Name _____________________________ Final Assessment Review Bell Ringers Directions: Each night you will be asked to complete 1 or 2 of the exercises on this worksheet. The following day they will be graded as bell ringers and discussed. These problems cover the topics that are on your final exam on June 16th. 1. a) Name two integers who have the same sign and have a positive sum. b) Name two integers who have different signs, but have a positive sum. 2. Write two equivalent expressions to the expression 5(2x – 4). 1) 2) 3. The height of a model rocket is 9 inches. The model is created based on an actual rocket using a scale of ½ inch = 5 feet. Find the actual height of the rocket ship. (Showing work is worth 1 point.) 4. The school created two scale drawings of your classroom. They used different scales on each, which is described below. Scale-Drawing 1: The dimensions are 6 inches by 12 inches. The scale is 2 feet to 1 inch. Scale-Drawing 2: The dimensions are 3 inches by 6 inches. Determine the ratio that represents the scale on Map 2. (Hint: The rooms should have the same actual dimensions on both scale drawings, since they are of the same room.) 5. Which expression is not equivalent to the expression 3(n + 4) – 6? A) B) C) D) 3n + 12 – 6 1.5(2n + 8) – 6 12n – 6 3n + 6 Explain. 6. a) Describe the differences between complementary and supplementary angles. (Drawing pictures can be used to support your comparison.) b) What are vertical angles? What is true about all pairs of vertical angles? c) What does it mean for angles to be adjacent to one another? 7. Create a scenario that must be solved using the expression 6.7(5). Example (cannot be used): While shopping for school supplies, John’s mother spent $6.70 each on five binders. Her total was $33.50. 8. The circumference of a circle is 22𝜋 yd. Calculate the exact area (in terms of 𝜋) of the circle. Show all work. 9. The number of finals distributed to the middle school students at Richfield Springs is directly proportional to the number of students. There are 5 final exams per student. Write an equation that represents the relationship between the students and the number of tests, where s represents the number of students and T represents the number of tests. 10. Calculate the volume of a cylinder with a height of 10.2 feet, whose base has a radius of 3.8 feet. 11. In the following equation, c and d are both integers. c(2x – 8) + 5 = d + 6x Determine the values of c and d. c = _________ d = __________ Explain. 12. Josh buys 3 concert tickets and some food. He only has $40 to spend and each ticket cost him $11. a) Write an inequality that can be used to find the amount of money Josh can spend on food. b) Solve the inequality. c) Graph your solution to the inequality. 13. At Price Chopper, cases of soda are on sale for 13% off. (HINT: Quantity = % Whole) a) Let x represent the original price of the soda. Write an equation that can be used to find the sale price, s, of the soda. b) Brian bought a case of soda and spent $4.30. Use your equation and the price in which Brian paid, to determine the original price of the case of soda. 14. In the image below, the diameter of the circle is 7 inches. a) Calculate the circumference of the circle. b) Calculate the perimeter of the square. c) How much longer is the perimeter of the square than the circumference of the circle? (Round to the nearest tenth.) 15. Adam really wants a canoe and he proposes the following plan to try to convince his parents. - Adam will pay 15% of the cost - Adam’s brother agreed to pay 25% of the cost - Adam’s best friend said he would pay for 10% of the cost - Adam’s grandparents said they would cover 35% of the cost He would like his parents to pay the rest. a) What percent of the cost would his parents have to pay? b) If the canoe costs $400, calculate the amount that everyone will pay. Adam: _________ Brother: _________ Best Friend: __________ Grandparents: __________ Parents: _________ 16. Joan and Jim are playing a game with a number cube. Joan wins the game if a multiple of 3 is rolled. a) Is Joan’s change of winning certain, highly likely, unlikely, or impossible? Explain. b) Create an event that will determine if Jim wins that is highly likely.