Skill Answers and Solutions

Skill 1 (page 27)

Find the Main Idea in a Sentence in the Passage

1. A

2. A or E can be correct answers as they both convey the same general idea.

Skill 2 (page 29)

Choose the Best Summary Statement of the Main Idea

1. C

2. D

3. B

Skill 3 (page 31)

Identify the Best Title

1. Possible Answers: “Winning Hispanic Athletes,” “Hispanic Winners,” “Hispanics in Sports.”

2. Possible Answers: “Patriotic Music,” “Military Music,” “Patriotism through Music.”

Skill 4 (page 33)

Focus on Facts and Details

1. D

2. D

3. A

4. B

Skill 5 (page 35)

Draw Conclusions

1. B

2. A

Skill 6 (page 37)

Identify the Feeling or Mood of the Passage

1. D

2. Here are some words you should have circled: wrong, strange, sinister, dimly subtle aura of brooding evil, amazement, a moon weirdly different, baleful green, glowing with a stark malignant fire like that which lurks in the blazing heart of a giant emerald, glow of the intense green rays, desolate eerie beauty.

3. A

4. Here are some words you should have circled: dimpled face, shines like sweet oil, warm firelight, unbroken smile of fun, good humor, fills one’s heart with sunshine,

Skill 7 (page 39)

Focus on the Order of Events

1. A

2. I was worried about scoring well on my history test. I found a comfortable place to study and settled in for a long session. Opening my history book to Chapter 12, I started reading. I underlined the important points. After a few hours, I tested my knowledge of dates and people in the Civil War.

Skill 8 (page 41)

Identify the Author’s Purpose

1. B; C is a good answer, but not the best one.

2. D

3. Here are some words you could have circled: nerves were on edge, smell of ammonia, faintest of sounds, motion somewhere behind him, muscles were tensing, flung himself wildly, big and dark, slapped heavily down.

Skill 9 (page 43)

Distinguish between Facts and Opinions

1. 1. opinion 2. fact 3. fact 4. opinion

2. 1. opinion 2. fact 3. fact 4. fact 5. opinion

3. 1. opinion 2. fact 3. fact 4. fact

Skill 10 (page 45)

Paraphrase to Understand What You Are Reading

1. Possible Paraphrase: Architects are focusing on the pinecone as an example of a material that responds to heat and cold. When the temperature is cold, the pinecone remains tightly closed. When it is warm, it opens to let go it its seeds. This idea can be used to control temperature in a house.

2. Possible Paraphrase: On Suspension Day, October 14, banking was stopped. This was in response to the decreasing public faith in the banking systems and financial institutions. The hardest hit areas were in the East, where many banks closed in larger cities like New York, Baltimore and Philadelphia.

Skill 11 (page 47)

Compare and Contrast

1.

Skill 12 (page 49)

Make Inferences

1. A

2. B

Skill 13 (page 51)

Use Context Clues to Understand Unfamiliar Words

1. B

2. B

3. C

4. D

5. C

6. A

Skill 14 (page 53)

Know Root Words

1. cardiologist (heart doctor); cardiac (relating to the heart) cardiopulmonary (pertaining to the heart and lungs); cardiology (study of the heart)

2. chronological (in order of time); chronic (lasting a long time); synchronize (happening at the same time)

3. incline (a surface that leans or slopes); recline (lean back)

4. incognito (disguised so no one knows you); recognize (to discover that you know someone or something)

5. bicycle (a two-wheeled vehicle); cycle (something that is repeated); cyclone (a storm with circling winds)

6. dental (relating to teeth); dentist (tooth doctor)

7. geography (study of the Earth’s surface); geology (study of the structure of the Earth)

8. international (involving two or more countries); intersection (place where roads come together); intermurals (contest between two teams from different organizations)

9. illuminate (fill with light); luminous (radiating or reflecting light)

10. microbe (very small living thing); microchip (a tiny computer wafer); microscope (a device to see very small things)

11. omnipotent (having all the power); omniscient (knowing all things); omnivorous (eating all foods)

12. podiatrist (foot doctor); podium (small platform to stand on); tripod (a stand with three legs)

Skill 15 (page 56)

Recognize Prefixes and Their Meanings

Skill 16 (page 60)

Recognize Suffixes and Their Meanings

Skill 17 (page 63)

Identify Synonyms—Part 1

1. A

2. A

3. D

4. B

5. D

6. A

7. D

8. A

9. C

10. B

11. A

12. A

13. D

14. C

15. A

16. B

17. D

18. B

19. C

20. A

Skill 18 (page 67)

Identify Synonyms—Part 2

Skill 19 (page 71)

Build Your Vocabulary

Skill 20 (page 75)

Know (No) Homonyms

1. A

2. B

3. B

4. A

5. B

6. A

7. B

8. A

9. B

10. B

11. B

12. B

13. A

14. B

15. B

16. A

17. A

18. B

19. A

20. B

21. A

22. B

23. A

24. A

25. A

Skill 21 (page 79)

Know Antonyms

Skill 22 (page 80)

Watch for Words That Are Often Confused

1. B

2. A

3. B

4. A

5. A

6. B

7. B

8. B

9. A

10. B

11. A

12. A

13. B

14. A

15. C

Skill 23 (page 82)

Add and Subtract Accurately

1. 12

2. 15

3. 12

4. 17

5. 29

6. 31

7. 95

8. 106

9. 613

10. 1,887

11. 1,459

12. 2,241

13. 16

14. 129

15. 1,548

16. 25

17. 32

18. 1,354

19. 178

20. 1,112

21. 1,127

22. 1,151

23. 1,478

24. 2,809

25. 16,606

26. 12,305

27. 20,394

28. 6,695

29. 5

30. 6

31. 72

32. 200

33. 404

34. 700

35. 309

36. 11

37. 1,819

38. 611

39. 1,790

40. 8,775

Skill 24 (page 84)

Multiply Whole Numbers

1. 36

2. 56

3. 64

4. 72

5. 69

6. 264

7. 615

8. 1,476

9. 4,606

10. 144,243

11. 132

12. 7,722

13. 204,761

14. 247,604

15. 12,799,807

Skill 25 (page 86)

Divide Whole Numbers

1. 56

2. 25

3. 45

4. 5

5. 46

6. 222

7. 37

8. 897

9. 22

10. 468

11. 456

12. 13.6

13. 33.33

14. 40.75

15. 27

16. 111.75

17. 204

18. 116.17

19. 185.33

20. 2,739

21. 689

22. 914

23. 49

24. 24

25. 31

26. 247

27. 16

28. 19

29. 17

30. 941

Skill 26 (page 89)

Work with Positive and Negative Numbers

1. −15

2. −87

3. −9,998

4. 297

5. −24

6. −348

7. 18

8. 1,455

9. −27

10. −148

11. −22

12. 22

13. −25

14. −500

15. −500

Skill 27 (page 91)

Know Place Values and How to Round

1. 356,890

2. 100,000.5

3. 845,000

4. 234,592,000

5. 234,590,000

6. 235,000,000

7. 557,456.1

8. 557,500

9. 455.9

10. 455.88

Skill 28 (page 93)

Order Your Operations

1. 100

2. 19.75

3. 12

4. 30

5. 2

6. 144 + 18 = 162

7. 196 + 9 = 205

8. 8 + 3 − 10 = 1

9. 16 − 9 + 3 = 10

10. 4 + 4 − 13 = −5

11. 125 − 4 − 15 + 14 = 120

12. (4 + 16 − 10)² = 10² = 100

Skill 29 (page 95)

Use Fractions and Decimals

5. 0.25

6. 0.33

7. 0.0625

8. 0.05

Skill 30 (page 97)

Understand Mixed Numbers

Skill 31 (page 99)

Add and Subtract Fractions, Mixed Numbers, and Decimals

6. 99.86

7. 33.46

10. 958.47

11. 4,484.32711

12. 38.287423

13. 0.06032

14. 0.065

Skill 32 (page 101)

Multiply and Divide Fractions, Mixed Numbers, and Decimals

3. 35.19

6. 1.38

8. 16.56

10. 102.87

11. 1.57

12. 3627.164

Skill 33 (page 103)

Convert between Percents, Fractions, and Decimals

1. 0.33

2. 0.625

6. 80%

7. 87.5%

8. 120%

Skill 34 (page 105)

Use Exponents and Roots

1. 16

2. 256

3. 12 or −12

4. 12 or −12

5. 7

6. 36

7. 27

8. 9

9. 9

10. 24 or −24

Skill 35 (page 107)

Use Scientific Notation

1. 6,770,000

2. 0.00000677

3. 8.77 × 10⁻⁶

4. 8.77 × 10⁻¹²

5. 1.233344 × 10²¹

6. 6.6 × 10¹⁵

7. 2.0 × 10²

Skill 36 (page 109)

Identify and Understand the Mean, Median, and Mode

1. 500 ÷ 10 = 50

2. 967 ÷ 11 = 87.9

3. 82

4. (82 + 76) ÷ 2 = 79

5. 50

6. 50 and 76

Skill 37 (page 112)

Interpret Charts and Graphs

1. 74

2. Sal

3. 300

4. About 29%

5. 91

6. Weeks 5 and 10

7. 50

8. B

9. D

Skill 38 (page 117)

Understand and Solve Equations

1. 5x = 25; x = 5

2. 7x = 49; x = 7

3. 40x = 1200; x = 30

5. 9y − 3y = 24; 6y = 24; y = 4

7. x² + 10x + 21

8. j² + 4j − 12

9. (c + 10)(c − 2)

10. (g − 8)(g + 2)

Skill 39 (page 119)

Calculate Simple and Compound Interest

1. $1500 × 0.025 = $37.50; balance will be $1,537.50.

2. Year 1: $2,200 × 0.03 = $66

Year 2: $2,266 × 0.03 = $67.98

Year 3: $2,333.98 × 0.03 = $70.02

Year 4: $2,404 × 0.03 = $72.12 = $2,476.12

3. Year 5

Skill 40 (page 121)

Use Ratio and Proportion to Solve Problems

3. Change hours into minutes; 2 hours = 120 minutes and then set up the proportion.

5. 6.5 hours × 14 = 91 crates

Skill 41 (page 123)

Calculate Distance, Rate, and Time

1. 125 miles/hour × 8.75 hours = 1,093.75 miles

2. 68 ÷ 45 = 1.51 hours

3. 384,403 km ÷ 5 days = 76,880.6 km/day ÷ 24 = 3,203.36 km/hr

4. 14 × 45 = 630 miles

5. 2790 miles ÷ 55 = 50.73 miles/day

Skill 42 (page 125)

Determine Change and Percent Change

4. 2,500,000 ÷ 500,000 = 0.2 = 20%

5. $1700 × 0.30 = $510; $1700 − $510 = $1190

6. 25 ft × 0.40 = 10 ft; 25 ft + 10 ft = 35 ft.

Skill 43 (page 127)

Calculate the Probability of an Event

1. There are 1,000 possible outcomes. Rock + Country = 590 positive outcomes, so

Skill 44 (page 130)

Analyze Lines and Angles

1. 68°

2. 128°

3. ABE = 73° ABC = 107°

4. LMY = 50° so JMG = 50°

5. 140°

6. 140°

7. 40°

8. 40°

Skill 45 (page 135)

Understand the Characteristics of Triangles

1. x is 105°, so side c is the longest.

2. 75°

3. c² = 130 or c is about 11.4 cm

Skill 46 (page 138)

Know the Characteristics of Quadrilaterals

1. All the angles measure 90°.

2. 34 + 34 = 68; 360 − 68 = 292; of 292 = 146, so angle b measures 146°.

3. C

4. 55°

5. 90°

Skill 47 (page 141)

Calculate the Perimeter of Polygons

1. 4.3 + 4.3 + 1.7 + 1.7 = 12 m at $10 = $120

2. 2 sides of 10 ft = 10 × 12 in = 120 in × 2 sides = 240 in

2 sides of 13 ft 6 in = 13 × 12 in = 156 in + 6 in = 162 in × 2 = 324 in

Total Amount = 240 in + 324 in = 564 in of molding.

Skill 48 (page 144)

Calculate the Area of Polygons

1. 12 × 20 = 240 ft². 240 ÷ 200 = 1.2 gallons of paint

3. 150 ft²

4. 56 × 16 = 896 m²

5. 896 ÷ 4 = 224 m²/hr

6. 14 × 28 = 392 ft²

7. 392 ÷ 4 = 98 ft²/hr

8. 32 m²

9. 6 × 32 = 192 plants

10. 5 ft × 6 ft = 30 ft²

11. 7 ft × 8 ft = 56 ft²

Skill 49 (page 147)

Calculate the Volume and Surface Area of Solids

1. 6 × 18 × 9 = 972 in³; 972 in³ ÷ 512 = 1.898 or about 1.9 gallons of water.

2. 36 in × 18 in × 24 in = 15,552 in³. If you got this wrong, did you change 1 yd to 36 in?

3. 9 in × 11 in × 24 in = 2,376 in³.

4. This is a question on surface area using Surface Area = 2(lh) + 2(lw) + 2(wh). So 2(6 × 8) + 2(6 × 12) + 2(8 × 12) = 2(48) + 2(72) + 2(96) = 96 + 144 + 192 = 432 cm².

5. 960 cubic feet

Skill 50 (page 149)

Calculate the Measures of a Circle, a Sphere, or a Cylinder

1. If the radius is 0.25 miles, the diameter is 0.5 miles. The circumference is 3.14 × 0.5 = 1.57 miles. Four times around is 6.28 miles.

2. The diameter is 14, so the radius is 7. Using the formula for area, 3.14 × (7)² = 3.14 (49) = 153.86 sq ft or 153.86 ft².

3. The diameter is 8 in, so the radius is 4. The formula is for a single balloon. Multiply by 10 = 2,679.5 in³ for all 10 balloons.

4. V = 3.14 (2)² × 16 = 3.14 × 4 × 16 = 201 in³.