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

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<!-- 1. Have the Math Skills II honor. -->
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{{honor_prerequisite|honor=Math Skills II}}
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|honorname=Math Skills III
 
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|skill=3
 
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|year=2012
 
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|category=Health and Science
 
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|authority=South American Division
 
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|insignia=Math Skills III Honor.png
 
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|insignia_source=SAD
 
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==1. Have the Math Skills II honor.== <!--T:2-->
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<!--T:41-->
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<!-- 2. Solve the following operations using the traditional algorithm: -->
  
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==2. Solve the following operations using the traditional algorithm:== <!--T:3-->
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<!--T:43-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=2a}} <!--T:4-->
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===a. 641 + 135=== <!--T:4-->
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<!--T:45-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=2b}} <!--T:5-->
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===b. 845 - 124=== <!--T:5-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=2c}} <!--T:6-->
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===c. 34 x 125=== <!--T:6-->
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===d. 856 ÷ 24=== <!--T:7-->
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<!-- 3. Identify and classify the numerical sets. -->
  
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==3. Identify and classify the numerical sets.== <!--T:8-->
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<!-- 4. Demonstrate the ability to solve the following equations: -->
  
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==4. Demonstrate the ability to solve the following equations:== <!--T:9-->
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===a. 2x - 10 = -4x + 14=== <!--T:10-->
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===b. 18x - 43 = 65=== <!--T:11-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=4c}} <!--T:12-->
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===c. 23x - 16 = 14 - 17x=== <!--T:12-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=4d}} <!--T:13-->
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===d. 10y - 5(1 + y) = 3(2y - 2) - 20=== <!--T:13-->
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<!--T:63-->
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===e. x(x + 4) + x(x + 2) = 2x² + 12=== <!--T:14-->
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===f. (x - 5) / 10 + (1 - 2x) / 5 = (3-x) / 4=== <!--T:15-->
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===g. 4x(x + 6) - x² = 5x²=== <!--T:16-->
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<!-- 5. Demonstrate the ability to solve the following products: -->
  
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==5. Demonstrate the ability to solve the following products:== <!--T:17-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=5a}} <!--T:18-->
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===a. (x + 3y)=== <!--T:18-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=5b}} <!--T:19-->
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===b. (a5 + 2bc)²=== <!--T:19-->
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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=5c}} <!--T:20-->
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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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{{ansreq|page={{#titleparts:{{PAGENAME}}|2|1}}|num=5g}} <!--T:24-->
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===g. (a³ - b³) (a³ + b³)=== <!--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-->
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[[Category:Adventist Youth Honors Answer Book|{{SUBPAGENAME}}]]
 
 
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Latest revision as of 16:04, 14 July 2022

Other languages:
English • ‎español • ‎français • ‎português do Brasil
Math Skills III

Skill Level

3

Year

2012

Version

24.11.2024

Approval authority

South American Division

Math Skills III AY Honor.png
Math Skills III
Health and Science
Skill Level
123
Approval authority
South American Division
Year of Introduction
2012
See also
Math Skills IV
Math Skills IV
Math Skills II


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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