Which of the following is an irrational number? a) 2.8 b) 19

Transcription

1 Which of the following is an irrational number? a) 2.8 b) 19 c)!! d) 81 A discounted ticket for a football game costs $12.50 less than the original price p. You pay $63 for a discounted ticket. Write and solve an equation to find the original price. Determine whether the relation is a function The coordinates of A, B, C are given below.what are the coordinates of A, B and C after a reflection across the x-axis? A( 4, 1) B ( 2, 0) C (1, 2) The table shows the average price per pound for peanut butter in the United States from 2011 to What type of relationship do the data show? Year, x Average Price per Pound, y $5.65 $5.85 $6.14 $6.53 1

2 Monyne created a map of her neighborhood. She colored in the distance from her school to her house and wrote on the map that the distance was 0. 7 of a mile. Write the distance between Monyne s house and her school as a fraction. You scored 83, 96, and 88 on three of your math tests. Write and solve an equation to find the score you need on the fourth test so that your mean test score is 90. List the ordered pairs shown in the mapping diagram The coordinates of S, T, U are given below.what are the coordinates of S, T and U after a translation right 1 unit and up 2 units? S(4, 5) T(5, 2) U (0, 1) Describe the relationship between the data. Identify any outliers, gaps, or clusters. 2

3 Which of the following is a rational number? a) 20 b) π c) 21 d) 25 Find the value of x. Write a function rule for The output is seven more than the input. Which of the following rotations around the origin of the triangle with vertices H(2, 6), I (1, 5), J( 3,4) produces an image with vertices H ( 6, 2), I (5, 1), J (4,3) a) 180º b) 90º c) 360º d) 270º Which equation best represents the line of best fit? a) y = 16x b) y =15x 300 c) y = 15x d) y= 16x 400 3

4 The area of a circular place is 45 square inches. Estimate the radius to the nearest integer. Solve the equation. Check your solution. 4x 8x + 17 = 23 Graph the function y = 2x + 1 using inputs of 1, 0, 1, and 2. Use the figure to find the measures of the numbered angles. The ages in years, of the people online at the skating rink are 24, 16, 15, 19, 33, 30, 56, and 19. Find the mean, median, mode and range of the data set. 4

5 Estimate the square root to the nearest tenth The cost d (in dollars) of making w watches is represented by d = 25w How many watches are made when the cost is $260? The distance y in miles traveled by a car is 20 times the number of gallons x of gasoline used by the car. Write and graph a function that describes the relationship between x and y. Hugo and Sandy leave a campsite and walk in different directions. After several hours, Hugo has walked 5.6 miles east while Sandy walked 3.3 miles north. How far apart are Hugo and Sandy? The average temperatures for 15 days in June are shown in the table. Find the five-number summary (minimum, first quartile, median, third quartile, and maximum) of the data. Temperature (ºF)

6 Is!! a rational? Nickolas runs 2 5 miles one week and 2 7 miles the next week. How many times farther did he run in the second week than in the first week? Find the value of x for the given value of y. y = 4x 6; y = 20 Find the value of x. Create a box-plot to represent the costs, in dollars, of shirts at a boutique

7 What is the fraction represented by 0.42? The points in the table lie on a line. Find the slope of the line. x y A shoe store is having a sale where everything is 35% off. a) Write a function that represents the amount of discount d on an item with a regular price r. b) You buy a pair of shoes that has a regular price of $85. What is the sale price of the shoes? Find the measure of the exterior angle. The table shows the height of the first eight students standing in line to get lunch from the cafeteria. Find the mean absolute deviation of the data set. Describe what the mean absolute deviation represents? Height (in.)

8 What is the decimal expansion of!!"? Evaluate the expression Use the table to write a linear function that relates y to x. x y Leonard plans to build a garage on a square plot of land. If one side of the plot is 6g 3 h 5 feet long, express the area of his plot as a monomial. The standard deviation of lamp heights at Lights R Us is about 7.2 inches. Describe the lengths that are within two standard deviations of the mean. Height of Lamps (in.)

9 What is the fraction represented by0. 1? The cost y (in dollars) to rent a car is proportional to the number x of days that you rent the car. It costs $207 to rent the cars for 3 days. Write an equation that represents the situation. Use the table to write a linear function that relates y to x. Find the measure of each interior angle of a regular polygon 18-gon. The mean length of a set of ribbons is 30 inches. The standard deviation is 11 inches. Describe the data that is within one standard deviation of the mean. 9

10 The area of a square court is 50 square feet. Estimate the side length s to the nearest tenth of a foot. Are the lines y = 2 and x = 2 perpendicular? Justify your answer. The table shows the cost y (in dollars) of bowling x games. How much does it costs to bowl 3 games? Number of Games, x Cost, y The sum of the interior angle measures in a regular polygon is What is the measure of one of the interior angles of the polygon? The line plot shows the low temperatures for various days through the winter. Describe the shape of the distribution. Identify any clusters, gaps, peaks, or outliers. 10

11 Which number is greater? 9 3 4, 96 Middletown Savings Bank starts the day with dollars in the vault. At the end of the day, the vault has How much more money is in the vault at the end of the day than there was in the morning? Kelly and Mohammed race each other. Kelly gives Mohammed a 40-foot head start. The distance y (in feet) Mohammed runs after x seconds is represented by the linear function y = 12x The table shows the distances Kelly runs. Who runs at a faster rate? What is that rate? Time (seconds), x Distance (feet), y Find the volume of the cylinder. Round your answer to the nearest tenth. Donovan asks the 460 students in the 7 th and 8 th grade whether they prefer pizza or hamburgers for lunch. Of the 7 th graders 215, prefer pizza and 35 prefer Grade 7 8 Food Selected Pizza Hamburger hamburgers. Of the 8 th graders, 22 prefer pizza and 188 prefer hamburgers. Complete the table to show this data set. 11

12 Classify the real number (natural, whole, integer, rational, irrational).! 343 Solve the system by substitution. 5x 2y = 10 y = 3x 4 Which equation does not represent a function? a) y = 3x b) 5y = 4x c) y = 3 x d) x 2 = y 2 Tell whether the triangles are similar. Explain. What is the relative frequency of students who do not have a pet? Have a Pet 8 th Grade Students Yes No Yes No

13 The depth of Nathans binder is 2! a decimal?!" inches. What is this measurement as Jasmine went shopping and spent $56 on accessories and clothes. She spent $18 more on clothes than on accessories. Write and solve a system of equations to find how much she spent on each. Monica teaches piano lessons. She charges $35 for a lesson. If the input is the number of lessons Monica teaches, write a rule for the amount she earns in dollars? Prudence is creating a garden in her backyard. She wants it to be the shape of an equilateral triangle with sides of length 20 feet. What will be the area of this triangular garden? Round your answer to the nearest whole foot. What type of association is shown in the scatter plot? a) a negative linear association c) a positive linear association b) a negative nonlinear association d) no association 13

14 A napkin has an area of 5 square inch. What is the side length of the napkin to the nearest hundredth of an inch? Solve the system by elimination. 3x + 4y = 16 3x y = 14 Tickets to the school dance cost $4 each. Let the input equal the number of tickets purchased and the output equal the total price in dollars. Complete the table of (input, output) pairs. Input Output Find the volume of a cone with a diameter of 6 feet and a height of 3 feet. Round your answer to the nearest tenth. Describe the center and spread of the distribution. Justify your response based on the shape of the distribution 14

15 Which is smaller, the circumference of a circle with a diameter of 3 meters or the perimeter of a square with the side length 5 meters. 1 milligram is equal to 10 3 grams. Write this number using a positive exponent. Identify each function as increasing or decreasing? x y = 4 + 5x y y = x + 25 The volume of Tanya s ice cream cone is 4.71 cubic inches. Find the height of the cone. Round your answer to the nearest tenth. Rosaria is saving to buy a cellular phone. Her savings, in dollars, for the last eight weeks are 26, 34, 36, 27, 35, 38, 32, 27, and 35. Which is greater: Rosaria s median weekly savings or Rosaria s mean weekly savings? 15

16 Classify the real number (natural, whole, integer, rational, irrational). 0 What is the slope of a line that is perpendicular to the line y = 0.25x + 5? Determine whether the following equation represents a linear function. y = 1 + x x x Find the volume of the sphere. Round your answer to the whole number. Construct a scatter plot of the data. Then draw a line that best seems to represent the data. x y

17 Which two whole numbers is 6 between? What value of w makes the equation below true? 2(3r + 11) = 7r 3r Determine whether the table below represents a linear function. Input Output Find the radius of a sphere with a volume of 2304 cubic inches. If a data distribution is not symmetric, you should use its to describe the center? a) mean b) median c) mode d) range 17

18 Write an expression for the exact perimeter of a square with a side length of 11 millimeters. The sum of 10 and one-third of a number is equal to 13. What is the number? Two pairs of related (x,y) values for a function are (2, 4) and (4,2). Write the equation of the function. Find the volume of the composite solid. Round your answer to the nearest tenth. Explain whether the scatter plot of the data shows a positive, negative, or no association. 18

19 Between which two hundredths is the decimal aproximation of 7. The length of a basketball court is twice its width. The perimeter is 120 feet. Find the length and width of the basketball court. The hot water heater in the Alvarez s home holds 70 gallons of water. Each shower taken by a person in the home uses 5.4 gallons of water. Write an equation for the function relating the number of people who take a shower and the number of gallons left in the heater. The solids are similar. Find the surface area S of the shaded solid. Fionna read a novel for her book club. The minutes she read each night are 50, 25, 35, 60, 40, 45, 35, 55, 30, and 40. What is the median number of minutes Fionna read? 19

20 Is!!!! rational or an irrational number? Find the square root(s). ± 9 25 Describe the relationship between the two quantities. The solids are similar. Find the missing dimensions. Joel is training for the marathon. In the past five weeks he ran 25, 27, 21, 21, and 35 miles. What is the range for the number of miles he ran last week? 20