9.5 Numerical Patterns Homework
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2 Name: 9.5 Numerical Patterns Homework Complete the rule that describes how one sequence is related to the other. Use the rule to find the unknown term. 1. Multiply the number of laps by to find the number of yards. 2. Multiply the number of pounds by to find the total cost. 3. Multiply the number of hours by to find the number of miles. 4. Multiply the number of hours by to find the amount earned. 5. Which statement about the corresponding terms in both Pattern A and Pattern B is always true? Pattern A: 4, 12, 36, 108 Pattern B: 16, 48, 144, 432 A. Each term in Pattern A is 4 times the corresponding term in Pattern B. B. Each term in Pattern A is 1 times the corresponding term in Pattern B. 4 C. Each term in Pattern A is 3 times the corresponding term in Pattern B. D. Each term in Pattern A is 1 times the corresponding term in Pattern B Which statement about the corresponding terms in both Pattern A and Pattern B is always true? Pattern A: 2, 4, 6, 8, 10 Pattern B: 14, 28, 42, 56, 70 A. Each term in Pattern A is 2 times the corresponding term in Pattern B. 1 B. Each term in Pattern B is 7 times the corresponding term in Pattern A. C. Each term in Pattern A is 7 times the corresponding term in Pattern B. D. Each term in Pattern B is 7 times the corresponding term in Pattern A.
3 7. 1. Which Statement is true in regards to Sequence 1 and Sequence 2? Each term in Sequence 2 is 8 more than each corresponding term Sequence 1 Each term in Sequence 2 is 3 times each corresponding term in Sequence 1 Each term in Sequence 1 is 4 times each corresponding term in Sequence 2 Each term in Sequence 2 is 48 more than each corresponding term Sequence 1 2. What is the unknown number in Sequence 2? What is the value of the following expression? 40 (3 + 2) x 6 A 10 B 49 C 210 D What is the value of the digit 9 in the number 597,184 A 900 B 9,000 C 90,000 D 900, Which is the best estimate for the sum of and? 6. Terry uses 3 cups of pecans to decorate the tops of 12 pecan pies. She puts an equal amount of pecans on each pie. How many cups of pecans does she put on each pie? A 0 A 9 cups B 1 2 B 4 cups C 1 D 4 C D cup cup
4 OBJ: I can determine a rule for a pattern and find the missing information.
5 On an archaeological dig, Ethan separates his dig site into sections with areas of 15 square feet each. There are 3 archaeological members digging in every section. What is the area of the dig site if 21 members are digging at one time? Possible Rules: Multiply the number of sections by to find the number of members. Multiply the number of members by to find the total area. Complete the table.
6 Scott builds rail fences. For one style of fence, each section uses 3 vertical fence posts and 6 horizontal rails. How many posts and rails does he need for a fence that will be 9 sections long? Possible rule for posts: Possible rule for rails:
7 What if another style of rail fencing has 6 rails between each pair of posts? How many rails are needed for 9 sections of this fence? Possible Rule:
8 Jane works as a limousine driver. She earns $50 for every 2 hours that she works. How much does Jane earn in one week if she works 40 hours per week? Write a rule and complete the table. Possible rule:
9 Jacksen joins a paperback book club. Members pay $8 to buy 2 tokens, and can trade 2 tokens for 4 paperback books. Jacksen buys 30 tokens and trades them for 60 paperback books. How much money does he spend? Write a rule and complete the table. Possible Rule:
10 Which expression could describe the next figure in the pattern, Figure 4? A. 2 x 5 B C D. 16
11 White Boards
12 Find the Rule: Input Output
13 Find the Rule: Input Output
14 What rule can be used to relate the Number of Teams to the Number of Players? A) Add 7 B) Multiply by 8 C) Divide by 8 D) Multiply by 2
15 The table shows how much money Mr. Lieber earns as a golf coach. He charges a flat feet of $38, plus $22 per hour. Complete the table. If Mr. Lieber coaches for 8 hours, how much money will he make? Number of Hours Amount Earned ($)
16 What rule can be used to relate the Number of Players to the Number of Soccer Balls? A) Add 4 B) Multiply by 2 C) Divide by 2 D) Subtract 4
17 Input Output Which rule shows how to get the output from the input? A) Add 5, Multiply by 2 B) Add 10 C) Multiply by 5, Add 2 D) Multiply by 6
18 Landon joins a DVD club. The membership costs $49 per year. Each DVD costs $4. Suppose Landon buys 28 DVDs this year. How much money will he spend on the DVD club?
19 Write a rule and complete the table: Jacob buys 15 T shirts, which are on sale for $3 each. How much money does Jacob spend? Number of T Shirts Amount Spent ($)
3. The price of Mr. Claxton's groceries was $ He used coupons save a total of $2.35. How much of his own money did Mr. Claxton spend?
Name: Date: 1. Rufus bought 6 items at the mall. No item cost more than $5 or less than $2. Which of the following could be the total cost of the 6 items Rufus bought? A. $7 B. $10 C. $22 D. $31 This online
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