Final Review. 1. On a number line, what is the distance between -9 and 6?

Size: px

Start display at page:

Download "Final Review. 1. On a number line, what is the distance between -9 and 6?"

Barbara Stewart
5 years ago
Views:

1 Name Final Review 1. On a number line, what is the distance between -9 and 6? 2. A leak in a pipe is dispensing 8 ¾ gallons in 2 ½ minutes. What is the rate/minute? 3. Compare the measures of central tendency of the 2 sets of data Group 1: 3, 5, 7, 2, 6, 8, 4, 3, 10 Group 2: 1, 2, 2, 4, 5, 6, 6, 7, Simplify the following expression: 4(-3x + 5) + 2x Determine the relationship between x and y in the table below x y What is the most reliable survey? A. One with a large sample size B. One that has a lot of questions C. One that gets the results you wanted D. One that is random and representative of the population 7. Betty types 320 words in 5 minutes. How many can she type in a half hour? 8. List all pairs of supplementary angles

2 9. What is the best estimate of 4.92 x 9.86? A. 36 B. 40 c. 45 D There are 2 stacks of cards numbered 1-4. What is the probability of taking one from each and getting a sum of 4? _ 11. Solve and graph on the number line 4 + 2x < 10 ======================================== Simplify: (4x 6y) + (5x + 2y) 13. Solve for x: (2x + 32) A circular fence has a circumference of 62.8 feet. What is the diameter of the circle? 15. Which shape is NOT a possible cross section of a cone? A. B. C. D. 16. The temperature at 6:00 a.m. was At 3:00 p.m. the temperature was What change took place? What was the average change in temperature per hour? 17. Simplify: 6x 9y 8x + 3y

3 For Questions There are 10 marbles in a bag. Four are Blue, 3 are Green, 2 are Red, and 1 is White 18. Find P(Blue) 19. Find P(Green, then White) with replacement 20 Find P(Red, then Red) without replacement 21. Evaluate the following: 5x 2y, where x = -2 and y = Solve for x: 6x 7 = 3x + 8 Solve for x in the right angle below: 14 0 (2x + 28) Name ALL possible cross sections of a rectangular prism 24. Name ALL possible cross sections of a cylinder 25. Solve for x: 4(2x + 6) = 2(4x + 12)

4 26. A television regularly costs $ The store is having a 20% off sale on everything in the store. What is the new cost of the television? 27. What number is 22% of 350? 28. John earns 12 percent commission on all sales that he makes. He has a great week and sells $41,000 worth of merchandise. How much did he make for the week? 29. Find the mean and median of the data below: X X X X X X X X X X X Find the surface area and volume of the rectangular prism below: Surface AreaVolume_ 31. Find the value of x: _ (2x + 30) 0 (4x) What is the additive inverse of 9? 33. What is the multiplicative inverse of 2 ½?

5 34. Find the 5 Number Summary for each of the box-and-whisker plots below. Then compare and contrast the results for 2000 and SEC Basketball Teams - Number of Games Won 35. There are 60 students in the school band. The ratio of girls to boys is 2:3. One-third of the girls will be playing solos. How many girls will be playing solos? 36. Mr. Garvey is taking a group bowling. The cost/hr. is $4.50 for adults, and $2.75 for children. Each person must pay $1.25 for shoe rental. What would be the total cost for 3 adults and 6 children? 37. Tickets for the school play are $7.50. However, if the tickets are bought in advance they are $6.25. If Bill buys 8 tickets in advance, how much will he save? 38. Jenny is doing a survey. Of the 100 people surveyed, 41 named football as their favorite sport, 24 basketball, 11 baseball, 9 soccer, 8 golf, 5 volleyball, 1 tennis, and 1 gymnastics. If her population is 2000 people, how many would she expect to name football as their favorite sport? _ 39. Bill opens a bank account with $ The bank pays 4% simple interest. How much will be in his account in 5 years if he makes no deposits or withdrawals? _ is what percent of 375? _

6 41. Joe buys a suit that is regularly priced at $ It is discounted 20%. How much will his total cost be after the 6% sales tax is added to the discounted price? Write an algebraic expression for the following word phrases: 42. Four less than 8 times a number 43. The quotient of a number and 7 increased by Five times the sum of a number and Find the surface area of the rectangular prism below: 46. Are jar contains jelly beans. One-third of them are red and 1/6 are black. What fraction of jelly beans are either red or black? 47. A model of a sailboat is 30 inches long and 12 inches high. Using a scale factor of 1:25, what are the actual dimensions? 48. Write the expression for the model below: A high tech jet propulsion pack burns 2 ½ gallons of gas per minutes. How long will the 20-gallon tank last?

50. What does the point (4, 240) represent? 51. Bill is going to the county fair and can spend no more than $50. Entrance to the fair is $5.00 and rides are $2.50. Write an inequality and determine how many rides Bill can go on without having to borrow money from his friend Bubba.

7 50. What does the point (4, 240) represent? 51. Bill is going to the county fair and can spend no more than $50. Entrance to the fair is $5.00 and rides are $2.50. Write an inequality and determine how many rides Bill can go on without having to borrow money from his friend Bubba. Inequality Solution is 30 percent of what number? 53. Ben owns a sporting goods store and the cost of his inventory has risen. He has to raise prices so he is going to mark-up his prices 15%. His football jerseys previously cost $ What will the new cost be when he applies his increase? 54. What relationship exists between the 2 angles below:

8 55. What is the volume and surface area of the cube shown below: S.A. V. 5 cm 5 cm 5 cm 56. Solve for x: 41 0 x A jacket originally cost $85. It is now on sale for 68 dollars. What is the percent change? 58. Find the area and circumference of the circle below (Use 3.14 for pi: Area Circumference 14 cm 59. Determine if the following table is a proportional relationship. Justify your answer. x y

9 60. Find the area of the composite figure below (Use 3.14 for pi): 8 cm 8 cm mmm 8 cm 61. Find the value of x: x Sally makes $20.00 an hour and gets a 15 percent raise. How much does she make now? 63. If x is a negative number, is -x times -x times -x a positive or negative number? _ 64. A submarine is 420 feet below sea level. It descends 370 feet then later ascends 110 feet. How far is it now below sea level? 65. Two sides of a triangle have lengths of 15 cm and 18 cm. What range of lengths must the third side be in order to have a triangle?

Incoming Advanced Grade 7

Name Date Incoming Advanced Grade 7 Tell whether the two fractions form a proportion. 1. 3 16, 4 20 2. 5 30, 7 42 3. 4 6, 18 27 4. Use the ratio table to find the unit rate in dollars per ounce. Order