Name: ________________________________

For 1 and 2 complete the following Bucky the Badger charts, remember Bucky does pushups based on the score of the game.

3. Michael is driving to his baseball tryouts and notices that his gas tank is getting close to empty.

He is driving 75 mph and it should take him 1 hour 30 minutes to get to his exit. Michael’s car

gets 24 miles per gallon on the highway. Gas is currently $2.52 a gallon.

a. How fast is Michael going? ________

b. How far will he go in 1 hour? __________

c. How far will he go in 30 minutes?(round to the nearest whole number) ________

d. How far will he go in 1 hour 30 minutes? (HINT: Use answers in b. and c.)__________

e. Using 1 gallon of gas, how far will he go? _________

f. About how many gallons does he need to get to the gas station? (round to the nearest

whole number) __________

g. If gas costs $2.52 per gallon, about how much will Michael spend? (remember this is

money) __________

h. If it costs $2.52 to travel 24 miles, how much will Michael spend to travel one mile on

the freeway? (remember this is money) __________

4. Parker is driving to her cheerleading competition and notices that her gas tank is getting close to

empty. She is driving 80 mph and it should take her 1 hour 15 minutes to get to her exit.

Parker’s car gets 18 miles per gallon on the highway. Gas is currently $2.34 a gallon.

a. How fast is Parker going? ________

Points Score Total Pushups

3

7

3

3

7

7

Points Score Total Pushups

7

7

7

3

3

3

b. How far will she go in 1 hour? __________

c. How far will she go in 15 minutes? (round to the nearest whole number) ________

d. How far will she go in 1 hour 15 minutes? __________ (HINT: Use answers in b. and c.)

e. Using 1 gallon of gas, how far will she go? _________

f. About how many gallons does she need to get to the gas station? (round to the nearest

whole number) __________

g. If gas costs $2.34 per gallon, about how much will Parker spend? (remember this is

money __________

h. If it costs $2.24 to travel 18 miles, how much will Parker spend to travel one mile on the

freeway? (remember this is money __________

Use the chart to answer questions 5 and 6.

10 and up 3-91 Day Park Hopper

(Regular) $174 $168

2 Day Park Hopper $274 $2623 Day Park Hopper $370 $3524 Day Park Hopper $455 $4355 Day Park Hopper $470 $450

5. How much would it cost a family of 4 (ages 42, 38, 8 and 7) to go to Disney for 3 days?

6. Which option is the best deal? (Hint divide the price of the tickets by the number of days)

Use the following information for questions 7 and 8: Let N and U represent the price of pair of Nike shoes and a pair of Under Armor shoes, respectively, where N > U. Interpret the following each expression in terms of money and shoes and then determine which of the expressions is larger.

7. N + .08N and U + .08U

8. N + U and 2N

For questions 9 - 10, without substitution determine which of the expressions is larger.

9. 12 + X and 18 – X

10. A + B/ 2 and A + B/ 3

For questions 11 – 12, fill in the chart and write an equation for the nth term in the sequence.

Pattern Number, n 1 2 3 4Number of White Blocks 4 8 12Number of Gray Blocks 3 3Total Number of Blocks 7

Equation: ________________________

Pattern Number, n 1 2 3 4Number of White Blocks 2 4 6Number of Gray Blocks 4 8Total Number of Blocks 6

Equation: ________________________

For questions 13 – 15, determine if the two given expressions are equivalent or not. SHOW YOUR WORK

13. A + (3 - B) and (A + 3) – B

14. (A - B) 2 and A2 + B2

15. 1X+Y and

1X

+ 1Y

Write the area of each rectangle as the product of length x width and as a sum of the areas of each box.

16.

For questions 17 – 19 use the distributive property to re-write each expression as a sum.

17. 6(x + 8) = ____________________

18. x(x – 12) = _____________________

19. 14x(x + 3) = ____________________

Fill in the missing information for each: Dimensions, area as product, and area as sum.

20. Area as Product: _____________________

Area as Sum: ________________________

2X

X

24

-4

x 16

Area as Product

Area as Sum

Fill in the missing dimensions from the expression given.

21. 14x – 42 = 14(_______________)

For questions 22-25 factor the following expressions:

22. 6x – 18 = _____________________

23. -9x – 81 = ___________________

24. 4x2 + 24x = _____________________

25. -5x + 30 = ______________________

26. You want to buy a new vacuum for your dorm room, while looking online you see that Target has a coupon for $15 off your purchase. Once you arrive at Target you see that they are having a 25% off sale but it cannot be combined with any other offer. After doing the math you realize that the vacuum is the same price regardless of the discount you take advantage of.

a. How much does the vacuum cost? ______________

b. At what price would it be better to use the $15 off coupon? ______________

c. At what price would it be better to use the 25% off coupon? ______________

27. You want to buy a new ENO, while looking online you see that Dicks has a coupon for $20 off your purchase. Once you arrive at Dicks you see that they are having a 10% off sale but it cannot be combined with any other offer. After doing the math you realize that the ENO is the same price regardless of the discount you take advantage of.

a. How much does the ENO cost? ______________

b. At what price would it be better to use the $20 off coupon? ______________

c. At what price would it be better to use the 10% off coupon? ______________

28. Four girls downloaded a total of 85 songs on their iPods. Sarah downloaded twice as many as Olivia. Kalen downloaded 4 more than Olivia and since Marley wanted to have the most, she downloaded twelve more than Kalen did. How many songs did each girl download?

Sarah: _________________ Olivia: __________________

Kalen: _________________ Marley: __________________

29. A checking account is set up with an initial balance of $12,420, and $960 is removed from the account each month for rent (no other transactions occur on the account). How many months will it take for the account balance to reach $720?

30. Reagan is five years younger than Presley. Riley is three times as old as Reagan. If you add together the ages of Reagan, Presley and Riley, the total comes to 80 years old. How old are Reagan, Presley, and Riley?

Reagan: __________________ Presley: _____________________

Riley: _____________________

Determine for each of the following if the equation is sometimes, always, or never true. Remember the number of solutions will help you determine your answer. Make sure to show your work.

31. x2=x2−2

32. x−9= y−9

33. ( x+4 )2=x2+8 x+16

For the following equations the solution x is depended on a. If the value of a increases what affect does this have on x, will it increase, decrease or remain unchanged?

34. x+a=8 x+1=8 x+2=8 x will¿x=¿¿ x=¿¿

35. x−a=4 x−1=4 x−2=4 x will¿x=¿¿ x=¿¿

36. ax=0 (1)x=0 (2 ) x=0 x will¿x=¿¿ x=¿¿

You are in charge of planning a surprise party for your best friend. Let c represent the number of cups purchased, x represent the price of the cups, b represent the number of balloons and y represent the price of the balloons. Write an equation for each of the following situations, remember each is an independent event.

37. The number of balloons you can buy if your budget is $1,240 and you have already purchased 100 cups for $5 each.

38. The price of cups if you spent $600 total and purchased 95 balloons for $3 each.

You decide it’s time for a new car after looking at different brands you decide on a Ford Focus the total cost of the Focus is $23,535. Find the sticker price of the car in each of the states.

39. North Carolina were the tax is 3%

40. Texas were the tax is 6.25%

Write, solve, and graph an inequality for each of the following situations

41. Michael wants to save up enough money so that he can buy a new sports equipment set that includes a football, pads, and a pair of cleats. This set cost $350. Michael has $150 saved from his birthday. In order to make money, he plans to cut neighbors grass. He plans to charge $20 a lawn, any extra money he has he will save. How many lawns does Michael have to cut in order to buy the equipment set?

42. Tracy wants to save up enough money so that she can buy a kitchen set that includes 8 plates, 4 bowls, and 16 glasses. This set cost $275. Tracy has $60 saved from her birthday. In order to make money, she plans to babysit. She plans to charge $10 an hour, any extra money she has she will save. How many hours does Tracy have to babysit in order to buy the set?

For each of the following determine if the groups can rent a fishing boat if each boat can only carry 1,200 pounds of people and gear for safety reasons. Assume the average weight of each person is 150 pounds. In addition to the 215 pounds of required gear, each person must have 12 additional pounds of gear.

43. Group of 4:

44. Group of 8:

45. What is the maximum number of people the boat can carry?

46. Graph all of your solutions

Lucas and his brother Nathan like to play basketball, about a month ago they started keeping a record of their wins and losses. As of today Lucas had won 16 out of 30 games against Nathan.

47. What is Lucas’ current winning percentage?

48. How many games in a row does Lucas have to win to have a winning percentage of 75%?

49. How many games in a row does Lucas have to win to have a winning percentage of 95%?

50. Suppose after reaching a winning percentage of 75%, Lucas has a losing streak. How many games in a row would Lucas have to lose to have a winning percentage of 45%?

51. Can Lucas reach a 100% winning percentage, why or why not?

Write and solve an inequality for each of the following.

52. Blake plans to purchase 3 pair of shorts all costing the same amount and a shirt that is $4 cheaper. He has $50 to spend but wants to have $6 left over for Taco Bell. How much is each article of clothing?

53. Susan plans to purchase 5 pairs of leggings all costing the same amount and a bracelet that is $6 more. She has $65 to spend but wants to have $3 left over for a Diet Coke. How much is each article of clothing?

54. If 1 inch on a map represents 300 miles how many miles does 1.75 inches represent? Round to the nearest whole number

55. Dr. Grey orders a 150 mg of Amoxicillin to be taken by a 22.5 lb. child every 4 hours. The medication label shows that 45-75 mg/kg per day is the appropriate dosage range. Is Dr. Grey’s order within the desired range? Remember the conversion from kg to lbs. is 1kg/2.2lbs. Round your answer to the nearest whole number.

a. What is the minimum dosage? _________________

b. What is the maximum dosage? _________________

c. How much Amoxicillin is the child taking each day? _______________

56. Blake owns an empty one acre lot. Remember that 640 acres = 1 mi2; 1 mi = 5,280 ft. Round to the nearest whole number

a. If 2 inch of rain fell over his one acre lot, how many cubic inches of water fell on his lot?

b. How many cubic feet of water fell on Blake’s lot?

c. If 1 cubic foot of water weighs about 62 pounds, what is the weight of the water that fell on Blake’s lot?

d. If the weight of 1 gallon of water is approximately 8.3 pounds, how many gallons of water fell on Blake’s lot?

57. An Asteroid is 134,000,000 miles from the sun. How many hours does it take light to travel from the sun to the Asteroid? Remember 1-light year is 5.874589 x 1012

58. Find the following for a Sony 55” TV Remember the ratio of length to height is 16:9 or .5625. Round your answers to the nearest whole number

a. What is the length of the 55” TV?

b. What is the height of the 55” TV?

c. What is the area of the 55” TV?

59. Find the Area and Perimeter of the following shapes. Round your answer to the nearest whole number

a.

Area: _________________

Perimeter: ____________

b. Area: __________________

Perimeter: ______________

c. Area: _________________

Perimeter: _____________

10in

8in

8in

4in

5in

6in

12in

16in

60. Find the volume of the following shapes. Round your answer to the nearest whole numbera.

Volume: ____________________

b. Volume: ___________________

61. A gas tank hold a total volume of 68L. The manual says the low fuel light will come on when the car has 4L remaining in the tank and the car will not be able to start on the last 2L in the tank. Round your answers to the near whole number

a. What is the functional volume of the gas tank?

b. My car stopped so I walked to the gas station to get gas. I purchased 6L of gas and put it into my tank. What is the total volume of the gas in the tank?

c. If 5L of gas has a mass of 450kg, what is the mass of the gas in the tank when it is full?

d. What is the density of the gas?

e. How many gallons does the gas tank hold?

6in

10in

18in

4in

6in

f. How many gallons remain in the tank when the low fuel light comes on?

Identify the independent and dependent variables in each situation

62. For a business meeting, Tony is making copies of his presentation.

p = the number of people who plan to attend c = the number of copies

Independent Variable: _____ Dependent Variable: ______

63. The electric company charges its customers based on usage.

q = the quantity of electricity consumed b = the billing amount

Independent Variable: _____ Dependent Variable: ______

64. Mr. Lee, the debate team coach, is organizing a debate tournament at his school. The number of volunteers he will need to judge at the tournament is determined by how many rounds will take place.

v = the number of volunteers needed for judging r = the number of rounds in the tournament

Independent Variable: _____ Dependent Variable: ______

65. Katie is making a scrapbook.

p = the number of photos added t = the thickness of the scrapbook

Independent Variable: _____ Dependent Variable: ______

66. Justin is taking a standardized test.

q = the number of questions Justin answers correctly s = Justin's final test score

Independent Variable: _____ Dependent Variable: ______

67. What is a Function?

68. Create a Function

69. Create a NonFunction

Create a graph the represents the price of shoes, pants and hats; where hats cost less than pants and shoes cost the most.

70.

For each of the following identify the slope and y-intercept.

71. C = 5A + 19

Slope: ______________ Y-intercept: _____________

72. 22. B = -2 + 12F

Slope: ______________ Y-intercept: _____________

After reading each of the situations find the slope, y-intercept and create an equation.

73. Tortillas take a bit of time to get ready, but once they're going you can cook a lot quickly. Daniel can make 5 tortillas in 15 minutes and 10 in 20 minutes.

Slope: ______________ Y-intercept: _____________ Equation: ___________________

74. Shawn is helping his uncle move across town. To move the biggest things, they rent a truck for a day. The truck rental costs $20 per day, plus $0.57 per mile.

Slope: ______________ Y-intercept: _____________ Equation: ___________________

75. Matt goes to Freeze Up, an ice cream shop that lets you get as many scoops as you want. It costs $1.25 for the first scoop and another $0.60 for each additional scoop after the first.

Slope: ______________ Y-intercept: _____________ Equation: ________________

Given the following situation explain what each of the following equations represent.

Shawn has been collecting baseball cards for many years. Suppose that C represents the number of cards he has collected and T represents the number of years he has been collecting the cards for.

76. C = 18T + 56

________________________________________________________________________

77. C = – 5T + 154

________________________________________________________________________

78. C = 9T + 75

________________________________________________________________________