TEST
1. c 2. 3. 10 4. the vertex of a circle is and its radius is 5 5. 12 6. circle 7. hyperbola 8. vertex is at 9. vertex is at 10. vertex is at and it opens downward
SECTION 16: PRE-REVIEW TEST
1. 20 2.
3. 4. x = 2, y = 3 5. 3 6.
7.
√ √ √
8. 9. x = 5 10.
11. a = 4
√ 13. 12.
√ 15. 14.
EXCEL! TUTORIALS
25
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
16. 17.
18. a = 16 19.
20. 4
Exercise 11:
1. v = 6 2.
3. x = 3 4.
√ √ √
5. 6.
7. y = 3, x = 0 8. 7 9. w = 3 10. f = -1
SECTION 16: POST-REVIEW TEST
√
1. 2.
3. 4. b = 5 & a = 0 5. 210° 6. t = 3 7.
8. 9. 10 = s 10. -10 11. 15 = y 12. x – y 13.
√ 14. 15. 20 ft 16.
17. x = 3 18.
19. a = 6 20. x = 1
CUMULATIVE TEST 4:
1.
2. 9 3.
EXCEL! TUTORIALS
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COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
4. 5. 6. 7. 8.
30 360 210 the vertex of a parabola is at
9. 25 10. d 11. 1,080° 12.
13. rightwards 14. 15 15. 80° 16. the circle’s vertex 17.
18. the vertex is at 19. (-7, 8)
is at
and its radius is 1
21. 22. 23. 24.
20. kph or 0.375kph
25. 26. 27. 408 28.
29. 0.3 30. 0.2 31. 0.4 32. 0.5 33. 34. 35. 6b - a 36.
√ √ √
√ 37.
38. 3 39. x = 2 40. domain;
√ 41.
, Range:
42. x = 12 mph, y = 3 43. 3 44. 50 45. a = 5 46. 47. -32 48.
49.
50. 10
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COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS
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