College test english 8 pps

LearningExpress Skill Builders • CHAPTER 4 79 If the answer is zero, then we know that one of those quantities (one of those somethings) has to be zero. So we set both of those somethings equal to 0. (x Ϫ 2)(x ϩ 8) ϭ 0 x Ϫ 2 ϭ 0 | x ϩ 8 ϭ 0 x ϭ 2 | x ϭϪ8 Thus, the answer is b. 2. If x is a positive number, and x 2 Ϫ 8x ϩ 9 ϭ 0, what is the value of x? a. Ϫ1 b. 9 c. all of the above d. none of the above The expression x 2 Ϫ 8x ϩ 9 ϭ 0 can be factored into two sets of parentheses: (x ± ?)(x ± ?) ϭ 0 Again, because the coefficient of the x 2 term is 1, we know that the sum of the two missing numbers is Ϫ8 (the coefficient of the x term) and the product of the two missing numbers is 9 (the lone number). The two numbers that satisfy these conditions are Ϫ9 and 1.We fill in our parentheses and set each set of parentheses equal to 0: (x Ϫ 9)(x ϩ 1) ϭ 0 x Ϫ 9 ϭ 0 | x ϩ 1 ϭ 0 x ϭ 9 | x ϭϪ1 But be careful! The question told us that x is positive! This means that only 9 is correct, choice b. SKILL BUILDER QUESTIONS 1. John has a box containing 84 nails, and he finds 47 around his workshop. If his current project requires four times the amount he already has, how many more nails does he have to buy? a. 131 b. 524 c. 393 d. 84 2. How much is one-eighth of one-sixth? a. ᎏ 4 1 8 ᎏ b. ᎏ 6 8 ᎏ c. ᎏ 1 1 2 ᎏ d. ᎏ 1 6 ᎏ 3. For every dollar Zelda saves, her dad contributes a dime to her savings. If Zelda saves $10 in June, $25 in July and $13 in August, how much will she have in savings at the end of that time? a. $52.80 b. $52.00 c. $53.80 d. $48.00 4. Jessica is having a party and is making a sparkling drink. Her recipe calls for 1 part fruit punch and 2 parts Sprite. If she adds 3 cups of fruit punch, how much Sprite would she need? a. 2 cups b. 6 cups c. 3 cups d. 4 cups 5. Change 42% to a fraction. a. ᎏ 4 1 2 ᎏ b. ᎏ 4 1 .2 ᎏ c. ᎏ 2 5 1 0 ᎏ d. ᎏ 1 4 0 .2 0 ᎏ –ESSENTIAL PRACTICE WITH MATH– CHAPTER 4 • LearningExpress Skill Builders 80 6. Calculate | ᎏ 3 4 ᎏ Ϭ ᎏ 1 5 ᎏ |. a. ᎏ 2 3 0 ᎏ b. 3 ᎏ 3 4 ᎏ c. ᎏ 1 4 5 ᎏ d. Ϫ3 ᎏ 3 4 ᎏ 7. What is Ϫ11 3 ϩ 4 2 ? a. Ϫ1315 b. 1347 c. 1315 d. Ϫ1347 8. What is 4.0 ϫ 10 4 multiplied by 3000? a. 12 ϫ 10 8 b. 1.2 ϫ 10 4 c. 1200 ϫ 10 4 d. 1.2 ϫ 10 8 9. What is ͙64 ෆ + ͙36 ෆ equal to? a. 100 b. 10 c. 14 d. 64 10. What is the mode of the following series of numbers: ͙3 ෆ ͙3 ෆ ͙3 ෆ ͙3 ෆ 46͙8 ෆ 9 a. 9 b. 4 c. ͙3 ෆ d. ͙8 ෆ 11. If Brian can run around the block four times in 20 minutes, and Jaclyn can run around the block three times in 12 minutes, who can make it around the block more times in an hour,and by what amount? a. Brian, three times more b. Jaclyn, three times more c. They both go around 12 times d. Brian, eight times more 12. Mary has read ᎏ 2 5 ᎏ of a book assigned for her col- lege class. The book is 255 pages long. How many pages has she read? a. 200 b. 102 c. 153 d. 100 13. Ellen is a traveling saleswoman. She drove 373.5 miles on Monday,481.6 miles on Tuesday,392.8 miles on Wednesday,502 miles on Thursday,and 53.7 miles on Friday. What was the total distance she drove? a. 1351.8 miles b. 1803.6 miles c. 1813.6 miles d. 2286.9 miles 14. If Jack always spends $18 on gaming equip- ment in a week, how much does he spend in 6 weeks? a. $60 b. $48 c. $108 d. $180 15. Change 12 ᎏ 1 2 ᎏ % to a fraction. a. ᎏ 1 8 ᎏ b. ᎏ 12 1 .5 ᎏ c. ᎏ 1 1 0 2 0 ᎏ d. ᎏ 2 1 5 ᎏ 16. Amber needs to find the absolute value of Ϫ123.456 for her exam. What is the correct answer? a. 123.456 b. Ϫ123.456 c. 654.321 d. 1.2 ϫ 10 Ϫ3 –BASIC SKILLS FOR COLLEGE– LearningExpress Skill Builders • CHAPTER 4 81 17. Find the value of Ϫ12 2 . a. 144 b. Ϫ144 c. 24 d. Ϫ24 18. What is another way to write 3.0 ϫ 10 12 ? a. 3 billion b. 3 trillion c. 3 million d. 300,000 19. What is the square root of 121? a. 242 b. 12 c. 11 d. 14,641 20. Joe worked 3 months during the summer,earn- ing $522.75 during the first month, $498.25 in the second month and $530 in the third month. Calculate the mean of his paychecks. a. $517 b. $522.75 c. $1551 d. $530 21. Jane is a waitress. She made $153 on Friday, $167 on Saturday, and $103 on Sunday; then she spent $94 on Monday, and $19 on Tuesday. How much did she have left? a. $133 b. $423 c. $94 d. $310 22. Jesse ate ᎏ 1 2 ᎏ of a pizza and left the other half in his dorm room. Dennis came by and ate one- quarter of what was left there. How much of the original pie did Dennis eat? a. ᎏ 1 1 6 ᎏ b. ᎏ 1 6 ᎏ c. ᎏ 1 4 ᎏ d. ᎏ 1 8 ᎏ 23. At the Fabric Barn, flowered material sells for $3.95 per yard. If Missy buys 13.5 yards, which amount is closest to what she will spend? a. $38 b. $85 c. $52 d. $522 24. Teresa and Jan need to buy cups for their new hotel-restaurant in New Hampshire. At Ed’s Discount Diningware, 50 cups cost $75. At that price, how much would 200 cups cost? a. $300 b. $200 c. $225 d. $150 25. Change the fraction ᎏ 3 8 ᎏ into a percent. a. 2.67% b. 38% c. 37.5% d. 3.8% 26. Find ( ᎏ 2 3 ᎏ ) 2 . a. ᎏ 5 9 ᎏ b. ᎏ 1 3 ᎏ c. ᎏ 1 6 ᎏ d. ᎏ 4 9 ᎏ –ESSENTIAL PRACTICE WITH MATH– CHAPTER 4 • LearningExpress Skill Builders 82 27. Which of these equations is incorrect? a. ͙16 ෆ ϩ ͙9 ෆ ϭ ͙(16 ϩ ෆ 9) ෆ b. ͙4 ෆ ϫ ͙36 ෆ ϭ ͙(4 ϫ 3 ෆ 6) ෆ c. neither is incorrect d. both are incorrect 28. What is the median of the following group of numbers? 5101520253036 a. 36 b. 22.5 c. 20 d. 5 29. Melanie threw a party and bought 4 one-pound platters of deli meat. At the end of the party,there were ᎏ 2 5 ᎏ pound of roast beef, ᎏ 3 7 ᎏ pound of turkey breast, ᎏ 1 8 ᎏ pound of salami, and ᎏ 1 4 ᎏ pound of bologna remaining. What fraction of the origi- nal four pounds of meat was left after the party? a. 1 ᎏ 2 5 9 7 0 ᎏ pounds b. 1 ᎏ 2 5 8 9 0 ᎏ pounds c. 1 ᎏ 3 2 3 8 7 0 ᎏ pounds d. 1 ᎏ 2 5 8 7 0 ᎏ pounds 30. There are 92 girls in Professor Martin’s Intro to Anthropology class. This is 40% of all the stu- dents. What is the total number of students? a. 300 b. 192 c. 230 d. 92 GEOMETRY 1. If ᎏ B A D B ᎏ is ᎏ 2 3 ᎏ , ᎏ D BC E ᎏ is a. ᎏ 3 2 ᎏ b. ᎏ 2 3 ᎏ c. ᎏ 2 5 ᎏ d. ᎏ 5 2 ᎏ 2. One side of a regular pentagon is 25 mm. What is the perimeter of the pentagon? a. 100 mm b. 125 mm c. 150 mm d. 625 mm 3. If ABCD is a rectangle, what is the value of angle p? a. 50° b. 55° c. 65° d. It cannot be determined. AB C D 95 o 35 o p SBGeo_14 SBGeo_15 SBGeo_17 SBGeo_18 SBGeo_19 SBGeo_16 A BC DE BC DE SBGeo_20 –BASIC SKILLS FOR COLLEGE– LearningExpress Skill Builders • CHAPTER 4 83 4. A line contains the points (Ϫ3, 5) and (8, 10). What is the slope of the line? a. 1 b. ᎏ 1 5 1 ᎏ c. Ϫ1 d. Ϫ ᎏ 1 5 1 ᎏ 5. If quadrilateral Q is reflected across the y-axis, what will the result be? a. b. c. d. 6. If ABCD is a square with side = 4, what is its diag- onal? a. ͙8 ෆ b. 2 ͙2 ෆ c. 4 ͙2 ෆ d. 2 ͙8 ෆ SBGeo_14 SBGeo_15 SBGeo_17 SBGeo_18 SBGeo_19 SBGeo_16 AB C D 4 4 c SBGeo_20 X Y X Y X Y X Y X Y Q –ESSENTIAL PRACTICE WITH MATH– CHAPTER 4 • LearningExpress Skill Builders 84 7. What is the perimeter of the triangle below? a. 14 b. 16 c. 17 d. 30 8. A triangle has 2 sides that measure 14 cm and 17 cm respectively.Which of the following could be the length of the triangle’s third side? a. 33 cm b. 31 cm c. 25 cm d. 3 cm Use the diagram below to answer questions 9 and 10. 9. If in the figure above, OP, QR, ST, and UV are parallel, what is the value of angle a? a. 40 b. 50 c. 120 d. 140 10. What is the value of angle b? a. 40 b. 50 c. 120 d. 140 11. Refer to the three figures below: Which of the following statements are true? a. Figure M has 360° b. Figure N has 360° c. Figure O has 360° d. Both a and c are true. 12. What is the area of the parallelogram below? a. 80 b. 48 c. 40 d. 32 SBGeo_1 SBGeo_2 SBGeo_3 SBGeo_4 SBGeo_5 SBGeo_6 SBGeo_7 SBGeo_8 SBGeo_9 SBGeo_10 8 8 10 MN O OP QR ST UV b o a o 40 o 40 o 70 o 6 5 SBGeo_1 SBGeo_2 SBGeo_3 SBGeo_4 SBGeo_5 SBGeo_6 SBGeo_7 SBGeo_8 SBGeo_9 SBGeo_10 –BASIC SKILLS FOR COLLEGE– . Monday, 481 .6 miles on Tuesday,392 .8 miles on Wednesday,502 miles on Thursday,and 53.7 miles on Friday. What was the total distance she drove? a. 1351 .8 miles b. 180 3.6 miles c. 181 3.6 miles d. 2 286 .9. If Jack always spends $ 18 on gaming equip- ment in a week, how much does he spend in 6 weeks? a. $60 b. $ 48 c. $1 08 d. $ 180 15. Change 12 ᎏ 1 2 ᎏ % to a fraction. a. ᎏ 1 8 ᎏ b. ᎏ 12 1 .5 ᎏ c. ᎏ 1 1 0 2 0 ᎏ d. ᎏ 2 1 5 ᎏ 16 is the area of the parallelogram below? a. 80 b. 48 c. 40 d. 32 SBGeo_1 SBGeo_2 SBGeo_3 SBGeo_4 SBGeo_5 SBGeo_6 SBGeo_7 SBGeo _8 SBGeo_9 SBGeo_10 8 8 10 MN O OP QR ST UV b o a o 40 o 40 o 70 o 6 5 SBGeo_1