Pre-Algebra Review: Expressions and Exponents

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This pre-algebra review covers topics such as evaluating expressions, working with exponents, using scientific notation, and standard form notation. Examples and answers help reinforce understanding of fundamental algebraic concepts.


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  1. Expressions Common Assessment Review Pre-Algebra Pence 2014

  2. Write (w)(w)(w)(w)(w)(w) using exponents Answer: w6

  3. Evaluate 2m2 m=3 2(3)2 18

  4. Which symbol makes this statement true? (-3)4 ? -34 Answer: >

  5. Evaluate 3 +2(5-2)2+8 Answer: 3 +2(3)2+ 8 3 + 2(9) + 8 3 + 18 + 8 29

  6. 94* 94 98

  7. _ ( )3 1 4 Evaluate Answer : 1 64

  8. 47 42 Answer 45

  9. m5 m Answer m4

  10. 1 56 Write using a negative exponent as an expression Answer 5-6

  11. Evaluate b-3 if b=3 A. -9 B. -1 27 1 27 C.

  12. (K5)11 K55

  13. (2m5)-4 1 16m20

  14. (4a3b)(-7ab5) -28a4b6

  15. Which expression is the same as 81m8d6 A. (9m6d4)2 B. (9m4d3)2 C. (6m5d3)3

  16. Express 1,450,000 in scientific notation 1.45 x 106

  17. Express 6.17 x 105 in standard form 617,000

  18. 7.5 x 10-4 in standard form 0.00075

  19. Chose a number that is greater than 2.7 x 104 A. 26,000 B. 1.4 x 105 C. 3.1 x 10-6 D. 2.5 x 104

  20. Express in scientific notation (8.8 x 102)(2.25 x 10-2) 1.98 x 101

  21. Evaluate (1.25 x 104) - 9,400 Express the answer in scientific notation 3.1 x 103

  22. Evaluate 5p0 Answer 5

  23. Evaluate 36?10?12 6?5?6 Answer -6d5e6

  24. Which of the following would be a reasonable weight of a pencil? A. 1 x 10 2lb B. 1 x 102 lb C. 1 x 1020 lb D. 1 x 10 20 lb

  25. A. 1 x 102lb B. 1 x 102 lb C. 1 x 1020 lb D. 1 x 10 20 lb

  26. List the animals weights from least to greatest Animals African Elephant Blue Whale Fin Whale Right Whale White Rhinoceros Answer: 7.94 x 103,1.44 x 104, 8.82 x 104, 9.92 x 104, 2.87 x 105 Weight (pounds) 1.44 x 104 2.87 x 105 9.92 x 104 8.82 x 104 7.94 x 103

  27. Which animal is about 10 times lighter than a right whale? Animals African Elephant Blue Whale Fin Whale Right Whale White Rhinoceros Weight (pounds) 1.44 x 104 2.87 x 105 9.92 x 104 8.82 x 104 7.94 x 103 Answer: White rhino

  28. About how many times heavier is the blue whale than the African elephant? Animals African Elephant Blue Whale Fin Whale Right Whale White Rhinoceros Answer: ???? ? ??? ??????? ???? ??? = 2.87 ? 105 Weight (pounds) 1.44 x 104 2.87 x 105 9.92 x 104 8.82 x 104 7.94 x 103 1.44 ? 104= 1.99 ? 101 ????????????? 2 ?101 ?? 20 ?????

  29. Estimate the combined weight of the blue whale, fin whale, and right whale. Express your answer in standard notation. Animals African Elephant Blue Whale Fin Whale Right Whale White Rhinoceros Answer: 2.87 x 105 + 9.92 x 104+ 8.82 ? 104 = 474, 400 lbs = approximately 500,000lbs Weight (pounds) 1.44 x 104 2.87 x 105 9.92 x 104 8.82 x 104 7.94 x 103

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