Name: ____________________________________ Homework #10 - Interim 2 Review Work Must be shown to receive credit! 1. The map of an amusement park is placed on the coordinate plane. When this is done, the roller coaster is located at the point (−9, 8) and the Ferris wheel is located at the point (2, 8). What is the horizontal distance between the roller coaster and the Ferris wheel? Answer: units 2. The table below contains the elevations where five different sea dwellers live. Sea Dweller Elevation Atlantic Wolffish Pair −500 meters Frilled Shark −1.5 kilometers Giant Spider Crab −0.3 kilometers Giant Tube Worm −2,400 meters Six Gill Shark −2.5 kilometers Which sea dwellers live deeper in the ocean than the Frilled Shark? Select Yes or No for options A through D. A. Atlantic Wolffish Yes No B. Giant Spider Crab Yes No C. Giant Tube Worm Yes No D. Six Gill Shark Yes No 3. Drag and drop the numbers from the box to put them in order from least to greatest absolute value. Least 4. Evaluate Greatest and explain what the answer means. A. 6; the opposite of -6 B. 6; the distance that -6 is from zero C. -6; the opposite of 6 D. -6; the distance that 6 is from 0 5. June was flipping through the channels on her TV and heard the meteorologist on the news say, “It is going to be below 0°F on both Monday and Tuesday of this week with Tuesday’s temperature slightly warmer that Monday’s.” Choose a possible temperature for Monday and Tuesday based on the meteorologist’s forecast. Justify your choices. 6. The following problem was assigned last night for homework: List the following rational numbers in order from greatest to least. Include inequality symbols. -7.4, 7.4, -7.04, 0.74 Which student completed the problem correctly? A. Student A: -7.4 < -7.04 < 0.74 < 7.4 B. Student B: 7.4 > 0.74 > -7.04 > -7.4 C. Student C: 7.4 < 0.74 < -7.04 < -7.4 D. Student D: 7.4 > 0.74 > -7.4 > -7.04 7. Four students plotted a number they were given in math class on a number line on the front board as shown below. Did each student plot his or her number correctly? Select Yes or No for options A – D. A. Juan plotted -1.75 Yes No B. Chloe plotted 2.25 Yes No C. Latrell plotted -3 Yes No D. Dasia plotted -3 Yes No 8. Use the graph below to answer the question below. Which point is the correct location of the ordered pair (-4 , 6)? A. A B. B C. C D. D 9. Look at the bank of numbers below: 1 2 3 4 5 6 8 10 12 15 -1 -2 -3 -4 -5 -6 -8 -10 -12 -15 Using the numbers from the box, create 3 pairs of opposite integers that could be placed on the number line. 10. Kai completed the following two math problems during class: Find a mistake he made in each problem. Explain it to him and then find the correct answer. 11. Luke completed the following problem for homework last night: 264 ÷ 99 Find one mistake in his work. Explain the mistake to him and how to correct it. Then, find the correct answer. 12. During physical education class Dwayne ran 2.5 miles on the treadmill. His friend ran 5 kilometers. If 1 mile equals 1.609 km, which student ran a further distance and how much further did he run? A. Dwayne; 3.45 km B. Dwayne; 4.0225 km C. Dwayne’s friend; 0.9775 km D. Dwayne’s friend; 2.5 km 13. Gabrielle bought herself 1.75 lbs. of fudge while on vacation. Each night after dinner she has a serving of fudge 0.2 lbs. in size. How many full 0.2 lb. servings are in the 1.75 lbs. she purchased? There are full 0.2 lb. servings of fudge. Figure 1 Jason works during the summer as a cashier at the mall. He makes $8.75 per hour. The table below shows the number of hours he worked each week during the month of July. Week Hours Worked 1 15.5 2 19 3 16.25 4 18.75 14. [Refer to figure 1] How much more money did he earn in week 2 than he did in week 3? Round to the nearest cent. Jason made $ more during week 2 than he did during week 3. 15. Lucy purchased 2.7 lbs. of apples that were on sale for $2.50/lb. If she paid with a ten dollar bill, how much change did she receive? A. $6.75 B. $3.25 C. $5.20 D. $4.80 16. There is of a gallon of milk remaining in the refrigerator. A milkshake requires of a gallon of milk. How many milkshakes can be made from the milk remaining in the refrigerator? You can make milkshakes with the remaining milk. Figure 2 Use the information in the table below to answer the question. Trent’s Monthly Budget Item Allotment Cell Phone College Savings Entertainment Gas Groceries 17. [Refer to figure 2] How many times greater is the amount of Trent’s College Savings compared to the amount he spends on his Cell Phone each month? A. 1 B. C. 3 D. 18. Julia has a job stocking shelves at the local grocery store for the summer. Each shelf is 14 inches tall, and she is stacking cans that are 1 inches tall. Her boss tells her that she needs to stack the cans in stacks of 12 on each shelf. Is it possible for her to do this? A. Yes, because 17 cans can fit. B. Yes, because 18 cans can fit. C. No, because only 9 cans can fit. D. No, because only 11 cans can fit. 19. A model rocket was launched from the ground and shot 150 feet straight up. It then fell back down to the ground and landed in the same place from which it was launched. Which expression shows how far the rocket traveled? A. |150| - |150| B. |150| - |–150| C. |150| + |–150| D. |150| + (–|150|) 20. What number is the greatest distance from zero on a number line? A. –45 B. –50 C. 15 D. 47 21. Which of the following lists is in order from least to greatest? A. –50, –38, –19, –5, –4 B. –25, –56, 48, –21, 1 C. –65, –43, 31, –13, –2 D. –1, –15, –68, –37, –52 22. The table below lists some of the most extreme elevations on Earth. Which statement is true? A. −422 ≥ −28 B. −50 > −28 C. −28 < −50 D. −155 < −50 23. Which quadrant does the ordered pair (12,-1) lie in? A. I B. II C. III D. IV 24. Hot dogs are sold in packages of 10 and rolls are sold in packages of 8. What is the least number of packages of each that Joanne should buy so that she has the same number of hot dogs and rolls? packages of hot dogs and 25. What is the greatest common factor of 12 and 56? Answer: packages of rolls Answer Key for Math 6 Interim 2 Review (6.ns) 1. 11 10. 19. C Sample Response: In question 1, Kai found the LCM instead of the GCF. The GCF of 4 and 6 is 2, not 12. In question 2, Kai found the GCF correctly. When he used the Distributive Property, he forgot to factor out the GCF from 35. The correct answer should be 5(4 + 7). 2. No, No, Yes, Yes 11. 20. B Sample Response: When Luke set up his long division problem he switched the divisor and dividend. He should have put the 264 (the dividend) inside the division bar and the 99 (the divisor) outside the division bar. The correct answer after reducing the remainder is 2 . 3. First Number: 0 Second Number: 1.3 Third Number: 1.55 Fourth Number: -3.75 Fifth 12. C Number: -4 Sixth Number: .5 Seventh Number: 5.02 Eighth Number: 5.2 4. B 13. 8 5. 14. 24.06 21. A 22. D 23. D Sample Response: Monday: -5°F Tuesday: -2°F The meteorologist stated that it is going to be “below 0°F.” Numbers that are below zero are negative, so both temperatures have to be negative. Tuesday is going to be “slightly warmer” than Monday, so Tuesday’s temperature has to be a temperature that is closer to 0°F compared to Monday’s temperature. Larger numbers are to the right of smaller numbers on the number line so -2°F is greater than -5°F (it is also located closer to 0°F on a number line). Notes for Teachers Standard 6.NS.7b requires students to explain statements of order for rational numbers in real world contexts. This question requires students to associate a real world description of two numbers described in words in relation to each other and zero into numbers and justify. 6. B 15. B 7. Yes, Yes, No, No 16. 6 24. 4, 5 25. 8. A 9. To create a number line appropriately, you need to create a scale. Remember to include 0 as a number when you are making your scale. Then, place pairs of opposites correctly around “0” on the number line using your scale. The possible scales you can use based on the numbers in the box are to count by ones, twos, fours or fives. 17. C 18. D 4
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