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Seventh Grade Weekly Homework Week 4 Date: August 29 Name: Power Standards 6.2 Fractions, Decimals, Percent MONDAY TUESDAY Write an equivalent percent for 2.5 A truck driver drove 49 miles in 1⅓ hours. What was the average speed in miles per hour for this trip? 6.3 Integer Operations Put the following in ascending order 19, -5, -1, -9, 4 A scuba diver dives down 20 feet into W. Dews WEDNESDAY THURSDAY Which of these are true? 5.2 < 57% 63% > 0.65 0.36 < ⅜ 3/10 = 0.03 A surf shop is holding a sale. The sale price of a surf lesson is 25% off the regular price. The regular price is $80. What is the price of the discounted surfing lesson? The temperature at 6:00 P.M. was 15ºC. The temperature dropped 2ºC per hour. What was the temperature at 4:00 A.M.? -2(-21)(-5) the ocean. He then swims 11 feet back up towards the surface. What is the position of the scuba diver relative to the surface? 6.7 Proportional Reasoning Complete using <, >, or = 4 tables 3 groups _____ 6 tables 5 groups 6.17 Functional Relationships 5.18,6.18 Equations You can buy five pounds of grapes for $9.95. Write a proportion that 10ft gives you c, the cost of four pounds The theoretical probability that you will try out for the school play is 1/10. There are 22 students in your class that try out for the school play. How many students are in your grade? There are 45 crayons in a box. You choose 5 from the box, of which 3 are red, 1 is yellow, and 1 is blue. How many of the 45 crayons would you expect to be yellow? You flip a coin 50 times. Of the 50 flips, the coin lands on heads 30 times. Compare the experimental probability of flipping heads with the theoretical probability of flipping heads. You roll a number cube and flip a coin. Find the probability of rolling a 3 and flipping tails. What are the next three Complete the table or the function, “The output is 4 less than the input.” The table shows the times m in minutes to download s songs. How long does it take to download one song? Complete the table using the following rule: For each output, multiply the input by 3, and then add 4. terms in this geometric sequence? 48 ÷ (-6) + 6+ Input x Output y -35 ÷ 7 =4 There are two answers. 5.19,6.19 Number Properties 80 of grapes. Hint: 6.20 Inequalities B Approximately what percent of 80 is 55? 5000, 500, 50, 5 ___, ___, ___ 5.7,6.8 Order of Operations, Algebraic Expressions 55 A Garden A and B are similar. It takes you 30 minutes to plant garden A. How long does it take to plant garden B? 66 pages _____ 99 pages 2 hours 3 hours 6.16 Probability 5ft 4 ft 1 2 3 4 4⅞ ÷ ¾ 0.5 2 1.5 6 2.5 10 18.2 is 4 plus the product of -2 and a number x. Graph the solution on a number line. k + 10 ≤ 6 Show how to add the following expression using the commutative property. Which property of addition would you use to solve the following expression? 3.7 + 2.9 + 1.1 + 2.3 Input x Output y 10 31 22 4 16 Evaluate the expression when a = 4 and b = -8. -6w + 4w + 7w a2 – 15 + 3b Solve. You and three friends are making a gift basket. You want to keep the cost below $12 per person. Write and solve an inequality that represents the total cost of the gift basket. 35 + 77 + 55 = Minutes Songs Write the word sentence as an equation and solve. -2.5 + w = 3.7 The sum of a number b and negative 12 is 6. Select all numbers which are solutions to the following inequality. x ≤ -3 9 6 -9 -3 -4 -3 4 0 Which property would you use to justify this step? 4x = 24 x=6 Solve the inequality. ¾ p > -6 Step 1 Step 2 -7(x +4) = 11 -7x – 28 = 11 Which property was used to go from the first step to the second?