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

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< AY Honors‎ | Math Skills IIIAY Honors/Math Skills III/Answer Key
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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. -->
 
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Revision as of 15:25, 8 March 2021

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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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