Unit 2 study guide. Student Class Date. 1. What is an equivalent expression to the expression below? 2. Write an expression that is equivalent to?

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1 Unit 2 study guide Student Class Date 1. What is an equivalent expression to the expression below? 2. Write an expression that is equivalent to? 3. Write an expression that is equivalent to Unit2StudyGuideHicks Page 1/11

2 4. 5. Kevin wants to calculate the value of the expression below. Write an equivalent way Kevin could write this expression? 6. What is the simplified form of the expression below? 7. Write an expression that is equivalent to Unit2StudyGuideHicks Page 2/11

3 8. Write an expression that is equivalent to: Simplify? 10. What is the exponential form of 11. Given the area of a square, which mathematical operation is required to find the length of the side of the square? Unit2StudyGuideHicks Page 3/11

4 12. What is the value of x when 13. What is the value of 14. Which situation requires the use of the cube root? A. determining the surface area of a cube given the side B. determining the volume of a cube given the side C. determining the side of a cube given the volume D. determining the volume of a sphere given the radius 15. In Mr. DeLeon s math class, players in any math game must represent their scores with a math expression. Arthur s game score is represented by this expression. What is Arthur s score? Unit2StudyGuideHicks Page 4/11

5 16. Write the cube root of 512? 17. If and a = 27, what is one value of b? 18. The diagonal length of a rectangular swimming pool can be represented by 10 times the square root of 5. Which represents this length? 19. What is equivalent to Unit2StudyGuideHicks Page 5/11

6 20. Which statement about the square root of a positive number is always true? A. The square root is a prime number. B. The square root is a positive number. C. The square root is a negative number. D. The square root is a factor of the number. 21. The distance between Mars and Earth varies over time. The greatest distance between the two planets is about 401,300,000 kilometers. The shortest distance is 54,500,000. Which of the following shows the difference in kilometers between these distances written in scientific notation? 22. The distance from Earth to the Sun is approximately miles. The distance from Earth to the moon is approximately miles. Approximately how many times the distance from the Earth to the Moon is the distance from Earth to the Sun? 23. A small paper clip weighs about kilogram. What is written in scientific notation? Unit2StudyGuideHicks Page 6/11

7 24. The surface area of a tabletop is 5760 square inches. Which expression shows this number in scientific notation? 25. The length of the Nile River is about 6,690,000 meters. Which expression shows this length in scientific notation? 26. Kyle's telescope has a focal length of 700 millimeters. Since 1 meter is equal to 1,000 millimeters, which shows the focal length in meters written in scientific notation? 27. The diameter of Jupiter is approximately miles. The diameter of Earth is approximately miles. Approximately how many times the diameter of Earth is the diameter of Jupiter? Unit2StudyGuideHicks Page 7/11

8 28. The diameter of a grain of sand is millimeter. Write this in scientific notation. 29. A reference guide lists the approximate surface areas of four oceans as shown in the table. Ocean Area (in square miles) Pacific Atlantic India Arctic Which is closest to the total area of the oceans? 30. A beam of light can travel about 3 meters in second. Which of the following shows written in scientific notation? 31. Which number is equal to Unit2StudyGuideHicks Page 8/11

9 32. The concentration of the hydrogen ions in an acid is grams per liter (g/l). What is this concentration expressed in standard form? 33. The budget for the fiscal year for the state of Florida was 53.5 billion dollars. Which of the following is another way to write 53.5 billion? 34. Write 457,000,000 using scientific notation? 35. What is expressed in scientific notation? Unit2StudyGuideHicks Page 9/11

10 36. Scientists have identified approximately 250,000 existing species of flowering plants. Which expression represents 250,000 in scientific notation? 37. What is the product of and 120,000, written in scientific notation? 38. Write using scientific notation? 39. In one year 10,257,400,000 pennies were produced. Which is the best estimate, in scientific notation, of the number of pennies produced? 40. The average distance in kilometers between the Sun and Earth is 150,000,000. How is this number expressed in scientific notation? ssss Unit2StudyGuideHicks Page 10/11

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