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Study Guide: Midterm Mathematics Course 2 1. What does 35 mean? F five 3’s G 3 multiplied by itself 5 times H 3 times 5 I three 5’s multiplied together 8. Write “the quotient of 184 and a number that is decreased by 9” as an algebraic expression. F 184  (9  x) G 184  (x  9) H (184  9)  x 2. Evaluate 4  3  12  2. A 13 C 22 B 20 D 42 3.Evaluate 52  3  5  4  2. F 8 G 12 H 57 I 112 I 184  x  9 9. Write the numbers 2, 5, 0, 1, and 3 in order from least to greatest. A 2, 5, 0, 1, 3 B 2, 1, 0, 3, 5 C 0, 1, 2, 3, 5 D 5, 3, 2, 1, 0 4.Simplify 62 • (10)  4. A 90 C 90 B 15 D 240 10. Find |4|. F 4 G 0 5. Evaluate the expression a  b for a  15 and b  6. F –11 G –21 H 9 I 11 6.Evaluate x2  3x for x  4. H 1 I 4 11. Find the sum 25  (12)  (9). A 4 C 26 B 22 D 46 12. Evaluate x  y for x 5, y  16. A 4 C 20 F 21 H 11 B 4 D 28 G 11 I 21 7.Evaluate 2x  5y for x  3 and y  9. F 10 G 8 H 39 13. Find the difference  21  15. A 36 C 36 B 6 D 6 I 51 14. Find the difference 7  (8). F 15 G 1 H 15 I 56 15. Find the product 8 • (7). A 56 C 1 B 15 D 56 23. Which set of numbers is in order from least to greatest? 8 2 F 6.8, 6 6.61,6 21 3 16. Find the quotient 48  (6). F 42 I 54 17. Find the quotient 38  0. A 0 C 38 B undefined D 38 H 6 8 2 , 6.616 , 6.8 21 3 I 6 8 2 , 6.8, 6.61, 6 21 3 24. Subtract 19.23  3.51. Which is the difference? 18. Solve the equation 6 • p  84. H p  12 G p  14 I p  14 A 10 C 10 B 3 D 20 C 16.32 B 15.72 D 16.72 F 1.1637 H 116.37 G 11.637 I 1,163.7 26. Divide: $23.13  9. 20. Solve the equation 6r  3  15. H r3 G r9 A 15.32 25. Find the product. 2.7 • 4.31. 19. Solve the equation 5  y  15. F r  18 8 2 , 6  6.61, 6.8 21 3 H 8 G 8 F p  504 G 6 I r  2 A $2.57 C $25.70 B $3.00 D $208.17 27. Solve the equation x  5.89  2.3. 21. Which number is greatest? A 0.78 C 7 8 B 0.83 D 11 3 G 6.29 H x  3.59 G x  3.59 I x  8.19 28. On a recent trip, Josh drove 324 miles and used 12 gallons of gasoline. Find the unit rate. 22. Add 17.27  (23.56). F 40.83 F x  8.19 F 12 miles per gallon H 40.83 G 27 gallons per mile H 27 miles per gallon I 6.29 I 330 miles per gallon 2 29. Marlee drove 60 miles using 2 gallons of gas. Which is the unit rate in fraction form? A 1 gallon 30 miles C 30 miles 1 gallon B 1 gallon 60 miles D 60 miles 1 gallon 34. A 5-foot pole casts a shadow of 15 feet. How tall is a tree that casts a shadow of 33 feet? F 11 feet G 19 feet 30. Which of the following ratios are proportional? F 2 3 , 3 4 H 6 9 , 9 12 G 5 11 , 6 12 I 3 9 , 5 15 35. Find the unknown lengths, a and b, in the pair of similar triangles. A B C D 31. Which is the solution to the 3 12 proportion  ? 5 x A x  15 C x  30 B x  20 D x  60 H $4.55 G $3.90 I $5.20 G 365 km B 6 m, 5 m, 8m C 8 m, 6 m, 10 m D 12 m, 9 m, 14 m I 500 km 37. Find the unknown lengths, a and b, in the pair of similar triangles. 33. Which set of side lengths is for a triangle similar to the triangle below? A 7 m, 6 m, 8 m a  5 m and b  30 m a  10 m and b  25 m a  25 m and b  10 m a  30 m and b  5 m 36. On a map, the distance between two cities is 7.3 cm. What is the actual distance between these two cities if the map scale is 1 cm:50 km? F 365 cm H 400 km 32. If it costs $2.60 to purchase 4 croissants, how much would it cost to purchase 7 croissants? F $3.25 H 99 feet I 165 feet A B C D 3 a  5 m and b  30 m a  10 m and b  25 m a  25 m and b  10 m a  30 m and b  5 m 38. Which mixed number is 35 equivalent to ? 8 3 3 F 3 H 4 8 8 5 5 G 3 I 4 8 8 39. Which decimal is equivalent to A 1.22 C 11.9 B 0.119 D 1.2 11 ? 9 40. Solve the equation b  23  14. A 37 C 9 B 9 D 37 41. Solve the equation F 4 G 16 d  64. 4 H 256 I 1,024 42. Write 36,000,000,000 in scientific notation. A 0.36  1010 C 3.6  1010 B 3.6  109 D 36  1010 43. Determine which number is a solution of 7n  56. A 8 C 8 B 11 D 49 4