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Catherine Price - ESL Mathematics for Standardized Tests

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Catherine Price ESL Mathematics for Standardized Tests
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    ESL Mathematics for Standardized Tests
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    Research & Education Association
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Special focus: Math English vocabularly, presented specifically with ESL learners in mind. This invaluable review and preparatory book is designed to help high school- and college-level non-native speakers of English prepare for standardized mathematics tests. ESL (English as a Second Language) Mathematics for Standardized Testing provides students with a comprehensive math review using simple explanations, skill-building exercises, detailed answer keys, and test-taking techniques. Its a perfect book for classroom use or self-guided math studies! Details - In-depth math review explained in easy-to-understand English - Drills and exercises covering tested math areas - Answers to drills/exercises thoroughly detailed for smarter study - Proven test-taking strategies and techniques

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Table of Contents About the Author Catherine Price PhD Purdue - photo 1
Table of Contents

About the Author

Catherine Price (Ph.D., Purdue University) began her academic career at the University of Oklahoma and the University of Wisconsin, Madison. She later moved to Palo Alto College in San Antonio, Texas, and became interested in English as a second language (ESL). She returned to school to pursue a masters in ESL at the University of Texas, San Antonio. Dr. Price is currently adjunct tutor of ESL at Bridgend College, South Wales, United Kingdom.

[Answer Key
Chapter 1
Problems
  1. Solution: -14
    Solution -24 Solution 32 - photo 2
  2. Solution: -24
    Solution 32 Solution -625 - photo 3
  3. Solution: 32
    Solution -625 Solution - photo 4
    Solution -625 Solution - photo 5
  4. Solution: -625
    Solution Solution 16 - photo 6
  5. Solution: Solution 16 Solution 1728 - photo 7
    Solution 16 Solution 1728 Solution 5 - photo 8
  6. Solution: 16
    Solution 1728 Solution 5 Solution75 - photo 9
  7. Solution: 1,728
    Solution 5 Solution75 Solution Thousands Reading from right to - photo 10
  8. Solution: 5
    Solution75 Solution Thousands Reading from right to left enter each - photo 11
  9. Solution:75
    Solution Thousands Reading from right to left enter each digit in a place - photo 12
  10. Solution: Thousands

    Reading from right to left, enter each digit in a place value box.

    Solution 674219 x -3 000674219 Move the decimal point three places to the - photo 13
  11. Solution: 6.74219 x -3

    0.00674219

    Move the decimal point three places to the right. Because the standard form number is less than 1, the second factor, 10, is raised to a negative integer power equal to the number of places that the decimal point is moved.

  12. Solution: 81,833,325,000,000 km
    ESL Mathematics for Standardized Tests - image 14

    Move the decimal point 13 places to the right, adding zeros where necessary.

  13. Solution: 0.0480305
    ESL Mathematics for Standardized Tests - image 15

    Move the decimal point two places to the left, adding zeros where necessary.

  14. Solution:3.3 x -10
    ESL Mathematics for Standardized Tests - image 16
  15. Solution: ESL Mathematics for Standardized Tests - image 17

    Express each fraction as a decimal, and order them from smallest to largest.

    Focus on English thicker safer hottest higher kindest The denominator is 4 - photo 18
Focus on English
  1. thicker
  2. safer
  3. hottest
  4. higher
  5. kindest
  1. The denominator is 4, and the numerator is 3.
  2. The symbol for positive is +, and the symbol for negative is -.
  3. greater than, less than, equal to
  4. Cross multiplication means multiplying the numerator of one of a pair of fractions by the denominator of the other.
  5. A square root is a number that, when multiplied by itself, results in a given number. The square root of 4 is 2. A cube root is a number that, when multiplied by itself twice, results in a given number. The cube root of 9 is 3; that is, 3 3 3 = 9.
  6. Absolute value is the numerical value of a real number without regard to its sign. For example, the absolute value of -4 (written |-4|) is 4.
  7. Scientific notation is a method of writing or displaying numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10. The scientific notation of 33,099, for example, is 3.3099 104.
  8. It is important to learn the order of operations because often we have to use more than one operation when solving problems. If we used the wrong order, we would arrive at the wrong answer.
Chapter 2
Problems
  1. Solution: 9 b - 26
    Solution -15 Solution 1 Solution 16 - photo 19
  2. Solution: -15
    ESL Mathematics for Standardized Tests - image 20
  3. Solution: 1
    ESL Mathematics for Standardized Tests - image 21
  4. Solution: 16
    ESL Mathematics for Standardized Tests - image 22

    Multiply by 8 to clear the fractions.

    Solution -5 Solution 13 - photo 23
  5. Solution: -5
    ESL Mathematics for Standardized Tests - image 24
  6. Solution: ESL Mathematics for Standardized Tests - image 25 13
    ESL Mathematics for Standardized Tests - image 26

    Multiply throughout the equation by 42, the LCD of the three denominators 1, 6, and 7.

    Solution 9000 calories from saturated fat and 36000 calories from enriched - photo 27
  7. Solution: 9,000 calories from saturated fat, and 36,000 calories from enriched flour.

    Mike gets half of (division) his monthly calorie total of 90,000 from refined sugar alone. So, the number of calories he gets from sugar is ESL Mathematics for Standardized Tests - image 28 Let the number of calories from saturated fat be repre-sented by the variable t. Thus, the number of calories he gets from sugar (five times what he takes in from saturated fat) can be expressed as 5t. We know that the number of calories Mike takes in from sugar is 45,000, so 5 t = 45,000. What is the value of t ?

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