1.6 Chapter Review
Review Exercises
Use Place Value with Whole Number
In the following exercises find the place value of each digit.
| 1. 26,915
a) 1 |
2. 359,417 a) 9 |
|
3. 58,129,304 a) 5 |
4. 9,430,286,157 a) 6 |
In the following exercises, name each number.
| 5. 6,104 | 6. 493,068 |
| 7. 3,975,284 | 8. 85,620,435 |
In the following exercises, write each number as a whole number using digits.
| 9. three hundred fifteen | 10. sixty-five thousand, nine hundred twelve |
| 11. ninety million, four hundred twenty-five thousand, sixteen | 12. one billion, forty-three million, nine hundred twenty-two thousand, three hundred eleven |
In the following exercises, round to the indicated place value.
|
Round to the nearest ten. 13. a) 407 b) 8,564 |
Round to the nearest hundred. 14. a) 25,846 b) 25,864 |
In the following exercises, round each number to the nearest a) hundred b) thousand c) ten thousand.
| 15. 864,951 | 16. 3,972,849 |
Identify Multiples and Factors
In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10
| 17. 168 | 18. 264 |
| 19. 375 | 20. 750 |
| 21. 1430 | 22. 1080 |
Find Prime Factorizations and Least Common Multiples
In the following exercises, find the prime factorization.
| 23. 420 | 24. 115 |
| 25. 225 | 26. 2475 |
| 27. 1560 | 28. 56 |
| 29. 72 | 30. 168 |
| 31. 252 | 32. 391 |
In the following exercises, find the least common multiple of the following numbers using the multiples method.
| 33. 6,15 | 34. 60, 75 |
In the following exercises, find the least common multiple of the following numbers using the prime factors method.
| 35. 24, 30 | 36. 70, 84 |
Use Variables and Algebraic Symbols
In the following exercises, translate the following from algebra to English.
| 37. 25 – 7 | 38. 5 · 6 |
| 39. 45 ÷ 5 | 40. x + 8 |
| 41. 42 ≥ 27 | 42. 3n = 24 |
| 43. 3 ≤ 20 ÷ 4 | 44. a ≠ 7 · 4 |
In the following exercises, determine if each is an expression or an equation.
| 45. 6 · 3 + 5 | 46. y – 8 = 32 |
Simplify Expressions Using the Order of Operations
In the following exercises, simplify each expression.
| 47. 35 | 48. 108 |
In the following exercises, simplify
| 49. 6 + 10/2 + 2 | 50. 9 + 12/3 + 4 |
| 51. 20 ÷ (4 + 6) · 5 | 52. 33 · (3 + 8) · 2 |
| 53. 42 +52 | 54. (4 + 5)2 |
Evaluate an Expression
In the following exercises, evaluate the following expressions.
| 55. 9x + 7 when x = 3 | 56. 5x – 4 when x = 6 |
| 57. x4 when x = 3 | 58. 3x when x = 3 |
| 59. x2 + 5x – 8 when x = 6 | 60. 2x + 4y – 5 when x = 7, y = 8 |
Simplify Expressions by Combining Like Terms
In the following exercises, identify the coefficient of each term.
| 61. 12n | 62. 9x2 |
In the following exercises, identify the like terms.
| 63. 3n, n2, 12, 12p2, 3, 3n2 | 64. 5, 18r2, 9s, 9r, 5r2, 5s |
In the following exercises, identify the terms in each expression.
| 65. 11x2 + 3x + 6 | 66. 22y3 + y + 15 |
In the following exercises, simplify the following expressions by combining like terms.
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