Unit 3 Lesson 10 - Patterns and Rules Unit Test
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1. Write a rule for the sequence 5, -4, -13, -22...
A. Start with -9 and add 5 repeatedly
B. Start with 9 and add 5 repeatedly
C. Start with 5 and subtract -9 repeatedly
D. Start 5 and add -9 repeatedly
2. Find the nest three terms of the sequence -4, -8, -16, -32...
A. -96, -288, -864
B. -64, -128, -256
C. -64, -288, -256
D. -36, -40, -44
3. What is the 9th term in the following sequence 11, 17, 23, 29?
A. 47
B. 53
C. 59
D. 65
4. Which explains why the sequence 64, 4, 1/4,..is arithmetic or geometric?
A. The sequence is geometric because it decreases by a factor of 1/16
B. The sequence is arithmetic because it decreases by a factor of 1/16
C. The sequence is geometric because it decreases by a factor of 4.
D. The sequence is arithmetic because it decreases by a factor of 4.
5. Find the value of the variables in the table.
-look at your table as I can't show a pic of the table-
A. m = 13, n = 0
B. m = 11, n = 0
C. m = 15, n = 3
D m = 13, n = 3
6. Write an expression to describe a rule for the sequence. Then find the 100th term in the sequence 4, 9, 14, 19, 24, 29,...
A. 4 + 5n; 504
B. 5n - 1; 499
C. 5n; 500
D. 4n + 5; 405
7. The cost for a business to make greeting cards can be divided into one-time costs (e.g., a printing machine) and repeated costs (e.g., ink and paper). Suppose the total cost to make 500 cards is $1,100, and the total cost to make 650 cards is $1,400. What is the total cost to make 1,000 cards? Round your answer to the nearest dollar.
A. $2,000
B. $2,100
C. $2,250
D. $2,300
8. Which graph below shows the rule: output = 4 times input
A. This answer is a graph so look at your own
B. This answer is a graph so look at your own
C. This answer is a graph so look at your own
D. This answer is a graph so look at your own
9. The time between a lightning flash and the following thunderclap may be used to estimate, in kilometers, how far away a storm is. How far away is a storm if 12 seconds elapse between the lightning and the thunderclap?
Use the formula d = t/3, is the time, in seconds, between the flash and the thunderclap.
A. 4 kilometers
B. 5 kilometers
C. 15 kilometers
D. 36 kilometers
10. Write a rule for the function represented by the table.
0-14
1-29
2-44
3-59
A. y = 15 + 14x
B. y = 14 + 15x
C. y = 12 + 17x
D. y = 17 + 12x
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These question require a lot of typing and inspect element so I got the first 10/21. If someone wants to finish the questions that would be great! if no one does then I will, but it might take a while due to other thing. Have a great day!
do you know the answers by any chance ??
1. A. Start with -9 and add 5 repeatedly
2. B. -64, -128, -256
3. B. 53
4. A. The sequence is geometric because it decreases by a factor of 1/16
5. C. m = 15, n = 3
6. A. 4 + 5n; 504
7. B. $2,100
8. A. This answer is a graph so look at your own
9. C. 15 kilometers
10. A. y = 15 + 14x
1. A. Start with -9 and add 5 repeatedly
2. B. -64, -128, -256
3. B. 53
4. A. The sequence is geometric because it decreases by a factor of 1/16
5. D. m = 13, n = 3
6. A. 4 + 5n; 504
7. C. $2,250
8. A. This answer is a graph so look at your own
9. B. 5 kilometers
10. B. y = 14 + 15x
Sure! I can help you with the first 10 questions. Let's break them down one by one:
1. Write a rule for the sequence 5, -4, -13, -22...
To find the rule for this sequence, we need to identify the pattern. The pattern here is that each term is decreasing by 9. So the rule would be: Start with 5 and subtract 9 repeatedly. Therefore, the correct answer is C. Start with 5 and subtract -9 repeatedly.
2. Find the next three terms of the sequence -4, -8, -16, -32...
To find the next terms of the sequence, we need to identify the pattern. The pattern here is that each term is being multiplied by -2. So the next three terms would be: -64, -128, -256. Therefore, the correct answer is B. -64, -128, -256.
3. What is the 9th term in the following sequence 11, 17, 23, 29?
To find the 9th term of the sequence, we need to identify the pattern. The pattern here is that each term is increasing by 6. So to find the 9th term, we can start with the first term (11) and add 6 eight times (since we already have the first term). 11 + (6 * 8) = 11 + 48 = 59. Therefore, the correct answer is C. 59.
4. Which explains why the sequence 64, 4, 1/4,... is arithmetic or geometric?
To determine if the sequence is arithmetic or geometric, we need to look at the relationship between the terms. In this case, each term is being divided by 16 (or multiplied by 1/16). Therefore, the sequence is geometric because it decreases by a factor of 1/16. Therefore, the correct answer is A. The sequence is geometric because it decreases by a factor of 1/16.
5. Find the value of the variables in the table.
Since we don't have the table provided, I can't give you the exact values for m and n. You'll need to refer to the table and match the values in the table to the options provided (A, B, C, D).
6. Write an expression to describe a rule for the sequence. Then find the 100th term in the sequence 4, 9, 14, 19, 24, 29...
To find the expression for the rule of the sequence, we need to identify the pattern. In this case, each term is increasing by 5. So the expression for the rule would be: 4 + 5n. To find the 100th term, we need to substitute n with 99 (since the first term corresponds to n = 0). 4 + 5 * 99 = 4 + 495 = 499. Therefore, the correct answer is B. 5n - 1; 499.
7. The cost for a business to make greeting cards can be divided into one-time costs and repeated costs. We are given the total cost to make 500 cards and the total cost to make 650 cards. To find the total cost to make 1,000 cards, we can first calculate the cost per card for both scenarios. The cost per card for making 500 cards is 1100/500 = $2.20. The cost per card for making 650 cards is 1400/650 = $2.15. Since the repeated costs are constant per card, we can assume they remain the same. Therefore, the total cost to make 1,000 cards would be 1000 * $2.15 = $2,150. Rounded to the nearest dollar, the correct answer is B. $2,100.
8. Which graph below shows the rule: output = 4 times input
Since you mentioned that the answer choices are graphs, I am unable to see the graphs. You'll need to refer to the graphs provided and choose the one that represents the rule: output = 4 times input.
9. The time between a lightning flash and the following thunderclap can be used to estimate the distance of a storm. We are given the formula: d = t/3, where d is the distance in kilometers and t is the time in seconds. We are asked to find the distance of a storm if 12 seconds elapse between the lightning and the thunderclap. We can simply substitute t = 12 into the formula: d = 12/3 = 4 kilometers. Therefore, the correct answer is A. 4 kilometers.
10. Write a rule for the function represented by the table.
Based on the values given in the table, we can determine the rule by observing the relationship between the input (x) and output (y) values. In this case, the output (y) is increasing by 15 each time the input (x) is increasing by 1. So the rule would be: y = 15 + 14x. Therefore, the correct answer is A. y = 15 + 14x.
I hope this helps! Let me know if you have any further questions.