2.3 Solve: (9 5) 3 (7 + 1) 2 4

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1 7 th Grade Final Exam Study Guide No Calculators ATN Suppose the Rocy Mountains have 72 cm of snow. Warmer weather is melting the snow at a rate of 5.8 cm a day. If the snow continues to melt at this rate, after seven days of warm weather, how much snow will be left? ATN The temperature for the past 8 hours has been changing at the rate of 1.5 F each hour. The meteorologist predicts that the temperature will continue changing lie this for the next 6 hours. The present reading is 0 F. What was the temperature reading 7 hours ago? What temperature is predicted for 6 hours from now? When was the temperature reading 6 F? When is the temperature expected to be 8 F? ATN Malique wants to tae four of her friends to a movie. She nows it is $5.50 for a ticet and $3.25 for popcorn. How much will it cost if she pays for the movie and popcorn for all five people? 1.1 A teacher questions students about which day to give a math test. Tell whether each sampling method is random. Explain your answer. The teacher ass the first five students who wal into the classroom. 1.2 If 10, 13 and 10 are added to the data set [12, 10, 1, 8, 17, 21, 15, 1, 6], how will the mean change? 1.6 According to the Box and Whiser Plot below, identify the range, median, maximum extreme and minimum extreme. In what quartile is 88 located? 2.3 Solve: [(26 5) + 6] Solve: (9 5) 3 (7 + 1) Solve: (9 5) 3 (-7 + 1) Solve: Find the prime factorization of You have 120 red beads, 100 white beads, and 5 blue beads. You want to use all the beads to mae bracelets that have red, white, and blue beads on each. What is the greatest number of matching bracelets you can mae? 2.6 Two satellites are put into orbit over the same location at the same time. One orbits the earth every 2 hours, while the second completes an orbit every 18 hours. How much time will elapse before they are once again over the same location at the same time? 2.8 Write as an expression: the quotient of and a number, increased by Write as an expression: times the difference of y and At her job Julie Ann is paid $8 per hour. In addition, she is paid $2 for each unit she produces. Write an expression for her total hourly income if she produces u units per hour. 2.8 At her job Julie Ann is paid $8 per hour. In addition, she is paid $2 for each unit she produces. Write an expression for her total hourly income if she produces u units per hour. 2.9 The perimeter of the shape below is 17 cm. Solve for x. 3x + 2 3x + 2 x 1

2 3.5 Solve: 25 ( 5) + (3)(-) To find your weight on another planet, multiply the relative gravitational pull of the planet and your weight. The relative gravitational pull on Mars is What would a person who weighs 85 pounds on Earth weigh on Mars? 6.1 Jamie answered 28 out of 35 questions on a quiz correctly. What percent of the questions did he answer incorrectly? Eric paid $ to rent a car. The fee to rent the car was $32.75 per day. For how long did Eric rent the car?.5 What is the quotient when 18.8 is divided by -1.75? 5.1 Gordon memorized 560 vocabulary words in 28 days. Find the unit rate and write them both in fraction and word forms. 5.1 A Ferris wheel can accommodate 60 people in 20 minutes. How many people could ride the Ferris wheel in 3 hours? What was that rate per hour? 5.1 Patrice and Tatiana share baby-sitting duties. The ratio comparing the amount of time each one wors is 6:5. They earn a total of $77. If Patrice wors longer, how much should each receive? 5.3 What is the value of x in the proportion below? 26 x = Write as a proportion and solve: If 3 volumes of Jennifer s encyclopedia taes up inches of space on her shelf, how much space will she need for all 26 volumes? What percentage of the popcorn sales happened on Saturday? 6.3 The human body is made up mostly of water. In fact, about 67% of a person s total (100%) body weight is water. If Cameron weighs 90 pounds, about how much of his weight is water? 6.6 Avery deposits $6,000 in an account that earns % simple interest. How long will it tae for his account balance to reach $6,800? 6.6 Peter maes $7000 a month plus some money by commission rates. He gets 6% of everything he sells. If Peter sold $55000 worth of items this month, what is his salary for the month? 7.2 Name one pair of complimentary angles & one pair of supplementary 5.7 On a road map, the distance from Green Bay to Chicago is 11 cm. What is the actual distance between the cities if the map scale is 3 cm = 90 m? Mae proportions and find the answer. S T U V W X 2

3 7.3 & PA 5.2 Find the measure all Name 2 pairs of supplementary Name the interior Name the exterior angles Name 2 pairs of vertical angles Name 1 pair of adjacent Name 2 pairs of corresponding What is a transversal? 8.3 & 8. Name (the dimensions) of all the rectangles you can mae that have an area of 2 cm squared. 8.3 & 8. Name (the dimensions) of all the rectangles you can mae that have a perimeter of 2 cm. 8. What is h, the height of the parallelogram represented below, if its area is 128 meters squared? h 16 m 7.7 Give all the names that apply to this quadrilateral: 8. & 8.5 Find the area of the irregular polygon. 36 ft 20 ft 7.8 Find the measures of the unnown 22 ft 8.5 How many square feet of carpeting are needed to cover the floor of the room represented by the drawing below? (Note that the shaded region is to be left uncovered to leave space for the construction of a built-in trophy case with a rectangular base. 15 ft 7 ft 5 ft 8.3 What is the circumference of a circle with a radius of 8 inches? Use 3.1 for. 18 ft 3 ft 8.3 Write an expression for the perimeter of this regular octagon with sides. Combine lie terms in the expression. 8.6 A golf course is irrigated with sprinlers that spray in a circle. If a sprinler waters a circular area with a radius of 25 feet, how many square feet does the sprinler cover? 3

4 Round your answer to the nearest whole number. Find the probability of drawing a consonant. 9.1 Name the cross section shape that would result from a vertical cut of this prism. 9.2 Find the volume of the rectangular prism..1 ft 12 ft.1 ft 9. Determine the surface area of the prism formed by the following net A reading list contains 5 historical boos and 3 science-fiction boos. What is the probability that Juan will randomly choose a historical boo for his first report and a science-fiction boo for his second? 10.5 Using the results in the tables, what is the probability of a spinner landing on green in both experiments? A B Spin Color 1 Blue 2 Red 3 Red Green 5 Blue 6 Blue 7 Red 8 Blue Spin Color 1 Blue 2 Green 3 Red Blue 5 Green 6 Blue 7 Green 8 Red 11.2 Solve 12 7b + 10b = A bag contains circular chips that are the same size and weight. There are 8 purple chips, pin chips, 8 white chips, and 2 blue chips in the bag. What color of chip are you more liely to pic out of the bag and why? 10.3 What is the probability that you will roll a 6 on three consecutive rolls on a fair number cube? 10. Find the probabilities. Write your answer as a fraction, as a decimal to the nearest hundredth, and as a percent to the nearest whole percent. You have 11 cards, each with one of the letters from the word mathematics. Find the probability of drawing an m from the pile of shuffled cards. Find the probability of drawing a vowel Write an equivalent expression using factoring for 8x Let p represent the number of people. Write an inequality that represents the information below. Then, graph the inequality. No more than 220 people are in the theater. 11. Let p represent the number of people. Write an inequality that represents the information below. Then, graph the inequality. No more than 220 people are in the theater Solve and graph the solution set on a number line: z 6.6 < 15

5 11.7 An interior designer is planning to place a wallpaper border along the edges of all four walls of a room. The total distance around the room is 88 feet. The border comes in pacages of 16 feet. What is the least number of pacages that must be purchased to be sure that there is enough border to complete the room? MSA Investigation Brady wrote a sequence using these steps: Use as the first term 2) Each term after the first one is more than the one before it. What are the first 5 terms of Brady s sequence? MSA Investigation 2 List the coordinates of three points on the line. Write the equation of the line. Does the point (56, 35) lie on the line? Why? Does the point (-20, -8) lie on the line? Why? If the team sells 50 buttons, what will be their cost? What will be the revenue? If the team sells 50 buttons, how much profit will they mae? (Remember that the profit is the revenue minus the cost) If the team sells 100 buttons, how much profit will they mae? 5