Module 2- A Functions A. 16, 18, 20, 22 B. 16, 19, 20, 21 C. 16, 20, 24, 28 D. 16, 22, 24, 26

Size: px

Start display at page:

Download "Module 2- A Functions A. 16, 18, 20, 22 B. 16, 19, 20, 21 C. 16, 20, 24, 28 D. 16, 22, 24, 26"

Shanon Clarke
5 years ago
Views:

Name: Date: 1. Lori counted her marbles by 4 to make a number pattern 4, 8, 12, 16 Which of these number patterns uses the same rule? A. 16, 18, 20, 22 B. 16, 19, 20, 21. 16, 20, 24, 28 D.

1 Name: Date: 1. Lori counted her marbles by 4 to make a number pattern 4, 8, 12, 16 Which of these number patterns uses the same rule? A. 16, 18, 20, 22 B. 16, 19, 20, , 20, 24, 28 D. 16, 22, 24, Marta used a rule to combine the numbers in column A and column B to get the number in column. Which of the following was the rule Marta used? A. Add the number in column A to the number next to it in the column B. B. Subtract the number in column B from the number next to it in column A.. Multiply the number in column A times the number next to it in column B. D. Divide the number in column A by the number next to it in column B. 3. Which of the following rules could be used to make the number pattern shown below? 1024, 256, 64, 16 A. Subtract 4 B. Add 4. Multiply by 4 D. Divide by 4 page 1

2 4. Anju has a new puppy. She made a chart to show the growth of her puppy. Based on the chart, the puppy A. lost 2 oz. each week B. lost 2 oz. each day. gained 2 oz. each week D. gained 2 oz. each day 5. Which pattern of numbers follows the rule: divide by 2 then add 4? A. 10, 8, 32, 30, 120, 118, 472 B. 40, 20, 16, 8, 4, 2, , 60, 64, 32, 36, 18, 22 D. 320, 160, 80, 40, 20, 10, 5 page 2

3 6. Abner s Market has lemons on sale. The table below shows the number of lemons that can be bought for different amounts of money. Lemon Prices Number of Lemons Total Price 10 $ $ $ $ $5.00 Based on the information in the table, what happens to the number of lemons each time the total price goes up by $1.00? A. The number of lemons doubles. B. The number of lemons is multiplied by 10.. The number of lemons increases by 60. D. The number of lemons increases by If the pattern on the graph continues, which rule can be used to find the second number in the ordered pair (5, )? A. multiply the first number by 2, then subtract 2 B. multiply the first number by 3, then subtract 4. subtract 1 from the first number D. subtract 2 from the first number page 3

4 8. Fen is playing a computer game. When she enters a number into the computer, a different number shows on the screen. When 3 is entered, 21 shows on the screen. When 6 is entered, 42 shows on the screen. When 8 is entered, 56 shows on the screen. What does the computer game tell the computer to do with a number? A. Add 18 to the number. B. Add 48 to the number.. Multiply the number by 7. D. Multiply the number by Terry makes a pattern using groups of dots. The first four groups of dots n the pattern are shown below. Terry continues the pattern. Which rule could be used to find the number of dots in the next group? A. add 3 to the number of dots in group 4 B. subtract 3 from the number of dots in group 4. add 5 to the number of dots in group 4 D. subtract 5 from the number of dots in group The pattern below goes from left to right. What is happening in this pattern? A. It doubles. B. It subtracts 6.. It subtracts 3. D. It subtracts half. page 4

5 11. What number is missing from the sequence? 0, 4, 8,, 16, 20,... A. 10 B D What are the next two terms in the sequence? 59, 51, 43, 35,,,... A. 34, 26 B. 30, , 20 D. 27, The rule for the pattern below is to multiply the preceding term by 3. 2, 6, 18,... ontinuing with this pattern, what number would be the 5th term? A. 1,458 B D Malcolm drew arrows on this number line to make a number pattern. What is the next number an arrow should point to on the number line? A. 165 B D. 180 page 5

6 15. The table below shows the distance required for a car to stop when it is traveling at different speeds. Speed Distance Required to Stop 30 miles per hour 6 car lengths 40 miles per hour 9 car lengths 50 miles per hour 13 car lengths 60 miles per hour 18 car lengths 70 miles per hour 24 car lengths If the pattern continues, what is the distance required for a car to stop if it is traveling at a speed of 80 miles per hour? A. 27 car lengths B. 28 car lengths. 30 car lengths D. 31 car lengths 16. Look at this pattern. 1, 5, 3, 7, 5, 9, 7, 11,?,? What are the next two numbers in the pattern? 17. Mrs. onstantine wrote this pattern on the board.?,, 202, 289, 376, 463 What is the first number of the pattern? A. 1 B D. 115 page 6

7 18. Which graph represents a linear function of x? A. B.. D. page 7

8 19. In which of the following graphs is y a function of x? A. B.. D. 20. Which table represents y as a function of x? A. x y x y B. x y D. x y page 8

9 21. Which graph does not represent a function? A. B.. D. page 9

10 22. Gina has a summer job that pays $5 per hour. Which graph shows the relationship between the number of hours Gina works and the amount of money she earns? A. B.. D. page 10

11 23. Look at this graph of a relation. Which two points could be removed to make this relation a function? A. points P and Q B. points Q and R. points Q and T D. points R and S page 11

12 24. Bert graphs a function. The domain of the function is 3 x 2. The range of the function is 1 y 6. The y-intercept of the function is 1. Which graph could represent Bert s function? A. B.. D. page 12

13 25. Which relation is a function? A. {( 1, 3), ( 2, 6), (0, 0), ( 2, 2)} B. {( 2, 2), (0, 0), (1, 1), (2, 2)}. {(4, 0), (4, 1), (4, 2), (4, 3)} D. {(7, 4), (8, 8), (10, 8), (10, 10)} 26. Which relation is a function? A. Input Output B. Input Output. Input Output D. Input Output page 13

14 27. The table below shows a relationship between x and y. x y Which of these graphs represents this relationship? A. B.. D. page 14

15 28. Given f (x) = 3x 2 + 5, what is the range of the function? A. all real numbers less than or equal to 5 B. all integers less than or equal to 5. all nonnegative real numbers D. all nonnegative integers 29. What is the range of the function f (x) = x if the domain is { 3, 0, 3}? A. {3, 12} B. { 6, 3, 12}. all real numbers D. all real numbers greater than or equal to Look at this graph of a function. What is the range of this function? page 15

16 31. What is the domain of the function shown on the graph below? A. { 1, 2, 3, 4} B. { 1, 2, 4, 5}. {1, 2, 3, 4} D. {1, 2, 4, 5} 32. What is the domain of this function? A. 0 x 5 B. 0 x 8. 0 y 1 D. 0 y 6 page 16

17 33. Study the functional mapping below. If the pattern continues, what is the range value for a domain value of 6? A. 26 B D The graph represents the atmospheric pressure (P in PSI) as a function of altitude (A in 1000 s of ft) as collected from a weather balloon on a rainy day. What is the range of the function? A. 0 to 16 PSI B. 16 PSI. 0 to 140,000 ft D. 140,000 ft page 17

18 35. Mark returned a video 3 days late and paid $6 in late charges. Linda returned a video 5 days late and paid $10. Their friend Eric returned a video 9 days late. How much did Eric pay in late charges? A. $4 B. $8. $14 D. $ Keith uses this formula to calculate the monthly profit of his bicycle store. P = 400n 7, 200 In the formula, P is the monthly profit and n is the number of bicycles sold in a month. How many bicycles must he sell to make a profit of exactly $2,000 in a month? A. 13 bicycles B. 17 bicycles. 23 bicycles D. 25 bicycles 37. Fame and Fortune The agent for a group of musicians has presented the following two contracts for their first D recording: ontract A: ontract B: The recording company will pay them $1.50 per D sold, but the group must pay $50,000 production costs from their profits. The recording company will pay them $0.50 per D sold, with no charge for production costs. The group was optimistic about sales of their D, so they chose option A. After the D had been on sale for two weeks, they received this letter from the recording company: ongratulations: Payments to your account have covered the production costs and left you a net profit of $1000. A check for that amount is enclosed. How many Ds were sold in the first two weeks? page 18

19 38. onnecticut Project arlos was working on a school project about onnecticut. Below is some of the information he found. Land Use Designations One almanac indicated that in 1990 there were 19,991 miles of roads in onnecticut. On the average, how many miles of road is that for each 100 square miles of area in onnecticut? Round your answer to the nearest mile. 39. The Bicycle Factory The table below shows that a small bicycle factory produced 29 bicycles during the first five days of production. Day (D) Total Built (B) Use the table to determine how many bicycles will be built in 10 days if the rate remains the same. Explain how you arrived at your answer. 40. ollege Savings Juan s family is saving money for Juan to go to college. They currently have $2,500 in the bank and save $150 each month. Alex s family is also saving for college. They currently have $900 in the bank and save $250 per month. How much will Alex s family have saved 3 years from now? page 19

20 41. Tranh s telephone company determines his monthly long distance bill by using the formula T = + $0.09D + $0.07N where: is a fixed monthly service charge of $5.00, D is the number of weekday long-distance minutes, N is the number of weeknights and weekend long-distance minutes, and T is the total charge The chart below shows the long distance calls that Tranh made in August. Date Type of all Number of Minutes 8/4 Weekday 23 minutes 8/15 Weekend 17 minutes 8/21 Weeknight 32 minutes 8/28 Weekday 30 minutes What was Tranh s total long distance bill in August? 42. Karen purchased a new camera for $60. She also purchased 5 rolls of film. The total cost of the camera and the rolls of film was $90. Karen s purchase is represented by the equation below. In the equation, f stands for the cost of each roll of film. 5f + 60 = 90 What was the cost of each roll of film that Karen purchased? A. $6 B. $12. $18 D. $30 page 20

21 43. Juan s parents put $10,000 into a college education savings account at the rate of 6% compounded annually. The chart below shows the value of the original investment at the end of years 1 and 2. Investment Value End of Year 1 End of Year 2 End of Year 3 End of Year 4 $10, $11,236.00? If no further deposits or withdrawals are made, what will the value of the original investment be at the end of year 4? Round your answer to the nearest dollar. A. $11, B. $12, $12, D. $12, At a book fair, Scott bought a $4 tote bag and some books for $2 each. The total amount Scott spent is represented by the equation below. What does the variable x represent in this equation? y = 2x + 4 A. the cost for one book B. the total amount spent. the number of books bought D. the cost of all the books bought 45. The students in an eighth-grade class had a dance. They spent $500 for a local band. The equation below can be used to find the total profit, y, if the students sold x tickets to the dance. y = 4x 500 What does the 4 represent in the equation? A. the price per ticket B. the cost of the band. the number of tickets sold D. the profit made from selling x tickets page 21

22 46. A company bought a truck priced at $50,000. If the truck loses $2400 in value each year, after how many years will it be worth exactly $30,800? A. 8 years B. 12 years. 13 years D. 21 years 47. During an experiment, a marine biologist recorded the length and mass of a sample of one type of fish. The measures for four of the fish in her sample are shown in the table below. Length and Mass of Fish Length (in centimeters) Mass (in grams) The marine biologist found that the relationship between the length and mass of this type of fish could best be represented by a linear model. Based on the linear model for the data in the table, which of the following is closest to the mass of a fish with a length of 50 centimeters? A. 75 grams B. 438 grams. 739 grams D grams 48. Jason baby-sits on weekends for $3.50 per hour. He is saving money for a new stereo. He needs a total of $ to purchase the stereo. So far, Jason has saved $ Write and solve an equation to find the number of additional hours (h) Jason needs to baby-sit to buy the stereo. In the box below, write your answer on the line and provide the work that shows how you arrived at your answer. 49. An electrician charges a service fee of $65 to come to a home plus an hourly rate of $42. He works hours. How much is the bill? A. $ B. $ $ D. $ page 22

23 50. ole wants to balance this scale. He knows one weighs the same as four. How many more should ole put on the right side of the scale to balance it? A. 2 B D Look at this table. Health lub Family Rates Members in Family Monthly ost 1 $ 58 2 $ 88 3 $118 4 $148 Which expression correctly states how the monthly cost is related to the number of members in a family? A. $30 per person B. $58 per person. $28 plus $30 per person D. $58 plus $30 per person page 23

24 52. Solve: 3(x + 5) = 2x + 35 Step 1: 3x + 15 = 2x + 35 Step 2: 5x + 15 = 35 Step 3: 5x = 20 Step 4: x = 4 Which is the first incorrect step in the solution shown above? A. Step 1 B. Step 2. Step 3 D. Step The table below represents the number of people who saw a movie at the Ritz Theater last week. Use this table to answer the following question. Ritz Theater Attendance Day People Sunday 294 Monday 200 Tuesday 187 Wednesday 218 Thursday 245 Friday 300 Saturday 326 If each movie theater ticket costs $7.50, what steps would you take to find out how much money the movie theater made in ticket sales from Friday and Saturday? A. Add 300 and 326, then multiply the sum by $7.50. B. Add $ Multiply 300 by $7.50 three times, then add $326. D. Divide 300 by $7.50, then add $ Alexis has $345 in her savings account and will deposit $15 each week. Alexis will not withdraw any money from her savings account. After how many weeks will she have $1,035? page 24

25 55. Use the space below to complete the following question(s). The table below shows a relationship between x and y. x y What is the value of y when x is 10? 56. Sal pays $30 to join the Golf lub. Each time he golfs, it costs $8. What is the total cost for Sal to golf 20 times at his Golf lub? A. $240 B. $220. $190 D. $ Students were asked to explain the first step in solving the equation: 3y + 4 = 16. Four students volunteered their answer. Susan says, multiply by 3. Ted says, add 4 to both sides. Greg says, subtract 4 from both sides. Tonya says, add 16 to both sides. Who is correct? A. Susan B. Ted. Greg D. Tonya 58. Students were asked to explain the first step in solving the equation: 3y + 4 = 16. Four students volunteered their answer. Susan says, multiply by 3. Ted says, add 4 to both sides. Greg says, subtract 4 from both sides. Tonya says, add 16 to both sides. Who is correct? A. Susan B. Ted. Greg D. Tonya page 25

26 59. Students were asked to explain the first step in solving the equation: 3y + 4 = 16. Four students volunteered their answer. Susan says, multiply by 3. Ted says, add 4 to both sides. Greg says, subtract 4 from both sides. Tonya says, add 16 to both sides. Who is correct? A. Susan B. Ted. Greg D. Tonya 60. An equation is shown below. y = 2(x 2 ) When the value of x is multiplied by 3, the value of y is multiplied by what number? A. 3 B D. 18 page 26

27 Acces format version c EducAide Software Licensed for use by Tammie Wilkes 04/15/ D D D D A A D B D D 16. 9, B A A B D B D B A A A A 30. {1, 2, 3} D B A D [answer grid]

28 Teacher s Key Page A 43. D A 46. A B B 53. A

Name. 5. Fill in the blanks to complete the table. D 2,000

Name. 5. Fill in the blanks to complete the table. D 2,000 . A school s Parent-Teacher Club raises $280 by washing and waxing cars. Each car wash and wax costs $4. How many cars did the club wash and wax? A 2 B 20 C 200 D 2,000 2. An online game awards players