Quarterly Exam #3 Review Packet

Transcription

1 Name: Date: Read carefully and solve each showing all work. You may use a calculator but you must show all work. Remember: NO WORK - NO CREDIT! 1. Tanya spent 40% of the money she received on her birthday. What fraction of her money did she not spend? A. 3 4 B. 3 5 C. 3 8 D If n represents a number, what is an algebraic expression for the product of a number and ( 10)? A. 10n B. 10 n C. n + 10 D. ( n)( 10) 3. Simplify: 6n 4n A. 10n B. 2n C. 2n 2 D. 24n 2 page 1

2 4. Joe works a 40-hour week and makes $310. Which equation best represents the situation if J is the amount Joe earns per hour? A. 40 J = 310 B. J 40 = 310 C. 40J = 310 D. J 40 = Ban takes jelly beans with him everywhere. The graph shows the weight of jelly beans in various numbers of jars. Which of these describes the unit rate? A. 3 jars per 750 jelly beans B. 250 grams per jar C. 5 jars per 1500 jelly beans D grams per jar page 2

3 6. During a track meet, Jill ran 50 meters in 7.22 seconds. On average, how much time did it take her to cover each meter? (Round answer to the nearest hundredth of a second.) A seconds B seconds C seconds D seconds 7. Which of the following demonstrates the Distributive Property? A. 2(3 a) = a B. 4(a + b) = 4ab C. 2(a 3) = 2a + 6 D. 2 + a + c = a + (c + a) 8. The table shows the amounts earned from selling copies of four recipe books. Book Title Copies Sold Amount Quick Desserts 50 $ Lean Meals 35 $ Master the Grill 40 $ Easy Appetizers 10 $20.00 According to the data, which recipe book costs the most? A. Master the Grill B. Easy Appetizers C. Quick Desserts D. Lean Meals page 3

4 9. The drama club at school sells $15.00 coupon books. Their profit is 35% of the total sales. What is their profit on each book? A. $2.25 B. $8.50 C. $5.25 D. $ Paul collected data about raccoons in urban areas and displayed the results in the graph. The unit rate indicates the population density of raccoons. What is the population density of raccoons? A. 5 raccoons per square mile B. 80 raccoons per square mile C. 400 raccoons per square mile D. 600 raccoons per square mile page 4

5 11. Between 9:00 am and 4:00 pm the temperature rose from 68 to 85. What was the percentage increase in temperature between 9:00 am and 4:00 pm? A. 17% B. 25% C. 75% D. 80% 12. Simplify: 2(3 x) A. 6 2x B. 2x C. 3x D x 13. James got a flyer advertising a sale at the music store. Special Used CDs Any 2 for $9.98 (while supplies last) What would be the cost of 5 CDs? A. $10.00 B. $24.95 C. $45.98 D. $49.90 page 5

6 14. A large box holds 50 tangerines, and a small box holds 25 tangerines. Arlo loaded into his truck 36 small and 6 large boxes filled with tangerines. What percent of all the tangerines were in small boxes? A. 40% B. 60% C. 75% D. none of these 15. A color laser printer marked with a price of $699 goes on sale for 30% off. If Clarence has already saved up $325, how much more money does Clarence need? A. $ B. $ C. $ D. $ Stephanie saw in an ad in the paper that her favorite kind of perfume was on sale for 25% off. If the sale price was $15, what was the original price of the perfume? A. $28 B. $24 C. $22 D. $20 page 6

7 17. During the first semester Carlos grade average was 80. He set a goal to raise his average to 84 for the second semester. By what percent must Carlos raise his grade average? A. 3% B. 5% C. 6% D. 7% 18. 2( 3)( 4) 6( 2) = A. 2 B. 1 C. 1 D Out of a total of 3000 available parking spaces in a mall parking lot, 1875 are taken. What percent of the parking spaces are taken? A % B. 62.5% C. 72% D. 80.5% 20. Simplify: 9b + 4a + 2b 6a A. 11b 2a B. 11b + 10a C. 11b 10a D. 9b 2a page 7

8 21. Jermaine is looking at a 30 square foot marble countertop that costs $ What is the cost of the marble countertop per square foot? A. $5.89 B. $5.43 C. $4.91 D. none of these 22. Simplify: 4(a 3) A. 4a 12 B. 7a C. a D. 4a A store offers a 30% discount on a coat that originally sold for $120. The coat still does not sell, so the store offers another 30% off the sale price. What is the difference between this price and the price of the coat had it been marked down 60% all at once? A. $4.60 B. $5.80 C. $7.40 D. $10.80 page 8

9 24. Simplify: (7x + 14) (9x 1) A. 2x + 15 B. 16x + 13 C. 16x + 14 D. 16x Amtrak fares will increase 8% next month. Approximately how much will a ticket to New York which now sells for $ cost next month? A. $380 B. $400 C. $450 D. $ Simplify: (-3) A. 36 B. 11 C. 6 D Simplify: 9(5y 4) + 8 A. 14y 12 B. 45y + 28 C. 45y 28 D. 45y 44 page 9

10 28. A shoe store has a sale where first you take 20% off the list price, then you take an additional 10% off the sale price. With this type of discounting, what is the final price of a $50 pair of shoes? A. $29 B. $32 C. $35 D. $ Sam bought a video for $20.00 plus sales tax of 8%. What was the amount of tax paid? A. $1.20 B. $1.40 C. $1.60 D. $ Simplify: 26 2( ) A. 177 B. 21 C. 6 D Samantha is investing $7000 in a savings account that earns 4% simple annual interest. How much interest will she earn after 5 years? A. $ B. $ C. $2800 D. $3500 page 10

11 32. One-half of a number decreased by 3 is 21. What is the equation for this statement? A x = 21 B. 1 2 x 3 = 21 C. 2x 3 = 21 D. 1 (x 3) = The expression 4(5 3y) + 3(y + 2) is simplified in the following steps. Step 1 4(5 3y) + 3(y + 2) = 20 12y + 3y + 6 Step 2 = 20 9y + 6 Step 3 = y Step 4 = 26 9y Which property was used to go from Step 2 to Step 3? A. commutative property B. additive identity C. associative property D. distributive property 34. Complete: 8n +? = 0 A. 8 n B. 8 n C. 1 8n D. 8n page 11

12 35. Simplify: (2x + 1)3 + 4x A. 10x + 1 B. 9x C. 13x D. 10x Write an equation that represents the following statement. Five less than the product of r and two is 3. A. 2r 5 = 3 B. 5 2r = 3 C. 2 r 5 = 3 D. r2 5 = Which expression is equal to 3(5x 6) 2(4x + 5)? A. 7x 1 B. 9x 1 C. 9x 13 D. 7x Simplify: 3x 5x + 9x 12x A. x B. 5x C. 12x 17x D. 5x page 12

13 39. Simplify: (12x + 7) (3x + 4) A. 8x + 3 B. 8x + 11 C. 9x + 3 D. 9x Simplify: 4(2c + 3) A. 8c 12 B. 8c + 3 C. 8c + 12 D. 8c Write an equation that represents the following: Eight less than three times a number equals 17. A. 3(x 8) = 17 B. 8 3x = 17 C. 3x 8 = 17 D. 3(8 x) = If Matthew gets $10 per hour to mow the lawn and $8 extra for raking up the clippings, write a formula that could be used to determine how much money (M) he would make after working h hours. (Assume that he always rakes up the clippings.) A. M = 18h B. M = 8h + 10 C. M = 10h + 8 D. M = h page 13

14 43. Write an equation that could be used to solve the following problem. A total of 198 plates were served today at the local soup kitchen. If this was an unusually large crowd, how many people (p) normally eat at the soup kitchen given that 2 more than 4 times as many plates as normal were served today? A. 6p = 198 B. 4p + 2 = 198 C. 2p + 4 = 198 D. 2(p + 4) = Brandon poured what he estimated to be 32 ounces of oil into his car s engine. From the markings on the container, he later determined that he had actually poured 36 ounces. What was the percent error in his estimate? A. 12.5% B. 10.5% C. 8.5% D. 6.5% 45. The cost of a limosine ride includes a flat fee of $50 and an additional $3.75 per mile traveled. Write a formula which will give T, the total cost in dollars of a limosine ride for n miles. A. T = n B. T = n C. T = 53.75n D. T = n page 14

15 46. Paul s Plumbing charges $35 for a house call plus $60 per hour. The total cost of a particular visit was $295. Which equation could be used to find the number of hours, h, the plumber worked? A. 35h + 60 = 295 B. h = C h = 295 D. h = Solve for n: n = 84 A. n = 47 B. n = 37 C. n = 37 D. n = Solve: 14m 6m 9 = 39 A. 1 B. 2 C. 4 D Solve: 3h = 8 A. 24 B C D. 24 page 15

16 50. Holly put $1800 into a certificate of deposit. The simple annual interest rate is 3%. How many years will it take her to earn $162? A. 4 years B. 3 years C. 2 years D. 1 year 51. If 2x + 4 = 14, then x = A. 5 B. 7 C. 9 D Solve: 11p 8p 7 = 35 A. 3 B. 9 C. 14 D Find the solution: 3(4x 3) = 99 A. x = 15 2 B. x = 9 C. x = 11 D. x = 33 page 16

17 54. Determine the solution to 8(3x 5) = 80 A. x = 5 3 B. x = C. x = 5 D. x = Find the solution: 9(2x 1) = 45 A. x = 6 B. x = 4 C. x = 23 9 D. x = Two less than three-fourths of a number is ten. What is the number? A. 6 B. 9 C D A charter bus service charges a flat fee of $175, plus $2.50 per mile (one way distance) for a bus. If the band paid exactly $1875 for three buses, how far did the band travel? A. 540 miles B. 375 miles C. 180 miles D. 85 miles page 17

18 58. A cookie company normally makes boxes that are 15 cm by 30 cm by 40 cm. One day, the machine was set incorrectly and produced boxes that measured 16 cm by 30 cm by 39 cm. What percent error in volume was the machine making? A. 4.5% B. 5% C. 3% D. 4% 59. Mr. Weller paid $ interest for a two-year loan, at 3.5% simple annual interest. How much money did he borrow? A. $5,000 B. $10,000 C. $12,000 D. $15, Which of the following is equivalent to 2(5x + 6) = 29? A. 10x + 6 = 29 B. 10x + 12 = 29 C. 16x = 29 D. 22x = 29 page 18