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Pre-Algebra, Unit 04 Practice Test: Factors, Fractions, and Exponents Name: Date: 1. Define common factor and give an example. 2. Define prime number and give an example. 3. Define multiple. 4. Is one a prime number? Why or why not? 5. Are the numbers 21 and 24 relatively prime? Explain your thinking. 6. Write a strategy for finding the least common multiple. 7. How are the terms least common multiple and least common denominator related? Pre-Algebra Practice Test Unit 04: Factors, Fractions, and Exponents Page 1 of 6 8. Which set contains only composite numbers? A. B. C. D. 15,18,19, 21 22, 27, 33,39 41, 45, 46, 49 51,53,55,57 9. For which value of x is the value of the expression 4 x 1 a prime number? A. B. C. D. 0 2 4 6 10. (SE) What is the prime factorization of 36? A. 2 32 B. 22 32 C. 62 D. 182 11. Find the greatest common factor of 64 and 48. 12. (SE) Find the greatest common factor (GCF) of 9 x 3 y and 15 x 2 y 2 . A. B. C. D. 45 x 5 y 3 45 x 2 y 3x 5 y 3 3x 2 y 13. Write two fractions that are equivalent to Pre-Algebra Practice Test 4 . 10 Unit 04: Factors, Fractions, and Exponents Page 2 of 6 14. Write the fraction 25 in simplest form. 40 15. In a survey of 40 people, 24 prefer diet soda to regular soda. What fraction of those who participated in the survey prefers regular soda? Give your answer in simplest form. 1 27 13 . 16. Order from least to greatest: 3 , , 2 8 4 17. (SE) Write the fraction below in simplest form. 12a 3b2 30ab3 A. B. C. D. 2a 2 5b 2a 4 5b5 4a 2 10b 4a 4 10b5 18. Find the least common multiple of 10, 12, and 14. Pre-Algebra Practice Test Unit 04: Factors, Fractions, and Exponents Page 3 of 6 19. (SE) Find the least common multiple (LCM) of 6 x 2 y 2 and 12 x 4 y. A. 6 x 2 y B. 6 x 4 y 2 C. 12 x 2 y 2 D. 12 x 4 y 2 Simplify: x3 x5 20. 21. x8 x4 22. 2n 5 3n 2 23. 24m11 18m5 24. x0 25. Write the expression 105 using only positive exponents. 26. Write the expression 1 without using a fraction bar. 1000 27. (SE/CRT) What is 2.78 105 written in standard form? A. B. C. D. 0.00000278 0.0000278 27,800 278,000 Pre-Algebra Practice Test Unit 04: Factors, Fractions, and Exponents Page 4 of 6 28. (SE) What is 0.0028 written in scientific notation? A. B. C. D. 2.8 103 2.8 102 2.8 102 2.8 103 29. (SE) A student believes 7.3 102 represents a number that is 40 times larger than the number represented by 7.3 102. What error is the student making? Explain your thinking. 30. (SE) Explain why 14.7 103 is not in scientific notation. What is the correct way to write this value in scientific notation? Pre-Algebra Practice Test Unit 04: Factors, Fractions, and Exponents Page 5 of 6 31. A student government is made up of 40 students from the 8th grade, 24 students from the 7th grade, and 16 students from the 6th grade. What is the greatest number of identical committees that can be formed using all the students? Explain your thinking. Long term memory review: 32. Evaluate the expression: 17 3 2 33. (SE) Solve the inequality for x. 4 x 24 34. (SE/CRT) An equation is shown below. x 2 Which graph represents all the solutions for the equation? A. B. C. 5 0 5 5 0 5 5 0 5 5 0 5 D. Pre-Algebra Practice Test Unit 04: Factors, Fractions, and Exponents Page 6 of 6