complete answer key for mathematics
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COMPLETE ANSWER KEY FOR BOOK 1 & 2
www.excelreviews.com Page 1
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. Rational 2. Irrational 3. Integer, whole & rational 4. Imaginary 5. Integer, whole, counting & rational
Exercise 2: 1. 1 2. 3 3. 21 4. 24 5. -44 6. 6 7. 24 8. -11
9. 9 10. -98 Exercise 3: 1. -6 2. -24 3. 86
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 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
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 3
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. 100 2. 10 3. 30 4. 60 5. 11 6. 24 7. 3,650 8. 365 9. 1 10. 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
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 4
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. 33.75 7. 187.5 8. 22.5 9. 288
10. 3,923
11. 240,000 12. 12.5% 13. 110,000
14. 47
15. 50%
16. 24
17. 16,000
18. 10%
19. 6,200
20. 10
Exercise 6:
1. 1
2. 1
3.
4. 2
5.
6. 0.88 7. 85.7% 8. 150 9. 100 10. 25
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 5
SECTION 3: POST-REVIEW TEST
1. 80,000 2. 75 3. 600,000
4. 118
5. 55%
6. 35
7. 9,000 8. 30% 9. 20,000 10. 30 11. 2,400 12. 3,000
13. 6
14. 280 15. 20,000 16. 20% 17. 697.5
18. 27
19. 200 20. 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
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 6
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
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 7
29. 75 30. 62.5%
31. 66
inches
32. 3.75 33. 3:14
34. 3
35. 225,000 36. 6.25% 37. 20% 38. 8,000
39. 88
40. 70% 41. 60 42. P2,700
43. 5
44. 17% 45. 75 46. 16 47. 80 48. 12 insects 49. 3 50. 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. 720 2. 65 3. 420 4. 28
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 8
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%,
, or 0.3
2. 5P5, 5! or 120 3. 3C5 or 10 4. 3P5 or 60
5.
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
19. , 0.027
20. , 0.657
Exercise 9: 1. 24 2. 210 3. 720
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 9
4.
5.
SECTION 6: POST-REVIEW TEST
1. 7! or 5040 2. 120 3. 0.3 4. 0.6 5. 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
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 10
19. 24 20. 11
21.
22. 800
23.
24.
25. 280 26. C 27. 21 28. 108 29. C 30. 60% 31. P3.60
32.
33. 60
34. 1
35.
36. 20% 37. 8%
38.
39. A 40. 22.5 41. 333 42. 12 43. 25%
44.
45.
46. 4 47. 12 48. 16 49. 1,275 50. 13
SECTION 7:POST-REVIEW TEST
1.
2. 5 3. y=2x+3
4.
5. -
6. 382.5 7. 60° 8. 10°
9.
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 11
10. Square 11. (-6, 12)
12. y =
13. √
14. 15. -6 16. (8,7) 17. 18 18. (7,6) 19. x = 0 20. -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. 5
2. 540
3. 81
4. 13.5
5.
6. √ 7. Scalene triangle
8. √ 9. 64
10. 67.5
Exercise 12: 1. 10 2. 270° 3. 9
4. 27
5.
6.
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 12
7. 125 8. 8 9. 7 10. 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. 100° 2. -2 3. 54°
4. 144
5. -
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
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 13
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. 240°
KEY TO CORRECTION
SECTION 9: PRE-REVIEW TEST
1.
2. √
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13. (
)
14.
15. [ ]
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 14
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. f=4t 20.
SECTION 10: PRE-REVIEW TEST
1. 11
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 15
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. 23 &25 2. Renz-17 & Mr. Blanco-44 3. 38 4. 24 5. 28 & 30
Exercise 3:
1. 7.5 2. 10 mph 3. 3 4. 7.5 5. 6
Exercise 4:
1. 45 2. 20 3. 8 4. x=12 mph & y=3mph 5. 24=x
SECTION 10: POST-REVIEW TEST
1. 4 2. 4 hours 3. 14 4. 65% 5. 60 km/h 6. 35, 37, 39 7. Regie-72 km/h & Charles-60km/h
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 16
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.
ounces of salt
4. 5. 2,318 6. 8 + J= 22 7. 2,304 8. 1,950 9. 57
10.
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
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 17
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. 162 2. 71 3. 1,407 4. 71 5. 4,900
Exercise 6:
1. 656,100
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 18
2. 972 3. 200 4. 12 5. 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
1.
2. 3. x = 3, x = 7
4. √
5.
6.
7.
8.
9.
10.
11.
12. 13. 14. 4b=c
15.
16. 17. b
18.
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 19
19.
20.
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
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 20
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
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 21
SECTION 13: PRE-REVIEW TEST
1. c
2.
3. 4. b 5. a = 5, b = -1 6. 5
7.
8.
9. √
10. √
11.
12.
13.
14.
15.
16. √
17.
18.
19.
20.
Exercise 8:
1.
2. √ 3. x = -10, x = 0
4.
5. real, rational & equal
6. √
7.
8.
9. -
10.
SECTION 13: POST-REVIEW TEST
1.
2.
3. 4.
5.
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 22
6.
7. 3x+1
8.
9.
10. √ 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
16. √
17. 3
18.
19.
20. √
Exercise 9:
1.
2.
3.
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 23
4.
5. √
6. √
7. √ √
8. 9. 6
10.
SECTION 14: POST-REVIEW TEST
1. 0
2.
3. √
4. 10
5.
6. √
√
7. √ 8. x = 8 9.
10. √
11. 12. x = 6 13. x = 10
14. √
15. ( √
√
)
16. 3 17. 1
18. √
19. –
20. (√ √ )
CUMULATIVE TEST 3:
1. 105 2. 32 3. x = 1
4.
5.
6. 5 7. 5xy
8.
9. 10. 20
11.
12.
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 24
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- , range- 38. 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 and its radius is 3
2. 3. c
4. the center of a circle is at and its radius is 4 5. 6.
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 25
7. the circle has vertex at and a radius is 6 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
12. √
13. 14.
15. √
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 26
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.
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 27
4. 30 5. 360 6. 210 7. the vertex of a parabola is at
8.
9. 25 10. d 11. 1,080°
12.
13. rightwards 14. 15 15. 80°
16. the circle’s vertex is at
17.
18. the vertex is at and its radius is 1 19. (-7, 8)
20.
kph or 0.375kph
21.
22.
23.
24.
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; , Range:
41. √
42. x = 12 mph, y = 3 43. 3 44. 50 45. a = 5
46. 47. -32
48.
49. 50. 10
COMPLETE MATH REVIEWER FOR COLLEGE ADMISSION TESTS 2
EXCEL! TUTORIALS 28