Difference between revisions of "AY Honors/Math Skills III/Answer Key"

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==1. Have the Math Skills II honor.== <!--T:2-->
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<!-- 1. Have the Math Skills II honor. -->
 
{{honor_prerequisite|category=Health and Science|honor=Math Skills II}}
 
{{honor_prerequisite|category=Health and Science|honor=Math Skills II}}
  
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==2. Solve the following operations using the traditional algorithm:== <!--T:3-->
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<!-- 2. Solve the following operations using the traditional algorithm: -->
  
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===a. 641 + 135=== <!--T:4-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=2a}} <!--T:4-->
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===b. 845 - 124=== <!--T:5-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=2b}} <!--T:5-->
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===c. 34 x 125=== <!--T:6-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=2c}} <!--T:6-->
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===d. 856 ÷ 24=== <!--T:7-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=2d}} <!--T:7-->
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==3. Identify and classify the numerical sets.== <!--T:8-->
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<!-- 3. Identify and classify the numerical sets. -->
  
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==4. Demonstrate the ability to solve the following equations:== <!--T:9-->
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<!-- 4. Demonstrate the ability to solve the following equations: -->
  
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===a. 2x - 10 = -4x + 14=== <!--T:10-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=4a}} <!--T:10-->
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===b. 18x - 43 = 65=== <!--T:11-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=4b}} <!--T:11-->
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===c. 23x - 16 = 14 - 17x=== <!--T:12-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=4c}} <!--T:12-->
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===d. 10y - 5(1 + y) = 3(2y - 2) - 20=== <!--T:13-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=4d}} <!--T:13-->
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===e. x(x + 4) + x(x + 2) = 2x² + 12=== <!--T:14-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=4e}} <!--T:14-->
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===f. (x - 5) / 10 + (1 - 2x) / 5 = (3-x) / 4=== <!--T:15-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=4f}} <!--T:15-->
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===g. 4x(x + 6) - x² = 5x²=== <!--T:16-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=4g}} <!--T:16-->
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==5. Demonstrate the ability to solve the following products:== <!--T:17-->
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<!-- 5. Demonstrate the ability to solve the following products: -->
  
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===a. (x + 3y)=== <!--T:18-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=5a}} <!--T:18-->
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===b. (a5 + 2bc)²=== <!--T:19-->
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===c. (3x + y²)²=== <!--T:20-->
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===d. (1 + 5m)(1 - 5m)=== <!--T:21-->
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===e. (ab - c)²=== <!--T:22-->
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===f. (m - 1)³=== <!--T:23-->
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===g. (a³ - b³) (a³ + b³)=== <!--T:24-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=5g}} <!--T:24-->
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==6. Calculate the area of ​​the following figures:== <!--T:25-->
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<!-- 6. Calculate the area of ​​the following figures: -->
  
 
<!--T:26-->
 
<!--T:26-->
 
[[File:Math Skills III figures.png|700px]]
 
[[File:Math Skills III figures.png|700px]]
  
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==7. In the [[Adventist_Youth_Honors_Answer_Book/Recreation/Orienteering|Orienteering]] honor, the Pathfinder must have knowledge of angles to know how to use cartographic charts and to use a compass. Demonstrate the ability to convert angles to minutes, minutes to seconds, showing three practical examples.== <!--T:27-->
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<!-- 7. In the [[Adventist_Youth_Honors_Answer_Book/Recreation/Orienteering|Orienteering]] honor, the Pathfinder must have knowledge of angles to know how to use cartographic charts and to use a compass. Demonstrate the ability to convert angles to minutes, minutes to seconds, showing three practical examples. -->
  
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==8. In the [[Adventist_Youth_Honors_Answer_Book/Recreation/Pioneering|Pioneering]] honor, we learned to build camp furniture, which has a whole mathematical relationship. Design and present some camp furniture where geometric shapes appear and classify each one. Cite three examples.== <!--T:28-->
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<!-- 8. In the [[Adventist_Youth_Honors_Answer_Book/Recreation/Pioneering|Pioneering]] honor, we learned to build camp furniture, which has a whole mathematical relationship. Design and present some camp furniture where geometric shapes appear and classify each one. Cite three examples. -->
  
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==9. Present a poster showing ten practical examples of geometric figures used in a daily routine. It can be as cutouts, photos or design.== <!--T:29-->
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<!-- 9. Present a poster showing ten practical examples of geometric figures used in a daily routine. It can be as cutouts, photos or design. -->
  
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==10. Demonstrate the ability to solve the following proportion problems:== <!--T:30-->
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<!-- 10. Demonstrate the ability to solve the following proportion problems: -->
  
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===a. At 60 km/h I travel between two cities in two hours. Traveling at 80 km/h, what is the estimated time to travel this route?=== <!--T:31-->
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===b. At an average of 90 km/h, I can make a journey in three hours. To make this journey in just two hours, what should my average speed be?=== <!--T:32-->
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===c. If 20 men working for 20 days build 500 meters of a wall, how many men will it take to build 1000 meters more of this wall in 30 days?=== <!--T:33-->
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==11. Demonstrate the ability to solve problem situations involving equations:== <!--T:34-->
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<!-- 11. Demonstrate the ability to solve problem situations involving equations: -->
  
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===a. I have the following choice: I buy 20 units of a product with all the money I have, or buy only 14 units of a project with all the money I have, or buy only 14 units and I still have $15.00 in change. What is the unit value of this product?=== <!--T:35-->
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===b. What is the root of the equation 7x - 2 = -4x + 5?=== <!--T:36-->
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===c. If I add 8 to the amount of toy cars I own, I will have the same amount of cars as my brother if, of the 28 that he owns, the amount that I own is subtracted. How many toy cars do I have?=== <!--T:37-->
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==References== <!--T:38-->
 
==References== <!--T:38-->
 
[[Category:Adventist Youth Honors Answer Book|{{SUBPAGENAME}}]]
 
[[Category:Adventist Youth Honors Answer Book|{{SUBPAGENAME}}]]
 
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Revision as of 04:47, 25 December 2020

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Template:Honor desc



1

Have the Math Skills II honor.


For tips and instruction see Math Skills II.


2

Solve the following operations using the traditional algorithm:



2a

641 + 135



2b

845 - 124



2c

34 x 125



2d

856 ÷ 24




3

Identify and classify the numerical sets.



4

Demonstrate the ability to solve the following equations:



4a

2x - 10 = -4x + 14



4b

18x - 43 = 65



4c

23x - 16 = 14 - 17x



4d

10y - 5(1 + y) = 3(2y - 2) - 20



4e

x(x + 4) + x(x + 2) = 2x² + 12



4f

(x - 5) / 10 + (1 - 2x) / 5 = (3-x) / 4



4g

4x(x + 6) - x² = 5x²




5

Demonstrate the ability to solve the following products:



5a

(x + 3y)²



5b

(a5 + 2bc)²



5c

(3x + y²)²



5d

(1 + 5m)(1 - 5m)



5e

(ab - c)²



5f

(m - 1)³



5g

(a³ - b³) (a³ + b³)




6

Calculate the area of ​​the following figures:

Math Skills III figures.png


Math Skills III figures.png


7

In the Orienteering honor, the Pathfinder must have knowledge of angles to know how to use cartographic charts and to use a compass. Demonstrate the ability to convert angles to minutes, minutes to seconds, showing three practical examples.



8

In the Pioneering honor, we learned to build camp furniture, which has a whole mathematical relationship. Design and present some camp furniture where geometric shapes appear and classify each one. Cite three examples.



9

Present a poster showing ten practical examples of geometric figures used in a daily routine. It can be as cutouts, photos or design.



10

Demonstrate the ability to solve the following proportion problems:



10a

At 60 km/h I travel between two cities in two hours. Traveling at 80 km/h, what is the estimated time to travel this route?



10b

At an average of 90 km/h, I can make a journey in three hours. To make this journey in just two hours, what should my average speed be?



10c

If 20 men working for 20 days build 500 meters of a wall, how many men will it take to build 1000 meters more of this wall in 30 days?




11

Demonstrate the ability to solve problem situations involving equations:



11a

I have the following choice: I buy 20 units of a product with all the money I have, or buy only 14 units of a project with all the money I have, or buy only 14 units and I still have $15.00 in change. What is the unit value of this product?



11b

What is the root of the equation 7x - 2 = -4x + 5?



11c

If I add 8 to the amount of toy cars I own, I will have the same amount of cars as my brother if, of the 28 that he owns, the amount that I own is subtracted. How many toy cars do I have?





References


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