Everglades K 12 Publishing s Mathematics Florida Standards Grade 7 Summative Assessment 1

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1 Everglades K Publishing s Mathematics Florida Standards Grade 7 Solve and answer all of the problems on this assessment. Select the best answer for each of the Multiple Choice, Multi Select, and Matching Item problems. Complete the Equation, Table, Natural Language, Graphic Response Drag and Drop, Graphing, Drawing and/or Hot Spot Response problems. For, Multiple Choice Response. Heather walked miles in of an 3 hour. What is Heather s walking rate? miles per hour 3 miles per hour 4 miles per hour 3 4 miles per hour 4. A chicken s egg laying productivity is affected by its age and environmental factors. Mr. Ron raises free range chickens and records the number of eggs his chickens produce each day. At the height of productivity, his flock was laying an average of 4800 eggs a day. The current level of production is about 3840 eggs per day. a. What was the percent of decrease in egg laying production?. Kel has 6 nickels, dimes and 4 quarters in his pocket. What is the likelihood that Kel will choose a nickel from his pocket? impossible likely as likely as not certain For 3 4, Equation Response 3. On a scale drawing, a kitchen measures 3 inches by inches. If the scale 4 used to create the drawing is in: 4 feet. What is the actual size of the room? b. Mr. Ron s cost for each dozen of eggs produced is $.90. If he marks up the price of a dozen eggs by 60%, what is the selling price of a dozen eggs? c. What is the difference in the amount of profit Mr. Ron made per day, at the height of production compared to the amount he is making now? Explain how you determined your answer. page

2 Everglades K Publishing s Mathematics Florida Standards Grade 7 5. Multiple Choice Response Concert tickets cost $55 each and all online purchases are charged a $4 processing fee. Which expression can be used to find the total cost of n number of tickets bought online? $55n $4 $4n $55 $4 + $55n $4($55n) 8. Which of the following does NOT represent the same proportional relationship as the others? c = 40t, where c = cost and t = number of tickets Chart Tickets Cost $80 $0 $60 $00 6. Table Response (, 40) A book store records its net profit or loss each day. Complete the table by finding the store s profit or loss on Wednesday. Day Profit or Loss Monday $ 344 Tuesday $ 50 Wednesday Thursday $ 4 Friday $ 87 Weekly Net Profit or Loss $, 06 Graph Cost in Dollars Number of Tickets For 7 8, Multiple Choice Response 7. Which expression is equivalent to 6x + y? 4(4x + 3y) 6(x 4y) 8(x + y) 6(0x + 6 y) 9. Equation Response The circumference of a circular mirror is 3.4 cm. What is the area of the circular mirror? Use = 3.4. page

3 Everglades K Publishing s Mathematics Florida Standards Grade 7 0. Multi Select Response Sonja manages a bakery and wants to compare the number of cakes sold to the number of pies sold. She takes a random sampling of the daily sales for the month of March and plots the data. Which of the following statements are true about the data? For, Equation Response. Javier invests $,500 into an account earning 3 % simple interest. What will be the total amount in the account after 5 years if no other deposits are made?. Teresa earns $0.60 per hour and works 40 hours per week. How much more money will Teresa earn per week after she receives a 3% raise? The median number of pies sold is greater than the median number of cakes sold. The median number of pies sold is less than the median number of cakes sold. The number of cakes sold per day will always be greater than the number of pies sold per day. There is a greater amount of variability in the number of pies sold per day than there is for then number of cakes sold per day. The number of cakes sold per day and the number of pies sold per day is fairly consistent. The number of cakes sold per day and the number of pies sold per day will vary greatly. For 3 4, Multiple Choice Response 3. Which expression does not have the same value as the others? 4 ( 3)( 4) ( ) 4. A random sampling of 50 middle school students found that 4 students ride a bike to school every day. If there are 45 students in the school, predict how many students ride their bike to school each day page 3

4 Everglades K Publishing s Mathematics Florida Standards Grade 7 5. Equation Response Mrs. Martinez is mailing a glass vase to her friend. The box containing the vase measures 6 in. 6 in. in. Mrs. Martinez has ft of wrapping paper. a. Does Mrs. Martinez have enough wrapping paper to cover the box? Justify your answer. c. Mrs. Martinez plans on using Styrofoam peanuts to fill the space between the gift box and the mailing box. Find the volume of the space which will be filled with Styrofoam peanuts. Explain how you determined your answer. For 6 8, Multiple Choice Response in. 6 in. b. Once the vase is wrapped, Mrs. Martinez plans on mailing the gift in a box which measures 8 in. 8 in. 4 in. What is the volume of box that will be used to mail the gift? 4 in. 6 in. 8 in. 8 in. 6. A toothpaste manufacturing plant produces 4000 tubes of whitening toothpaste, 400 tubes of tarter control toothpaste and 300 tubes of fluoride toothpaste per day. The plant manager wants to perform a random sampling to make sure quality control standards are being met. Which sampling method would yield the best results? Randomly sample 5 tubes of each type of toothpaste. Randomly sample 40 tubes of whitening toothpaste, 30 tubes of tarter control toothpaste and 35 tubes of fluoride toothpaste. Randomly sample 5 tubes of whitening toothpaste, 3 tubes of tarter control toothpaste and 4 tubes of fluoride toothpaste. Randomly sample 5 tubes of whitening toothpaste, 5 tubes of tarter control toothpaste and 0 tubes of fluoride toothpaste. page 4

5 Everglades K Publishing s Mathematics Florida Standards Grade 7 7. Which of the following side lengths will produce a unique triangle? 7cm, cm, 0 cm 6 in., in., 6 in. 3 m, 6 m, 9m 5 ft., 8 ft., ft. 8. Which of the following best describes the cross section created when the figure is intersected by a vertical plane? For 0 4, Equation Response 0. You purchase 3 comic books and one action figure for $6.0. The action figure cost $9.75 and the comic books have the same price. Write and solve an equation to find the price of each comic book.. A spinner is divided into three equal sections: red, yellow and green. Red Green Yellow square rectangle triangle trapezoid 9. Graphic Response Hot Spot / Equation What value from the number line can be added to point A so that the sum is greater than the opposite of A? A a. Write the sample space in the format: first spin, second spin, third spin. b. What is the probability that the first spin is red and the second spin is green? + = c. What is the probability of all three spins landing on yellow? page 5

6 Everglades K Publishing s Mathematics Florida Standards Grade 7. What is the probability of rolling a number less than 3 on a number cube? 3. Find the value of x and y in the figure below. x 5. Multiple Choice Response Mrs. Taku wants to hang two paintings on her bathroom wall. She wants to space the paintings 0 inches apart and she wants the distance between the edge of the frames and the edge of the wall to be the same. 6 in. 7 3 ft. 6 in. 4 y 4. The volume of the pyramid below is 540 cm 3. What is the height of the pyramid? What will be the distance between the edge of the frames and the edge of the wall? feet inch feet 0 inches 3 3 feet feet? 9 cm cm page 6

7 Everglades K Publishing s Mathematics Florida Standards Grade 7 6. Multi Select Response A bag contains 3 red marbles, 5 blue marbles, and 4 yellow marbles. A marble is selected from the bag without looking, its color recorded, and returned to the bag. The results of 60 selections are shown below. Marble Selections Red Blue 6 Yellow Which of the following statements are true? The relative frequency of selecting a red marble is 4. The relative frequency of selecting a blue marble is The relative frequency of selecting a yellow marble is 3. The relative frequency of selecting a blue marble is 5. The relative frequency of selecting a yellow marble is 30. The relative frequency of selecting a red marble is Matching Item Response Determine whether each fraction terminates or repeats when converted to a decimal. Then write the decimal value of the fraction in the appropriate box. Fraction Terminates Repeats Graphic Response Drawing / Multiple Choice Response The table lists the quiz grades for two students. Quiz Grades Student A Student B a. Draw parallel box plots to represent the data. page 7

Everglades K Publishing s Mathematics Florida Standards Grade 7 b. Which measures do both students have in common? Mean Median Interquartile range Range 9.

8 Everglades K Publishing s Mathematics Florida Standards Grade 7 b. Which measures do both students have in common? Mean Median Interquartile range Range 9. Graphic Response Drawing Draw a quadrilateral with only one pair of parallel sides and one line of symmetry. For 30 3, Multiple Choice Response 30. A survey was conducted comparing the weight of 4 th graders backpacks to 7 th graders backpacks. The survey results are given below. Backpack Weight What is the difference between the medians expressed as a multiple of the greater interquartile range? A baseball pitcher throws knuckleballs, curveballs, fastballs and sliders. A score keeper records the types of pitches thrown by the pitcher. Of the last 40 pitches, were fastballs. What is the experimental probability that the next pitch will be a fastball? Graphic Response Drawing a. Model the expression on the number line. b. What is the solution to the expression? = page 8

9 Everglades K Publishing s Mathematics Florida Standards Grade Multiple Choice Response Which expression represents x tripled and then increased by 5%? 3x + 0.5x 3x +.5x 3(x +.5) 0.5(x + x + x) 34. Graphic Response Graphing / Equation Yusaf has no more than $60 to spend on guitar lessons. Yusaf already owns a guitar, but he needs to purchase a music book for $8 and the price of each lesson is $30. a. Write and solve an inequality to find the maximum number of lessons Yusaf can take. Let n = the number of lessons For 35 36, Equation Response 35. A red flag has a yellow sun on it. The yellow sun has a diameter of feet. Find the area of the red region. Use = feet 4 feet 36. Kim and Kourtney have identical acre lawns to mow. Kim mows acre of her lawn in hour. Kourtney mows 3 3 acre of her lawn in hour. If Kim and Kourtney continue mowing at the same pace, who will finish mowing their lawn first? Explain your reasoning. b. Graph the solution on the number line below. page 9

10 Everglades K Publishing s Mathematics Florida Standards Grade Which of the following expressions will have a positive result? ( ) ( 8) ( 3) 4 +( 6) ( 9) 38. Which of the following cannot be the probability of a chance event? 00% 0%.0% 0% 39. A newspaper reporter wants to know which candidate running for mayor will most likely win the upcoming election. Which method of sampling will yield unbiased results? Surveying every 0 th person who contributed money to the Democratic Party. Surveying every 0 th person who walks into the newspaper s office building. Surveying every 50 th person from a list of registered voters. Surveying every 00 th person who subscribes to the newspaper. 40. Natural Language Response Identify the properties or strategies used to write the equivalent expression below. 3(a + 7) (a ) = 3a + a + 3a + a + = 3a a + + 3a a + + = a Equation Response A school supply warehouse receives a shipment of 00 cases of crayons. Each case contains 4 boxes of crayons. The warehouse manager notices some of the boxes contain melted crayons. The manager takes a random sampling to determine how many boxes of crayons might be defective. Number of Case Defective Boxes A 5 B 8 C 4 D 7 How many boxes of crayons may contain melted crayons? page 0

11 Everglades K Publishing s Mathematics Florida Standards Grade 7 4. Graphic Response Drawing a. Create a scale drawing of the rectangle below. Scale 56 ft. 3 ft. units: feet 43. Multi Select Response Select the expressions equivalent to the expression below. (7x 8) + 3.5x x 30 7x 8 7x 8 7x 8 7 x 9 b. What is the perimeter of the rectangle you created? page

12 Everglades K Publishing s Mathematics Florida Standards Grade 7 For 44 45, Multiple Choice Response 44. Determine if the relationship shown in the graph below is proportional. 46. Equation Response Find the measure of and in the diagram below. y x The relationship is proportional because a straight line can be drawn through the points. The relationship is not proportional because the point (0, 0) is not included on a line drawn through the points. The relationship is proportional and the unit rate is 80. The relationship is not proportional because there are points missing on the graph. 47. Graphic Response Drawing A piece of pipe is cut on an angle. Draw the cross section in the space. 45. Mrs. Krylo bought a large bag of prizes. In the bag, there are 40 erasers, 50 pencils, 60 stickers, 30 key chains and 0 super balls. If a student randomly chooses a prize, which of the following has a probability greater than 40%? choosing a pencil choosing a sticker or a super ball choosing an eraser or a key chain choosing a sticker or an eraser page

13 Everglades K Publishing s Mathematics Florida Standards Grade 7 For 48 50, Equation Response The attendance clerk at Clarke County Middle School randomly picks 0 school days in October and 0 school days in February and records the number of students absent each day. October: 4, 50, 38, 6, 49, 70, 35, 46, 56, 49 February: 57, 8, 64, 98, 63, 03, 49, 6, 55, 7 a. Calculate the mean and the mean absolute deviation for each data set. b. What can you infer from the data about absences in the months of October and February? Give a possible explanation for the differences in the number of absences. 49. Due to evaporation, the water in a barrel decreases at a rate of 5 of an 8 inch per day. If the depth of the water in the barrel is 4 feet, what will be the depth of the water after 4 weeks? Justify your answer. 50. A furniture store is having a clearance sale to allow room for new merchandise. A $600 sofa is on sale for $040. If a $400 dining set table is discounted at the same percentage rate as the sofa, what will be the sale price of the dining set? Justify your answer. 5. Multiple Choice Response If p represents a positive number and n represents a negative number, which of the following will result in a positive solution? (p)()(n) (p)(n)( ) (n)(0)(p) (n)( )(n) page 3

14 Everglades K Publishing s Mathematics Florida Standards Grade 7 5. Graphic Response Drawing / Equation Four students are running for class president: Aaron, Cameron, Haley and Savannah. Three are running for vice president: Brent, David and Kyle. a. Draw a tree diagram to show the sample space of possible outcomes for the elections. 53. Multiple Choice Response Which real world situation can be represented by the expression below? 0 + ( 8) The temperature is 0 F and drops 8 F. A geologist drills 0 meters, takes a soil sample, and then drills another 8 meters. Sara owes her mother $0 and earns $8 babysitting. Debra was 0 years old when her brother was Table Response b. What is the probability that a girl will be elected president and a boy vice president? c. What is the probability that Aaron will be elected president and Brent will be elected vice president? a. Complete the table so the relationship between the length of the wire and the number of lights is proportional. Length of Wire foot Number of Lights 6 feet 4 9 feet 576 b. Write an equation to represent the proportional relationship shown in the table. Let x = length of wire y = number of lights page 4

15 Everglades K Publishing s Mathematics Florida Standards Grade Equation Response Kris wants to make hummus. He finds the following recipe on the internet. Hummus cup garbanzo beans cup olive oil 4 teaspoon salt For 57 58, Equation Response 57. What is the surface area of the cylinder below? Use = cm 0 cm If Kris accidently uses cups of garbanzo beans, how many teaspoons of salt should he use? 56. Multiple Choice Response Which graph is a solution to the inequality: x 8 4? Find the value of the variable in the equation below. 6(5x + 4) = Multiple Choice Response A realtor earns 4 % commission on the sale of a house. If the realtor s commission was $4,400, what was the price of the house? $36,000 $30,000 $375,000 $88, Equation Response What is the product of 6 and 3? page 5

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