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Name _______________________________________ Date __________________ Class __________________ 7th Grade Review for 1st Semester Test 1. Which does not represent 256 using powers? 7. Evaluate 15 7v when u 3 and u A 28 C 83 v 5. B 162 D 44 A 17 C 40 B 38 D 80 2. The cost of a new jumbo jet is $2,350,000,000. Which is this number in scientific notation? F 235 107 H 23.5 108 G 2.35 109 J 2.35 107 8. Which is “25 times the quantity 16 less than n” as an algebraic expression? 3. Which of the following has a value of 8? A 12 3 • 4 2 F 25n 16 H 25 • 16 n G (25 • 16) n J 25(n 16) 9. Which expression simplifies to 12p 3q? 32 B 12 3 • 4 22 3 A 17q 3p 5q C (12 3 • 4) 2 32 B 5p 7p 3q D (12 3 • 4) 2 22 C 14p 6q 2p 3q D 10p 7q 2p 3q 4. Which is the prime factorization of 378? F 2 • 33 • 7 H 2 • 32 • 21 G 6 • 32 • 7 J 2 • 33 • 72 10. Which number is a solution of the equation 12 x 2 9x? 5. What is the greatest common factor of 14, 28, and 56? F x1 H x3 G x2 J x 1 11. Solve the equation 343 d 500. A 2 C 14 A d 143 C d 257 B 7 D 28 B d 157 D d 843 6. For every three times Jason can run around the block, his mother Linda can bike five times. If they start together, after how many times around the block will they meet at the starting point again? 12. Solve the equation F w3 G w 465 w 45. 15 H w 675 J w 875 13. Which is the numbers 6, 2, 0, 1, and 5 in order from least to greatest? F after 3 times G after 5 times H after 15 times A 6, 5, 1, 0, 2 J after 30 times B 0, 1, 2, 5, 6 C 2, 0, 1, 5, 6 D 1, 5, 6, 0, 2 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 85 Holt McDougal Mathematics Name _______________________________________ Date __________________ Class __________________ 21. Estimate 14.75 2.85 by using compatible numbers. 14. What are the coordinates of a point 4 units from the origin and on the y-axis? F (4, 0) H (0, 4) G (4, 4) J (4, 0) C 20 B 20 D 46 H 578 feet G 1,090 feet J 1,090 feet B 4 D 6 F 5 H 5.433 G 5.427 J 43.333 23. Irene bought 3 yards of fabric and a spool of thread for $28.10. If the spool of thread cost $1.25, how much did the fabric cost per yard? 16. When climbing out of Death Valley, Amy climbed from 256 feet below sea level to 834 feet above sea level. How far did she climb? F 578 feet C 5 22. Find the difference 24.38 18.953. 15. Find the sum 12 32. A 46 A 3 A $8.95 C $26.85 B $9.37 D $28.10 24. Find the quotient 19.4 3.48. Round to the nearest tenth. 17. Find the quotient of 75 (15). A 90 C 5 F 6.5 B 60 D 5 G 5.6 J 6.0 2 7 25. Find the product 1 • 1 . Which is 3 9 the answer in simplest form? 80 3 A C 2 27 4 9 26 B 2 D 2 12 27 18. Solve the equation 36 6r. F r 6 H r 30 G r6 J r 30 19. Which pair of fractions is equivalent? A 14 12 and 21 16 C 12 14 and 18 21 B 12 16 and 16 20 D 16 14 and 20 21 5 1 . Which is 12 4 the answer in simplest form? 5 F H 3 3 2 G 1 J 5 3 5 3 27. Find the difference . Which is 8 16 the answer in simplest form? 26. Find the quotient 7 , 0.825, and 8 0.78 in order from least to greatest? 20. Which is the numbers F 0.78, 0.825, G H 5.6 7 8 7 , 0.78, 0.825 8 7 , 0.825 8 J None of the above H 0.78, 13 16 A 15 128 C B 7 16 D 3 1 3 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 86 Holt McDougal Mathematics Name _______________________________________ Date __________________ Class __________________ 34. If it takes Blanche 36 minutes to walk 2 miles, how long will it take her to walk 7 miles? 1 3 4 . Which is the 2 16 answer in simplest form? 28. Find the sum 2 F 1 11 16 H 7 11 16 G 6 11 16 J 10 2 3 x 1 . Which is the answer 5 5 in simplest form? 16 25 B x2 D x4 G n8 J n8 8 16 and 18 81 C A (2, 5) C (2, 5) B (2, 5) D (2, 5) $48 1 credit H $1 48 credits $3 $144 J 144 credits 3 credits 37. Find the unknown length in the pair of similar triangles. G 31. Which two ratios are equal to the ratio 4 to 9? A J 156 minutes F 30. Translate the following statement into symbols: the number n is at least 8. H n8 G 108 minutes 36. Brendan paid $144 for 3 college credits. Find the unit rate in fraction form. C x3 F n8 H 126 minutes 35. What are the coordinates of the point that is 2 units left and 5 units up from the origin? 15 32 29. Solve A x F 75 minutes 8 16 and 18 36 6 12 9 16 and D and 18 27 14 36 32. Beau has 3 apples, 5 pears, and 8 plums. Find the ratio of apples to plums in all three forms. B F G 3 , 3 to 5, 3:5 5 3:8 5 , 5 to 8, 5:8 8 3:8 H J 8 , 3 to 8, 3 B 6 feet D 216 feet B 12 m D 14 m F 2ab H a2b2 G a2b J ab2 39. It took Conrad 91 days to walk the Pacific Crest Trail. How many weeks is this? 33. The scale factor of a model plane is 1:24. If the model is 9 inches long, how long is the actual plane? C 18 feet C 13 m 38. Write a • a • b using exponents. 3 , 3 to 8, 8 A 18 inches A 11 m A 7.58 weeks C 18.2 weeks B 13 weeks D 637 weeks Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 87 Holt McDougal Mathematics Name _______________________________________ Date __________________ Class __________________ 40. Marianna has an offer to sell her company for $31,250,000. Which is this number in scientific notation? 43. An ostrich egg weighs 3 pounds. What is the weight of the egg in ounces? F 3125 104 H 31.25 106 A 36 ounces C 54 ounces G 3.125 107 J 3.125 104 B 48 ounces D 60 ounces 44. If it takes Carlos 15 weeks to make 3 birdhouses, how long will it take him to make 11 birdhouses? 41. Marlin bought 4 ham sandwiches and 2 bags of chips for $22.50. If the chips cost $0.75 per bag, how much did each sandwich cost? A $5.25 C $21.00 B $5.44 D $24.00 F 45 weeks H 75 weeks G 55 weeks J 165 weeks 42. Which pair of fractions is equivalent? F 10 4 and 5 12 H 8 2 and 27 7 G 15 21 and 20 28 J 14 18 and 18 21 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 88 Holt McDougal Mathematics