Weight and Area Calculations

The video tutorial covers various algebraic problems, including calculating the total weight of a bus load, determining the perimeter and area of rectangles, calculating the height of a rocket using a quadratic equation, and finding the total load of a truck. It also includes a problem on calculating the perimeter and area of a horse farm. Each problem is solved step-by-step, demonstrating the application of algebraic formulas and equations.

If a bus carries 40 passengers, a driver, and a conductor, each weighing x kg, and luggage weighing 4x - 17 kg, what is the total weight in terms of x?

• 48x - 17 kg

• 44x - 17 kg

• 42x - 17 kg

• 46x - 17 kg

What is the total weight of the bus load if x equals 48 kg?

• 2191 kg

• 2175 kg

• 2200 kg

• 2180 kg

How do you express the perimeter of a rectangle with length 2x + 5 and width 3y - 2 in terms of x and y?

• 3x + 7y + 7

• 6x + 4y + 4

• 5x + 5y + 5

• 4x + 6y + 6

What is the area of a rectangle with length 2x + 5 and width 3y - 2 in terms of x and y?

• 7xy - 5x + 16y - 11

• 5xy - 3x + 14y - 9

• 8xy - 6x + 17y - 12

• 6xy - 4x + 15y - 10

What is the height of a rocket after 6 seconds if its height is given by H = 5t^2 - 2t?

• 172 m

• 165 m

• 170 m

• 168 m

If a truck carries rice weighing x tons and beans weighing 2x - 2 tons, what is the total weight in terms of x?

• 5x - 2 tons

• 3x - 2 tons

• 2x - 2 tons

• 4x - 2 tons

What is the total weight of the truck's cargo if x equals 3 tons?

• 7 tons

• 8 tons

• 9 tons

• 6 tons

How do you express the perimeter of a horse farm with length 3x + 2 and width 2x - 1 in terms of x?

• 11x + 1

• 9x + 3

• 8x + 4

• 10x + 2

What is the area of a horse farm with length 3x + 2 and width 2x - 1 in terms of x?

• 8x^2 + 4x - 2

• 7x^2 + 3x - 1

• 5x^2 + 2x - 3

• 6x^2 + x - 2

What is the perimeter of the horse farm if x equals 8?

• 82 meters

• 80 meters

• 84 meters

• 86 meters