NAME: 8th grade math - Semester Exam Review

Transcription

1 NAME: 8th grade math - Semester Exam Review MODULE 7 ANGLE RELATIONSHIPS IN PARALLEL LINES AND TRIANGLES 1) In the figure, the angles are formed by a transversal and two parallel lines. Which angles seem to be congruent? A) ; B) ; C) ; D) ; ) If, what is the value of? A) 62 C) 152 B) 90 D) 180 3) If and measures, what is the measure of? A) B) 4) If and measures, what is the measure of?

2 5) Which of the angles in the figure are supplementary to 3? 6) In the figure,. Which statement is true? 7) In, is more than and is more than. What is to the nearest tenth of a degree? 8) If the congruent angles of an isosceles triangle each measure, what is the measure of the third angle? 9). Find f.

3 10) Find the angle measures for this isosceles triangle. 11) Which angle is NOT congruent to? 12) Find the measure of each angle in the triangle. xº (3x 14)º A) 41, 49, 90 B) 19, 71, 90 C) 26, 64, 90 D) 30, 60, 90 13) Find the value of x. (The figure may not be drawn to scale.) A) 162 B) 72 C) 18 D) 36 14) Find the value of x. (The figure may not be drawn to scale.) A) 162 B) 9 C) 99 D) 81

4 15) In the triangle, and. What is? A) B) C) D) 16) If, what is the relationship between and? A) B) C) D) MODULE 9 - VOLUME 17) Find the volume of the cylinder. Round your answer to the nearest tenth. 7mm 4 mm A) 87.9 mm 3 C) mm 3 B) mm 3 D) mm 3 18) A cylindrical barrel has a radius of 7.6 ft and a height of 10.8 ft. Tripling which dimension(s) will triple the volume of the barrel? A) height C) both height and radius B) radius D) neither height nor radius

5 19) Find the volume of the figure. Use 3.14 for π. If necessary, round your answer to the nearest tenth. 18 ft 8.5 ft A) ft 3 C) 75.6 ft 3 B) ft 3 D) ft 3 20) A conical tent has a radius of 4.1 m and a height of 10.4 m. Doubling which dimension(s) will quadruple the volume of the tent? A) height C) both height and radius B) radius D) neither height nor radius 21) Find the volume of the cone. Use 3.14 for π. Round your answer to the nearest tenth m 5.5 m A) 31.7 m 3 C) 1,272.8 m 3 B) m 3 D) 77.1 m 3 22) A county has constructed a conical building to store sand. The cone has a height of 195 ft and a diameter of 307 ft. Find the volume of this building to the nearest hundredth. A) 1,531, ft 3 C) 31, ft 3 B) 14,427, ft 3 D) 4,809, ft 3 23) Compare the volume and surface area of a sphere with a radius of 2 cm with that of a cube that has sides measuring 3.22 cm. A) The volume of the cube is greater than the volume of the sphere, but the sphere has a greater surface area. B) The volume of the sphere is approximately equal to the volume of the cube, but the cube has a greater surface area. C) The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area. D) The sphere and the cube have approximately the same volume and surface area. 24) A cylindrical pond has a 12 ft diameter, and the water in the pond is 4 ft deep. Water is being drained from the pond at a rate of 1 cubic foot per minute. How long will it take to drain the pond? Use 3.14 for π. A) min C) min B) min D) 48 min

6 Find the volume of the given prism. Round to the nearest tenth if necessary. 25) A) 17 m B) 34 m C) 8.5 m D) 1 m 26) Find the volume of the composite space figure to the nearest whole number. 27) A) 170 cm B) 180 cm C) 120 cm D) 60 cm Find the volume of the cylinder in terms of. A) 140 in. B) 490 in. C) 70 in. D) 245 in. 28) The volume of a cylinder is 980 in.. The height of the cylinder is 20 in. What is the radius of the cylinder? A) 7 in. B) 49 in. C) 327 in. D) 18 in.

7 Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit. 29) A) 262 mm B) 524 mm C) 314 mm D) 105 mm MODULE 10 SURFACE AREA 30) Find the surface area of the prism formed by the net m 3.8 m 4 m 3.8 m 11.5 m A) m 2 C) m 2 B) m 2 D) 69.2 m 2 31) Find the surface area of the cylinder formed by the net. Use 3.14 for π. Round your answer to the nearest tenth. 6 ft 15.6 ft A) ft 2 C) ft 2 B) 520 ft 2 D) ft 2 32) Find the surface area of the cylinder in terms of. 8 in. 11 in. Not drawn to scale A) 688 in. B) 304 in. C) 176 in. D) 208 in.

8 33) What is the surface area of the right rectangular prism shown in the figure? 5 m 7 m A) B) C) D) 9 m 34) The radius of the base of a cylinder is 28 cm and its height is 48 cm. Find the surface area of the cylinder in terms of. A) 4332 cm B) 4256 cm C) 4208 cm D) 4228 cm 35) Find the surface area of the cylinder to the nearest whole number. 20 in. 10 in. Not drawn to scale A) 1257 in. B) 4200 in. C) 3770 in. D) in. 36) Allison is planning to cover the lateral surface of a large cylindrical garbage can with decorative fabric for a theme party. The can has a diameter of 3 feet and a height of 3.5 feet. How much fabric does she need? Round to the nearest square foot. A) 123 ft B) 61 ft C) 33 ft D) 66 ft 37) Find the lateral area of the cone to the nearest whole number. Not drawn to scale A) 7540 m B) 3770 m C) 4712 m D) 9425 m

9 MODULE 11 EQUATIONS AND INEQUALITIES 38) Solve. 39) Solve. 40) Solve. 41) Solve. 42) Solve. Solve the equation. 43) 2x 26 = 10 A) 8 B) 5 C) 2 D) 18 44) 6 + 3x = 9 A) 1 B) 6 C) 5 D) 3 45) 3x + 6 = 9 A) 3 B) 5 C) 3 D) 1 46) A) B) 3 C) D) 3 47) A) 1 B) 3 C) 3 D) 1 48) A hockey season ticket holder pays $72.48 for her tickets plus $6.00 for a program each game. A second person pays $18.08 for a ticket to every game, but doesn t buy programs. In how many games will they have paid the same amount? A) 5 C) 13 B) 4 D) 6 49) A video store charges a monthly membership fee of $7.50, but the charge to rent each movie is only $1.00 per movie. Another store has no membership fee, but it costs $2.50 to rent each movie. How many movies need to be rented each month for the total fees to be the same from either company?

10 A) 9 movies C) 3 movies B) 5 movies D) 7 movies 50) An amusement park has two types of season passes. Plan 1 charges a one-time fee of $ for admission plus $8.00 every trip for parking. Plan 2 charges a one-time fee of $ for parking plus $13.00 every trip for admission. For what number of trips is the cost of these plans the same? A) 6 trips C) 3 trips B) 10 trips D) 21 trips 51) A college basketball team offers season passes for $85.00, but you pay $4.45 for a program at each game. Non-season-pass holders pay $13.89 for admission to each game, but the game program is free. For what number of games is the cost of these plans the same? A) 20 games C) 4 games B) 9 games D) 7 games 52) A local water park has two types of season passes. Plan A costs a one-time fee of $142 for admission plus $10 for parking every trip. Plan B costs a one-time fee of $48 for parking plus $22 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value? A) 8 C) 16 B) 7 D) 3 53) A hockey season ticket holder pays $72.48 for her tickets plus $6.00 for a program each game. A second person pays $18.08 for a ticket to every game, but doesn t buy programs. In how many games will they have paid the same amount? A) 5 C) 13 B) 4 D) 6 54) Your middle school is having a carnival. Admission into the carnival is $8, and each game inside the carnival costs $0.50. Which of the following inequalities represents the possible number of games that can be played with $20? A) B) C) D) Solve and graph the inequality. 55) A) m 6 C) m B) m 6 D) m ) A) x 0 C) x B) x 0 D) x

11 Solve the inequality. 57) A) B) C) D) 58) Four times the sum of a number and 15 is at least 120. Let x represent the number. Find all possible values for x. A) x 26 B) x 15 C) x 15 D) x 26 59) You are planning a skating party at a rink that charges a basic fee of $6.00 and $6.50 per person for catered parties. You don't want to spend more than $ Write and solve an inequality to find the number of friends you can invite. MODULE 14 SCATTER PLOTS 60) A lawn specialist measured the average temperature during different growing periods and the amount that the grass grew during each period. The scatter plot shows the results of his study. Use the data to predict the growth that would occur if the temperature were 55 F. A) 14 centimeters C) 10 centimeters B) 5.6 centimeters D) 17.5 centimeters 61) The scatter plot shows the relationship between the weekly total sales ($) and the number of different rug designs a rug store has. Based on this relationship, predict what the total sales will be when the store has 110 different rug designs. A) $31,000 C) $38,000 B) $0 D) $35,000

12 62) The graph shows the relationship between the number of members in a club and the number of years after the club began. Based on the trend shown in this data, predict the year in which the club will have no members. A) 1 year B) 3 years C) 6 years D) 8 years 63) the graph shows the amount of money in a savings account each month. Based on the data, which is the best prediction for the amount of money in the account after 8 months? A) $100 B) $200 C) $300 D) $400 64) Andrew surveyed 25 students in an elementary school. He took down their ages and heights, in inches, and recorded the data in a scatter plot. He drew a line of best fit for the data. How would you describe the slope of that line? A) no slope C) a negative slope B) a positive slope D) slope = 0 65) The equation of a best-fit line for a collection of data is, where x is the price of a fruit bar and y is the number of fruit bars that sold. Interpret the linear model to describe the trend that the data revealed. A) For each $1 the price increased, the number of fruit bars that sold increased by 20. The maximum number of fruit bars sold is 60. B) For each $1 the price decreased, the number of fruit bars that sold increased by 20. The maximum number of fruit bars sold is 60. C) For each $1 the price increased, the number of fruit bars that sold increased by 20. The maximum number of fruit bars sold is 80. D) For each $1 the price decreased, the number of fruit bars that sold increased by 20. The maximum number of fruit bars sold is 80.

13 66) Find an equation in slope-intercept form for the line of best fit, and tell what the slope and intercepts represent in terms of the data it models. Give the slope and intercept to the nearest integer. Cost of Family Vacation A) The slope of the best-fit line is 200, and the y-intercept is The slope, $200 per day, is the typical daily cost, for instance, hotel and meal expenses. The y-intercept, $1000, does not depend on the number of days the vacation lasts. It is a one-time cost, such as air fare. B) The slope of the best-fit line is 1000, and the y-intercept is 200. The slope, $1000 per day, is the typical daily cost; for instance, hotel and meal expenses. The y-intercept, $200, does not depend on the number of days the vacation lasts. It is a one-time cost, such as air fare. C) The slope of the best-fit line is 1000, and the y-intercept is 200. The slope, $1000, does not depend on the number of days the vacation lasts. It is a one-time cost, such as air fare. The y-intercept, $200 per day, is the typical daily cost; for instance, hotel and meal expenses. D) The slope of the best-fit line is 200, and the y-intercept is The slope, $200, does not depend on the number of days the vacation lasts. It is a one-time cost, such as air fare. The y-intercept, $1000 per day, is the typical daily cost; for instance, hotel and meal expenses.

14 67) Find an equation in slope-intercept for the line of best fit, and tell what the slope and intercepts represent in terms of the data it models. Give the slope and intercept to the nearest integer. A) B) C) D) The slope of the best-fit line is 2, and the y-intercept is 4. The slope, $2 per book, is the typical cost per book. The y-intercept, $4, is the cost of ordering no books; which is the shipping cost. The slope of the best-fit line is 4, and the y-intercept is 2. The slope, $4 per book, is the typical cost per book. The y-intercept, $2, is the cost of ordering no books; which is the shipping cost. The slope of the best-fit line is 2, and the y-intercept is 4. The slope, $2, is the typical cost per book. The y-intercept, $4, shows that the first two books ordered are free. The slope of the best-fit line is 4, and the y-intercept is 2. The slope, $4, is the typical cost per book. The y-intercept, $2, shows that there is a coupon or other discount worth $2. 68) Mr. Radmanovic and Mrs. Chin both fill up their cars with gasoline at the beginning of the week. The equation compares the number of miles driven, x, to the amount of gasoline in the tank, f(x). Find and compare the y-intercepts for the models and interpret their real-world meanings. Mr. Radmanovic s Car Mrs. Chin s Car Miles Driven 0 8 Gasoline Remaining (gallons) A) The y-intercept for Mr. Radmanovic s car is 20. The y-intercept for Mrs. Chin s car is Mr. Radmanovic s car has a larger gasoline tank than Mrs. Chin s car does. B) The y-intercept for Mr. Radmanovic s car is The y-intercept for Mrs. Chin s car is Mr. Radmanovic s car has a larger gasoline tank than Mrs. Chin s car does. C) The y-intercept for Mr. Radmanovic s car is The y-intercept for Mrs. Chin s car is 13. Mr. Radmanovic s car has a larger gasoline tank than Mrs. Chin s car does. D) The y-intercept for Mr. Radmanovic s car is 20. The y-intercept for Mrs. Chin s car is 40. Mrs. Chin s car gets better gas mileage than Mr. Radmanovic s car does.

15 MODULE 15 - SAMPLING 69) About 26% of all bicycles in the United States have off-road tires. Jing surveys a random sample of bicycles from two towns. Compare the samples with the national percentage. Off-road Bicycle Tires Sample Number with Off-Road Tires Number without Off-Road Tires Town A 12 8 Town B 5 15 A) Town A: 150%; Town B: 33% The data suggest that the percent of bicycles with off-road tires in Town B is close to the national percent, but the percent of bicycles with off-road tires in Town A is greater than the national percent. B) Town A: 12%; Town B: 5% The data suggest that the percents of bicycles with off-road tires in Town A and Town B are less than the national percent. C) Town A: 60%; Town B: 25% The data suggest that the percent of bicycles with off-road tires in Town B is close to the national percent, but the percent of bicycles with off-road tires in Town A is greater than the national percent. D) Town A: 40%; Town B: 75% The data suggest that the percents of bicycles with off-road tires in Town A and Town B are greater than the national percent. 70) Determine whether the sample may be biased. Explain. The Candlelit-Dinner Candle Store surveys its Monday customers to find out their opinion on a new scented candle. A) The sample is not biased. It is a random sample. B) The sample is biased. The sample does not include customers who shop there on days other than Monday. 71) Determine whether the sample may be biased. Explain. A TV station wants to get the opinions of viewers on the look of a new game-show set. The station s staff calls random people in the phone book. A) The sample is not biased. It is a random sample. B) The sample is biased. Some people who watch the show are not listed in the phone book.

16 72) Determine whether the claim is valid. Explain. Timone conducts a survey to find out what kind of beverage adults in his town prefer. Sample: 20 adults at a coffee shop Question: What is your favorite beverage? Claim: Coffee is the most popular beverage among adults in Timone s town. A) The claim is probably not valid. The sample is not biased because adults at a coffee shop may be more likely to drink coffee than other adults would. B) The claim may be valid. The sample is not biased because adults at a coffee shop may be more likely to drink coffee than other adults would. C) The claim may be valid. The sample is biased because adults at a coffee shop may be more likely to drink coffee than other adults would. D) The claim is probably not valid. The sample is biased because adults at a coffee shop may be more likely to drink coffee than other adults would. 73) An equestrian center is surveying riders to determine which type of horse is the preferred riding horse. Identify which sampling method is random. A) The equestrian center randomly surveys 50 of its riders. B) The equestrian center surveys every tenth rider at the stable. C) The equestrian center manager surveys 50 of his friends. D) The equestrian center surveys the 50 best riders. 74) A newspaper is surveying voters from Idaho regarding voting issues. Identify the appropriate population. A) people living in the state of Idaho B) voters living in Boise, the capital of Idaho C) people of voting age in the U.S. D) voters living in the state of Idaho 75) A high school has 1,600 students. In a random sample of 50 students, 18 own a cat. Predict the number of students at the high school who own a cat. A) 18 C) 576 B) 325 D) 1,024

17 76) Lucinda surveyed 50 students in her school to find out how many students enjoy playing sports. The results are shown in the table. Do you think Lucinda chose a random sample? Why or why not? Students in Lucinda s School Total Number of People Number of People who Enjoy Sports Population Sample A) Yes, 80% of the population enjoy sports, and 80% of Lucinda s sample enjoy sports. B) No, 960 students in the population enjoy sports, but only 40 students in Lucinda s sample enjoy sports. C) Yes, 125% of the population enjoy sports, and 125% of Lucinda s sample enjoy sports. D) No, 96% of the population enjoy sports, but only 80% of Lucinda s sample enjoy sports. 77) Yellowstone Middle School has 928 students. Teresa surveys a random sample of 24 students and finds that 6 are taking art. How many students at the school are likely to be taking art? A) 144 C) 696 B) 232 D) 1,160 78) The results of a survey show that soccer is the favorite sport for 32 of 50 people. Which percent is closest to the probability that a person s favorite sport will NOT be soccer? A) 18% C) 36% B) 32% D) 64% 79) Leah is an administrator for a large school district. She wants to know how many hours students spend on homework each week. She asks the question to 250 randomly selected eighth grade students. The results are shown in the table. Which of the following inferences about the eighth grade students in the school district are valid? Hours per week Students Less than to less than to less than 6 90 At least 6 28 A) There are more students who spend at least 4 hours per week on homework than students who spend less than 4 hours per week on homework. B) About 11% of students in the school district spend at least 6 hours per week on homework. C) About 50% of students who spend less than 4 hours per week on homework spend less than 2 hours per week. D) About 1 of every 3 students who spend at least 4 hours per week on homework spend at least 6 hours per week. 80) Find the mean absolute deviation for this data set. 2, 3, 1, 5, 4 A) 2,1 C) 2 B) 1 D) ) The ages, in years, of Sharice s family members are shown. What is the mean absolute deviation of the data set? 2, 5, 18, 20, 31, 45, 76, 54, 34, 82 A) years B) 25.4 years C) 32.5 years D) 36.7 years

18 MODULE 16 MANAGING YOUR MONEY AND PLANNING YOUR FUTURE 82) Carmelo puts $2, into savings bonds that pay a simple interest rate of 3.4%. How much money will the bonds be worth at the end of 5.5 years? A) $7, C) $2, B) $2, D) $ ) A new house costs $260, Sara wants to buy the house and needs $35, for a down payment. Sara currently has $28, in a savings account that earns 9% simple interest. How long must she keep the money in the savings account in order to have enough for the down payment on the house? A) 92.1 years C) 3 years B) 14 years D) 3 months 84) A bank loans a customer $87,000 for a period of 15 years. The simple interest rate of the loan is 9.2%. What is the total amount that the customer will need to pay the bank over the 15 years? A) $1,305,000 C) $207,060 B) $12,093,000 D) $120,060 85) Kayleigh wants to buy a car that costs $17, She deposits $14, into a savings account that earns 8% simple interest. How long must Kayleigh leave the money in the savings account to be able to buy the car? A) 16 years C) 3 years B) 4.5 years D) 3 months 86) Oki received a statement on her Certificate of Deposit showing that her investment had returned $4,836 over its life. If the Certificate of Deposit pays a simple interest rate of 3.1% and her initial investment was $19,500, how long had the money been invested? A) 80 months C) 8 years B) 10.8 years D) months 87) Mr. Sun borrowed $15,600 for 54 months at simple interest to pay for a new swimming pool. If Mr. Sun paid the bank a total of $21,567.00, what was the simple interest rate of the loan? A) 16.1% C) 0.7% B) 6.1% D) 8.5% 88) Angie has $1,032 in her savings account. If the bank pays 3.5% simple interest on savings, how much does she earn in one year? A) $36.12 C) $ B) $46.44 D) $ ) Nicole deposited $2,000 at 6% simple interest. How long will it be before she has $2,600 in her account? A) 4 yr C) 6 yr B) 5 yr D) 7 yr 90) Terri has a balance of $795 on his credit card. He is currently making monthly credit card payments of $20 a month. What will happen if he increases the amount he is paying by $18 a month? A) It will take him longer to repay the loan. C) His interest rate will increase. B) It will take him less time to repay the loan. D) His interest rate will decrease.

19 91) A small-business owner is comparing loan offers from 3 different banks. The offers are shown on the table below. Bank Earnings Bank Money Penny Bank Customer s Bank Amount of loan $7,500 $7,500 $7,500 Interest rate 5.25% 6.05% 5.10% Length of loan 5 years 60 months 4 years Which bank is offering the best deal? A) Earnings Bank B) Money Penny Bank C) Customer s Bank 92) Ashley is making the following purchases with her credit card: skateboard $325, helmet $35, and kneepads $28. The interest rate for her card is 15.9%. What other information do you need to find the total cost of her loan including interest payments? A) The date of her purchases C) Her past interest rate B) Amount of monthly payments D) Her credit score 93) Fill in the blanks. The following statement can be interpreted as a(n) of using a. This form of payment only allows you to make purchases when you have enough money in your account to cover the entire purchase or you will have to pay an overdraft fee. A) advantage; credit card; C) advantage; debit card B) disadvantage; credit card D) disadvantage; debit card 94) The following is a list of purchases Thomas made last week. What is the ratio of cash and debit card purchases to all other purchases? Monday Tuesday Tuesday Thursday Friday Sunday used a gift card to purchase gas for his truck gave a cashier $20.65 to pay for a t-shirt paid a bill with an online payment that withdrew the money from his checking account used a $10 bill to pay for lunch wrote a check to purchase a book used a card to pay for a computer and the money was withdrawn from his checking account immediately A) 4 : 1 C) 2 : 3 B) 2 : 1 D) 1 : 1 95) Which of the following situations describes a person making a financially responsible decision? A) Samantha s mother gave her $55.00 to buy groceries. She buys $21.78 worth of food and spends the rest of the money on science-fiction books. B) Timothy has $74.95 in his savings account. He buys a $ game console with his credit card. C) Jose is saving to buy a graphing calculator. His father offers him $12 an hour to cut the grass. Jose goes to the mall with his friends and does not cut the grass. D) Fiona has $25 to spend on a $7 notebook. The notebooks are on sale, 1 for $7 or 2 for $11. She buys 2 notebooks.

20 96) What is a potential benefit of making financially responsible decisions? A) Having a high credit score B) Having less money in savings account C) Not being able to finance a car D) Being charged a higher credit card interest rate 97) Laura rents an apartment for $ a month, and her rent is due tomorrow. She has $2, in her savings account and $ in her checking account. Laura buys a new furniture set for her living room for $ and uses her debit card to make the purchase. Was Laura s decision financially responsible or financially irresponsible, and why? A) Responsible; She has enough in savings to pay for the furniture and rent and have money left over. B) Irresponsible; The furniture and rent use almost all of Laura s money. C) Responsible; The rent costs more than the furniture, so the furniture is a good deal. D) Irresponsible; Laura will have to pay interest on the furniture because of the method of payment she used. 98) It will cost Amber an estimated $3,723 a year in tuition to attend her preferred college. She has been putting $350 a month in a savings account for the past 3 years. The account does not earn interest. Her parents will give her half of what she has saved towards her college expenses. Will Amber have enough to pay for 4 years of tuition? If so, how much money will she have left over to pay for other expenses? If not, how much more money does she need? A) Yes; she will have $477 for other expenses B) Yes; she will have $4,008 for other expenses C) No; she needs to save an additional $2,292. D) No; she needs to save an additional $1,908 99) You deposit $400 in an account that earns 6% compounded annually (once per year). What is the balance in your account after 5 years? Round your answer to the nearest cent. A) $ B) $2, C) $ D) $ ) Find the balance on a deposit of $1,150 that earns 9% interest compounded annually for 2 years. A) $1, B) $1, C) $2, D) $2,507.00