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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:
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?
