Standard 7.NS.1(b)(c)(d) Worksheet 2 Assessment ID: dna ib

Transcription

1 1 If y lies on a number line, and x is added to y, which of the following would be true about the location of y + x? Assume that x is not zero. A. The location of y + x would only be to the right of y. B. The location of y + x would be in the same location as y. C. The location of y + x would only be to the left of y. D. The location of y + x would be either to the left of y or to the right of y. 2 Which of the following expressions is equal to 25? A B C ( 40 D. 15 ( A flying fish jumped 13 8 inches out of the water and then dove down to 32 5 inches under water. What 12 rational number represents the change from the fish's highest point to its lowest point? 4 Find the difference = is an example of the property. A. commutative B. associative C. additive inverse D. additive identity 6 A scruba diver dives down 36 feet into the ocean. He then swims 11 feet back toward the surface. What integer represents the position of the scuba diver relative to the surface? 7 Write the absolute value of -15. Generated On October 11, 2014, 2:14 PM PDT Page 1

2 8 A student is planning to hike a mountain that has three peaks. The third peak is the highest peak on the mountain and its height is 2304 feet above sea level. In order to reach the third peak the student must pass through the first peak followed by the second peak. The height of the first peak is 1152 feet above sea level and the height of the second peak is 800 feet below the third peak. What is the difference, in feet, between the height of the second peak and the height of the first peak? feet 9 Determine if each statement below is always true, sometimes true, or never true. Let m and n be two different integers. 1. For any value of m and n, m n = n m. 2. For any value of m and n, m n = n m. Explain your reasoning for each statement. 10 Mr. Pease, a science teacher, records the air temperature, in degrees Celsius, every two hours. The table below shows part of Mr. Pease's temperature data. Complete the table using the following information: Between 10 a.m. and 12 p.m., the temperature increased by the same amount as between 8 a.m. and 10 a.m. Between 12 p.m. and 2 p.m., the temperature decreased by 5 degrees. Time Temperature ( C 6 a.m. 3 8 a.m a.m p.m. 2 p.m. 11 Bruce claims that for any two integers r and s, the location of r + s is to the right of r on the number line. Which statement best classifies Bruce's claim? A. Bruce's claim is never true for two integers r and s. B. Bruce's claim is true only when r is a positive integer. C. Bruce's claim is true only when s is a positive integer. D. Bruce's claim is always true for any two integers r and s. Generated On October 11, 2014, 2:14 PM PDT Page 2

3 12 Rational numbers m and n are plotted on the number line below. Based on the number line, which statement is true? A. The value of n m is positive. B. The value of n + m is positive. C. The value of n + m is negative. D. The value of (n m is negative. 13 Determine if each statement below is always true, sometimes true, or never true. 1. If k is a negative number, then k + 2 is a negative number. 2. If k is a negative number, then k 2 is a negative number. Explain your reasoning for each statement. 14 The table below shows a relationship between values in Column A and values in Column B. Column A Column B The flowchart below shows the relationship between the values in Column A and Column B. Complete the flowchart with an appropriate sentence which describes how the output value is found from the input value. Using this relationship, fill in the empty space in Column B of the table. Generated On October 11, 2014, 2:14 PM PDT Page 3

4 15 Prove or disprove the following statement: For any integer n, the sum of 3 + n is located to the right of 3 on a number line. 16 The temperature at 6 a.m. on a winter day was 7.8 Celsius. The temperature went up by 1.9 degrees by noon. To determine the temperature at noon, Michael wants to perform the following operation: Michael decides that the sum will be negative since 7.8 is greater than 1.9. He then adds to get 9.7, and believes that the noon temperature is 9.7 Celsius. Explain the flaw in Michael's reasoning. Determine the correct temperature at noon. 17 Hiram believes that the quantity 5.1 x is sometimes smaller than 5.1 and sometimes larger than 5.1. Provide a value of x for which 5.1 x is smaller than 5.1. Determine the difference of 5.1 x. Provide a value of x for which 5.1 x is larger than 5.1. Determine the difference of 5.1 x. 18 A restaurant can only have 285 customers at one time. At 12:00 p.m., this restaurant had 216 customers. Part A: Over the course of a lunch period, 1 3 of the customers leave and 147 new customers come to the restaurant. Does the new amount of customers exceed 285? Show your work. Part B: At dinner, there are 47 tables of 4 and 16 tables of 5. How many customers are in the restaurant? Show your work. 19 Elevations above sea level are given as positive integers, while elevations below sea level are given as negative integers. Anita is located at meters, while Bob is located at 12.6 meters. Write an expression involving absolute value that could be used to find the vertical distance between Anita and Bob. Casey and Guillaume are same vertical distance apart as Anita and Bob. What could be the elevations of Casey and Guillaume? Generated On October 11, 2014, 2:14 PM PDT Page 4

5 20 West Lake Middle School is going to add either soccer or track and field to the sports that it offers in the spring. To determine which sport to add, the athletic director took a survey of all the students to see which sport they like more. Out of the th graders, 71 like track more th graders like soccer more, while 79 like track more. Out of the 202 8th graders, 94 like soccer more. Part A: Fill in the following two way table. 6 th Graders 7 th Graders 8 th Graders Total Soccer Track and Field Total Part B: Which sport do the students at West Lake Middle School like more? 21 Use the number line below to determine the sum of = Explain how you used the number line to determine the sum. 22 The price of a barrel of oil changes every weekday. The changes in price for a week are shown below. Day Price Change (Dollars Monday Tuesday 1.02 Wednesday 0.93 Thursday Friday 0.30 Calculate the total price change, in dollars, for the week. Explain how you determined your answer. Generated On October 11, 2014, 2:14 PM PDT Page 5

6 23 Which of the following situations results in a sum of 1 1 2? Select all that apply. A. I painted 5 8 of one room and 7 8 of another. B. I gained pounds and my wife lost 8 pounds. C. I had bottles of juice and drank of them. D. I cut inches from my grass. The grass grew inches over the next week. E. I used up 1 4 of a pound of coffee and bought of a pound of coffee from the store. F. I used 3 4 of a pound of ground beef to make burgers and purchased of a pound of ground beef. 24 Which of the following expressions results in a positive number? Select all that apply. A ( 0.75 B. 5 + ( C D E ( F Generated On October 11, 2014, 2:14 PM PDT Page 6

7 25 Which of the following expressions are equal to 58? Select all that apply. A ( 78 + ( 34 B C ( D E. 78 ( 34 + ( 14 F Which of the following expressions are equivalent to? Select all that apply. 6 A. 2 ( B. 1 C. D. E. F ( ( ( Monica wants to save at least $399 to buy a new laptop computer. She has $284 saved already. Which option(s below will allow her to have enough money to buy the computer? Select all that apply. A. She spends $22 and earns $93. B. She is given $38 and earns $42. C. She earns $56 and is given $59. D. She spends $82 and earns $94. E. She is given $205 and spends $57. F. She earns $580 and spends $422. Generated On October 11, 2014, 2:14 PM PDT Page 7

8 28 Which of the following expressions are equivalent to 3 2 A B C D ? Select all that apply. E F Which of the following expressions have a value that is less than 2? Select all that apply. A B ( 2.75 C D ( 5.25 E (4.75 F ( 2.25 Generated On October 11, 2014, 2:14 PM PDT Page 8

9 30 Hayley is making trail mix using the ingredients listed below cups cereal 3 4 cup nuts 1 4 cup coconut cups chocolate chips What is the total amount of all four ingredients? A cups B cups C cups D cups Stop: You have finished the assessment. Generated On October 11, 2014, 2:14 PM PDT Page 9