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Questions and Answers

What does 1.2.1 a equal?

17

What does 1.2.1 b equal?

-27

What does 1.2.1 c equal?

2

What does 1.2.1 d equal?

<p>7</p> Signup and view all the answers

What does 1.2.1 e equal?

<p>16</p> Signup and view all the answers

What does 1.2.1 f equal?

<p>66</p> Signup and view all the answers

What does 1.3.1 equal?

<p>d</p> Signup and view all the answers

What does 1.3.2 a equal?

<p>-25</p> Signup and view all the answers

What does 1.3.2 b equal?

<p>1</p> Signup and view all the answers

What does 1.3.3 a equal?

<p>4/7</p> Signup and view all the answers

What does 1.3.3 b equal?

<p>97</p> Signup and view all the answers

Is 1.3.4 a true or false?

<p>yes</p> Signup and view all the answers

What does 1.4.3 a equal?

<p>4 x (22 + 4)</p> Signup and view all the answers

What does 1.4.3 b equal?

<p>4 x (100 - 8)</p> Signup and view all the answers

What does 1.4.3 c equal?

<p>4 x (-6 + 4 + 18)</p> Signup and view all the answers

What does 1.4.3 d equal?

<p>4 x (23 - 40 + 9)</p> Signup and view all the answers

What does 1.4.4 equal?

<p>16</p> Signup and view all the answers

What does 1.4.5 a equal?

<p>6</p> Signup and view all the answers

What does 1.4.5 b equal?

<p>8/9</p> Signup and view all the answers

What does 1.6.1 a equal?

<p>343</p> Signup and view all the answers

What does 1.6.1 b equal?

<p>0</p> Signup and view all the answers

What does 1.6.1 c equal?

<p>1</p> Signup and view all the answers

What does 1.6.1 d equal?

<p>-100,000</p> Signup and view all the answers

What does 1.6.1 e equal?

<p>1/125</p> Signup and view all the answers

What does 1.6.1 f equal?

<p>81</p> Signup and view all the answers

What does 1.6.2 a equal?

<p>14</p> Signup and view all the answers

What does 1.6.2 b equal?

<p>5</p> Signup and view all the answers

What does 1.6.2 c equal?

<p>21</p> Signup and view all the answers

What does 1.6.2 d equal?

<p>-2</p> Signup and view all the answers

What does 1.6.2 e equal?

<p>-1</p> Signup and view all the answers

What does 1.6.2 f equal?

<p>3</p> Signup and view all the answers

What do a and b equal in 1.6.3?

<p>a = 3; b = 10</p> Signup and view all the answers

Is 1.6.4 true or false?

<p>yes</p> Signup and view all the answers

What does 1.6.5 say about n?

<p>n is an even number</p> Signup and view all the answers

What does 1.6.6 a equal?

<p>64/5</p> Signup and view all the answers

What does 1.6.6 b equal?

<p>-8</p> Signup and view all the answers

What does 1.6.6 c equal?

<p>-5/512</p> Signup and view all the answers

What does 1.6.7 equal?

<p>1/3</p> Signup and view all the answers

What does 1.7.1 equal?

<p>4</p> Signup and view all the answers

What does 1.7.1 b equal?

<p>100</p> Signup and view all the answers

What does 1.7.1 c equal?

<p>-6</p> Signup and view all the answers

What does 1.7.1 d equal?

<p>84</p> Signup and view all the answers

What does 1.7.2 equal?

<p>0</p> Signup and view all the answers

What does 1.7.3 a equal?

<p>32</p> Signup and view all the answers

What does 1.7.3 b equal?

<p>1</p> Signup and view all the answers

What does 1.7.3 c equal?

<p>243</p> Signup and view all the answers

What does 1.7.3 d equal?

<p>1/16</p> Signup and view all the answers

Is 1.7.4 a true or false?

<p>yes</p> Signup and view all the answers

Is 1.7.4 b true or false?

<p>no</p> Signup and view all the answers

What does 1.7.5 a equal?

<p>25</p> Signup and view all the answers

What does 1.7.5 b equal?

<p>-8</p> Signup and view all the answers

What does 1.7.5 c equal?

<p>12</p> Signup and view all the answers

What does 1.7.5 d equal?

<p>200</p> Signup and view all the answers

What does 1.8.1 a equal?

<p>11</p> Signup and view all the answers

What does 1.8.1 b equal?

<p>60√10</p> Signup and view all the answers

What does 1.8.1 c equal?

<p>21 √3</p> Signup and view all the answers

What does 1.8.1 d equal?

<p>2.6</p> Signup and view all the answers

What does 1.8.1 e equal?

<p>16</p> Signup and view all the answers

What does 1.8.1 f equal?

<p>-81√3</p> Signup and view all the answers

What does 1.8.2 a equal?

<p>2 cubed root of 10</p> Signup and view all the answers

What does 1.8.2 b equal?

<p>3</p> Signup and view all the answers

What does 1.8.2 c equal?

<p>(2 fourth root of 2)/5</p> Signup and view all the answers

What does 1.8.2 d equal?

<p>-0.1</p> Signup and view all the answers

What does 1.8.2 e equal?

<p>343</p> Signup and view all the answers

What does 1.8.2 f equal?

<p>cubed root of 2</p> Signup and view all the answers

What does 1.8.4 a equal?

<p>0</p> Signup and view all the answers

What does 1.8.4 b equal?

<p>-19√15</p> Signup and view all the answers

What does 1.8.4 c equal?

<p>cubed root of 3</p> Signup and view all the answers

What does 1.8.4 d equal?

<p>3 cubed root of 4</p> Signup and view all the answers

What does 1.8.5 a equal?

<p>5/6</p> Signup and view all the answers

What does 1.8.5 b equal?

<p>19/10</p> Signup and view all the answers

What do a and b equal in 1.8.6?

<p>a = 7; b = 3</p> Signup and view all the answers

What do a and b equal in 1.8.7?

<p>a = 2; b= 6</p> Signup and view all the answers

What does 2.1.1 a equal?

<p>-5</p> Signup and view all the answers

What does 2.1.1 b equal?

<p>-9</p> Signup and view all the answers

What does 2.1.1 c equal?

<p>5</p> Signup and view all the answers

What does 2.1.1 d equal?

<p>2</p> Signup and view all the answers

What does 2.1.2 a equal?

<p>17</p> Signup and view all the answers

What does 2.1.2 b equal?

<p>6</p> Signup and view all the answers

What does 2.1.2 c equal?

<p>-44</p> Signup and view all the answers

What does 2.1.2 d equal?

<p>-4</p> Signup and view all the answers

What does 2.2.1 a equal?

<p>8x - 1</p> Signup and view all the answers

What does 2.2.1 b equal?

<p>-22x + 30</p> Signup and view all the answers

What does 2.2.2 a equal?

<p>t^7</p> Signup and view all the answers

What does 2.2.2 b equal?

<p>64x^7</p> Signup and view all the answers

What does 2.2.2 c equal?

<p>y^45</p> Signup and view all the answers

What does 2.2.2 d equal?

<p>729x^12</p> Signup and view all the answers

What does 2.2.3 a equal?

<p>p^5</p> Signup and view all the answers

Study Notes

Algebra Definitions and Values

  • 1.2.1 a is equal to 17
  • 1.2.1 b is equal to -27
  • 1.2.1 c is equal to 2
  • 1.2.1 d is equal to 7
  • 1.2.1 e is equal to 16
  • 1.2.1 f is equal to 66

More Algebra Concepts

  • 1.3.1 represents the letter d
  • 1.3.2 a is equal to -25
  • 1.3.2 b is equal to 1
  • 1.3.3 a equals 4/7
  • 1.3.3 b equals 97
  • 1.3.4 confirms the answer is yes

Multiplication and Expressions

  • 1.4.3 a is expressed as 4 x (22 + 4)
  • 1.4.3 b is expressed as 4 x (100 - 8)
  • 1.4.3 c is expressed as 4 x (-6 + 4 + 18)
  • 1.4.3 d is expressed as 4 x (23 - 40 + 9)
  • 1.4.4 equals 16
  • 1.4.5 a equals 6
  • 1.4.5 b is equal to 8/9

Roots and Powers

  • 1.6.1 a is equal to 343
  • 1.6.1 b is equal to 0
  • 1.6.1 c is equal to 1
  • 1.6.1 d is equal to -100,000
  • 1.6.1 e equals 1/125
  • 1.6.1 f equals 81
  • 1.6.2 values include: a = 14, b = 5, c = 21, d = -2, e = -1, f = 3

Variable Assignments

  • 1.6.3 assigns a = 3 and b = 10
  • 1.6.4 answer is yes
  • 1.6.5 describes n as an even number

Ratios and Fractions

  • 1.6.6 a equals 64/5
  • 1.6.6 b equals -8
  • 1.6.6 c equals -5/512
  • 1.6.7 equals 1/3

Further Facts and Figures

  • 1.7.1 values include: 4, 100, -6, 84
  • 1.7.2 equals 0
  • 1.7.3 values include: a = 32, b = 1, c = 243, d = 1/16
  • 1.7.4 a confirms yes, while 1.7.4 b confirms no
  • 1.7.5 values include: a = 25, b = -8, c = 12, d = 200

Advanced Algebra Concepts

  • 1.8.1 values include: a = 11, b = 60√10, c = 21√3, d = 2.6, e = 16, f = -81√3
  • 1.8.2 includes concepts such as 2 cubed root of 10, with additional values: 3, (2 fourth root of 2)/5, -0.1, 343, and cubed root of 2
  • 1.8.4 includes values like 0, -19√15, cubed root of 3, 3 cubed root of 4

Fractions and Ratios

  • 1.8.5 values offer insights into fractional equivalents: 5/6, 19/10
  • 1.8.6 assigns a = 7 and b = 3
  • 1.8.7 assigns a = 2 and b = 6

Integer Values

  • 2.1.1 values include: a = -5, b = -9, c = 5, d = 2
  • 2.1.2 values include: a = 17, b = 6, c = -44, d = -4
  • 2.2.1 includes expressions: a = 8x - 1, b = -22x + 30
  • 2.2.2 presents powers such as: a = t^7, b = 64x^7, c = y^45, d = 729x^12

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