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5-Minute Check 1

A. 49 B. C. D. 5-Minute Check 1. A. B. C. D. 5-Minute Check 3. A. B. C. D. 5-Minute Check 4. What is the ratio of the area of the square to the area of the triangle?. A. 2 to 1 B. 1 to 1 C. 4 to 1 D. 3 to 1. 5-Minute Check 5. A. B. C. D. 5-Minute Check 6. Concept.

russell-cochran
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5-Minute Check 1

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  1. A.49 B. C. D. 5-Minute Check 1

  2. A. B. C. D. 5-Minute Check 3

  3. A. B. C. D. 5-Minute Check 4

  4. What is the ratio of the area of the square to the area of the triangle? A. 2 to 1 B. 1 to 1 C. 4 to 1 D. 3 to 1 5-Minute Check 5

  5. A. B. C.D. 5-Minute Check 6

  6. Concept

  7. Write each expression in radical form, or write each radical in exponential form. Radical and Exponential Forms = 9 Simplify. Answer: 9 Example 1A

  8. Write each expression in radical form, or write each radical in exponential form. Answer: Radical and Exponential Forms Example 1B

  9. Write each expression in radical form, or write each radical in exponential form. Answer: Radical and Exponential Forms Example 1C

  10. Write each expression in radical form, or write each radical in exponential form. Answer: 9 Radical and Exponential Forms Example 1D

  11. A. 16 B. 8 C. 4 D. 2 Example 1CYP

  12. Concept

  13. A. nth Roots Answer: 4 Example 2A

  14. B. nth Roots Answer: 5 Example 2B

  15. A. 343 B. 81 C. 49 D. 7 Example 2A

  16. Concept

  17. A. Evaluate b Expressions = 11 Simplify. Answer: 11 Example 3

  18. B. Evaluate b Expressions = 7 Simplify. Answer: 7 Example 3

  19. A. 4 B. 8 C. 16 D. 32 Example 3

  20. Concept

  21. Evaluate b Expressions = 22 25 = 32 = 4 Simplify. Answer: 4 Example 4A

  22. Evaluate b Expressions = 95 92 = 81 = 59,049 Simplify. Answer: 59,049 Example 4B

  23. A. 216 B. 36 C. 18 D. 6 Example 4

  24. Concept

  25. Solve Exponential Equations A. Solve 9x = 729. 9x = 729 Original equation 9x = 93 Rewrite 729 as 93. x = 3 Power Property of equality Answer: 3 Example 5A

  26. Divide each side by 8. Answer: Solve Exponential Equations B. Solve 162x – 1 = 8. 162x – 1 = 8 Original equation (24)2x – 1 = 23 Rewrite 16 as 24 and 8 as 23. 28x – 4 = 23 Power of a Power, Distributive Property 8x – 4 = 3 Power Property of Equality 8x = 7 Add 4 to each side. Example 5B

  27. BIOLOGYThe population p of a culture that begins with 40 bacteria and doubles every 8 hours can be modeled by , where t is time in hours. Find t if p = 20,480. Original equation p = 20,480 Divide each side by 40. Solve Exponential Equations Example 6

  28. Rewrite 512 as 29. Power Property of Equality Solve Exponential Equations 72 = t Multiply each side by 8. Answer: 72 Example 6

  29. NEWSThe number of hits to a news story online can be modeled by , where t is time in hours. Find t if h = 24,576. A. 6 B. 8 C. 9 D. 12 Example 6

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