Algebra 1 Midterm Review Multiple Choice Identify the choice that best completes the statement or answers the question. You may write on this review packet. Write an algebraic expression for the phrase. 1. 9 times the sum of m and h a. 9(m + h) b. 9 + m + h c. 9mh d. 9m + h 2. Name the set(s) of numbers to which 0.47 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above Simplify the expression. 3. a. –5 b. 5 c. 6 d. –6 a. 243 b. –243 c. 15 d. 81 4. 5. a. –18n + 81mn – 153np b. –2n + 9m – 17p c. –2n + 9mn – 17np d. –2n – 9mn + 17np 6. a. 0 b. –2.7 c. 1 d. –1 a. –10 b. c. d. 25 a. b. c. d. a. b. c. d. a. b. c. d. 7. 8. 9. 10. 11. a. b. c. d. a. b. c. d. a. b. c. d. c. 3 d. 9 c. 4 d. 12. 13. 14. Evaluate a. –9 for x = –3 and y = 3. b. –3 Name the property the equation illustrates. 15. 5 + (3 + 7) = (5 + 3) + 7 a. Commutative Property of Addition b. Commutative Property of Multiplication c. Inverse Property of Addition d. Associative Property of Addition Solve the equation. 16. 4 x+4=6 5 a. 1 2 2 b. 2 1 2 1 3 5 17. 13 = –d + 8 a. –5 b. –7 c. 11 d. 5 18. 5(y + 6) = 60 a. –18 b. 6 c. 7 d. 18 b. 0 c. –9 d. –10 b. 1.8 c. –9 d. 9 19. a. 3 20. Find the value of y. a. 18 21. A 16-oz bottle of water costs $1.28. What is the cost per ounce? a. $0.20/oz b. $0.80/oz c. $0.08/oz d. $2.00/oz Solve the proportion. 22. a. 2.9 b. 28.1 c. 200 d. 22.2 a. b. c. d. 23. 157 5 65 9 73 9 137 9 Write the inequality in words. 24. 3n < 52 a. fifty-two less than three times n b. Three times n is less than fifty-two. c. Three times n is less than or equal to fifty-two. d. Three times n is greater than fifty-two. Solve the inequality. Then graph your solution. 25. a. c. –10 –8 –6 –4 –2 0 2 4 6 8 –14 –12 –10 –8 10 b. –6 –4 –2 0 2 4 6 d. –50 –40 –30 –20 –10 0 10 20 30 40 –8 50 –4 0 4 8 12 16 20 24 26. a. a c. 20 –140 –120 –100 –80 –60 –40 –20 0 6 a 3 10 20 0 b. a³ 1 d. a 4 5 5 10 –10 –5 0 Solve the equation. If there is no solution, write no solution. 27. a. no solution b. q = –10 or 10 20 20 –140 –120 –100 –80 –15 15 c. q = –14 d. q = 10 –60 –40 –20 0 20 28 32 Write the number in scientific notation. 28. 0.00439 a. b. c. d. Simplify the expression. Write the answer using scientific notation. 29. a. 6.2 10 3 b. c. d. 4.77 10 3