College test english 8

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– ESSENTIAL PRACTICE WITH MATH– If the answer is zero, then we know that one of those SKILL BUILDER QUESTIONS quantities (one of those somethings) has to be zero. So 1. John has a box containing 84 nails, and he ﬁnds we set both of those somethings equal to 0. 47 around his workshop. If his current project (x 2)(x 8) 0 requires four times the amount he already has, how many more nails does he have to buy? x 2 0|x 8 0 a. 131 x 2|x 8 b. 524 Thus, the answer is b. c. 393 2. If x is a positive number, and x2 d. 84 8x 9 0, what is the value of x ? 2. How much is one-eighth of one-sixth? a. 1 a. 418 b. 9 6 b. 8 c. all of the above 1 c. d. none of the above 12 1 d. 6 The expression x2 8x 9 0 can be factored into 3. For every dollar Zelda saves, her dad contributes two sets of parentheses: a dime to her savings. If Zelda saves $10 in June, (x ± ?)(x ± ?) 0 $25 in July and $13 in August, how much will she have in savings at the end of that time? Again, because the coefﬁcient of the x2 term is 1, we a. $52.80 know that the sum of the two missing numbers is 8 b. $52.00 (the coefﬁcient of the x term) and the product of the c. $53.80 two missing numbers is 9 (the lone number). The two d. $48.00 numbers that satisfy these conditions are 9 and 1. We ﬁll in our parentheses and set each set of parentheses 4. Jessica is having a party and is making a sparkling equal to 0: drink. Her recipe calls for 1 part fruit punch and 2 parts Sprite. If she adds 3 cups of fruit punch, (x 9)(x 1) 0 how much Sprite would she need? x 9 0|x 1 0 a. 2 cups x 9|x 1 b. 6 cups But be careful! The question told us that x is positive! c. 3 cups This means that only 9 is correct, choice b. d. 4 cups 5. Change 42% to a fraction. a. 412 1 b. 4.2 21 c. 50 4.2 d. 100 LearningExpress Skill Builders • CHAPTER 4 79
–BASIC SKILLS FOR COLLEGE– 12. Mary has read 2 of a book assigned for her col- 6. Calculate | 3 1 5 |. 5 4 a. 230 lege class. The book is 255 pages long. How many b. 3 3 pages has she read? 4 4 a. 200 c. 15 33 b. 102 d. 4 c. 153 7. What is 113 42? d. 100 a. 1315 13. Ellen is a traveling saleswoman. She drove 373.5 b. 1347 miles on Monday, 481.6 miles on Tuesday, 392.8 c. 1315 miles on Wednesday, 502 miles on Thursday, and d. 1347 53.7 miles on Friday. What was the total distance 8. What is 4.0 104 multiplied by 3000? she drove? a. 12 108 a. 1351.8 miles b. 1.2 104 b. 1803.6 miles c. 1200 104 c. 1813.6 miles d. 1.2 108 d. 2286.9 miles 9. What is 64 + 36 equal to? 14. If Jack always spends $18 on gaming equip- a. 100 ment in a week, how much does he spend in 6 b. 10 weeks? c. 14 a. $60 d. 64 b. $48 10. What is the mode of the following series of c. $108 d. $180 numbers: 3 3 3 3 4 6 89 a. 9 15. Change 12 1 % to a fraction. 2 b. 4 a. 1 8 c. 3 1 b. 12.5 d. 8 12 c. 100 11. If Brian can run around the block four times in 25 d. 1 20 minutes, and Jaclyn can run around the block 16. Amber needs to find the absolute value of three times in 12 minutes, who can make it 123.456 for her exam. What is the correct around the block more times in an hour, and by answer? what amount? a. 123.456 a. Brian, three times more b. 123.456 b. Jaclyn, three times more c. 654.321 c. They both go around 12 times d. 1.2 10 3 d. Brian, eight times more CHAPTER 4 • LearningExpress Skill Builders 80
– ESSENTIAL PRACTICE WITH MATH– 22. Jesse ate 1 of a pizza and left the other half in 17. Find the value of 122. 2 his dorm room. Dennis came by and ate one- a. 144 quarter of what was left there. How much of the b. 144 original pie did Dennis eat? c. 24 a. 116 d. 24 1 b. 18. What is another way to write 3.0 1012? 6 1 c. a. 3 billion 4 b. 3 trillion 1 d. 8 c. 3 million 23. At the Fabric Barn, ﬂowered material sells for d. 300,000 $3.95 per yard. If Missy buys 13.5 yards, which 19. What is the square root of 121? amount is closest to what she will spend? a. 242 a. $38 b. 12 b. $85 c. 11 c. $52 d. 14,641 d. $522 20. Joe worked 3 months during the summer, earn- 24. Teresa and Jan need to buy cups for their new ing $522.75 during the ﬁrst month, $498.25 in hotel-restaurant in New Hampshire. At Ed’s the second month and $530 in the third month. Discount Diningware, 50 cups cost $75. At that Calculate the mean of his paychecks. price, how much would 200 cups cost? a. $517 a. $300 b. $522.75 b. $200 c. $1551 c. $225 d. $530 d. $150 21. Jane is a waitress. She made $153 on Friday, $167 3 25. Change the fraction into a percent. 8 on Saturday, and $103 on Sunday; then she a. 2.67% spent $94 on Monday, and $19 on Tuesday. b. 38% How much did she have left? c. 37.5% a. $133 d. 3.8% b. $423 26. Find ( 2 )2. c. $94 3 a. 5 d. $310 9 1 b. 3 1 c. 6 4 d. 9 LearningExpress Skill Builders • CHAPTER 4 81
–BASIC SKILLS FOR COLLEGE– 27. Which of these equations is incorrect? GEOMETRY a. 16 9 (16 9) AB is 2 , DE is BC 1. If BD 3 b. 4 36 (4 36) A c. neither is incorrect d. both are incorrect 28. What is the median of the following group of B C numbers? 5 10 15 20 25 30 36 a. 36 b. 22.5 SBGeo_14 c. 20 D E BC DE d. 5 3 a. 2 SBGeo_15 29. Melanie threw a party and bought 4 one-pound 2 b. 3 platters of deli meat. At the end of the party, there 2 c. were 2 pound of roast beef, 3 pound of turkey 5 5 7 breast, 1 pound of salami, and 1 pound of 5 d. 8 4 2 bologna remaining. What fraction of the origi- 2. One side of a regular pentagon is 25 mm. What nal four pounds of meat was left after the party? is the perimeter of the pentagon? a. 1 25970 pounds a. 100 mm SBGeo_17 SBGeo_18 b. 1 25890 pounds SBGeo_16 b. 125 mm c. 1 337 pounds c. 150 mm 280 d. 625 mm d. 1 25870 pounds 3. If ABCD is a rectangle, what is the value of 30. There are 92 girls in Professor Martin’s Intro to angle p? Anthropology class. This is 40% of all the stu- A B dents. What is the total number of students? p a. 300 o 35 b. 192 SBGeo_19 c. 230 o 95 d. 92 C D a. 50° b. 55° c. 65° SBGeo_20 d. It cannot be determined. CHAPTER 4 • LearningExpress Skill Builders 82
–ESSENTIAL PRACTICE WITH MATH– c. 4. A line contains the points ( 3, 5) and (8, 10). What is the slope of the line? a. 1 b. 151 X c. 1 5 d. 11 5. If quadrilateral Q is reﬂected across the y-axis, what will the result be? Y d. Q X X SBGeo_14 Y Y SBGeo_15 a square with side = 4, what is its diag- a. 6. If ABCD is onal? A B X c 4 C D Y 4 b. a. 8 SBGeo_17 SBGeo_18 BGeo_16 b. 2 2 c. 4 2 X d. 2 8 Y SBGeo_19 Skill Builders LearningExpress • CHAPTER 4 83
–BASIC SKILLS FOR COLLEGE– 7. What is the perimeter of the triangle below? 9. If in the ﬁgure above, OP, QR, ST, and UV are SBGeo_1 what is the value of angle a? SBGeo_2 parallel, a. 40 40o b. 50 c. 120 6 d. 140 10. What is the value of angle b? 70o a. 40 5 b. 50 a. 14 SBGeo_4 c. 120 SB SBGeo_1 SBGeo_2 SBGeo_3 b. 16 d. 140 c. 17 11. Refer to the three ﬁgures below: d. 30 8. A triangle has 2 sides that measure 14 cm and 17 cm respectively. Which of the following could M N O be the length of the triangle’s third side? a. 33 cm b. 31 cm Which of the following statements are true? c. 25 cm SBGeo_4 a. Figure M has 360° SBGeo_5 b. SBGeo_6 360° d. 3 cm Figure N has SBGeo_7 c. Figure O has 360° Use the diagram below to answer questions 9 and 10. d. Both a and c are true. 12. What is the area of the parallelogram below? 8 O P bo 10 Q R S T SBGeo_6 8 ao SBGeo_8 SBGeo_7 a. 80 SBGeo_9 U V SBG b. 48 40 o c. 40 d. 32 SBGeo_9 SBGeo_10 CHAPTER 4 • LearningExpress Skill Builders 84