AFQT Mathematics Knowledge 1 — Questions and Answers
Question 1: Simplify the expression: 5x+7x.
- 12 𝑥 2
- 12x (Correct answer)
- 2x
- 35x
Correct answer: 12x
This is an algebraic expression involving like terms. To simplify, combine the coefficients of the 'x' terms while keeping the variable the same. So, 5x + 7x = (5+7)x = 12x.
Question 2: What is the area of a rectangle with a length of 8 meters and a width of 5 meters?
- 13 square meters
- 20 square meters
- 40 square meters (Correct answer)
- 80 square meters
Correct answer: 40 square meters
The area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 8 meters and the width is 5 meters. Therefore, the area is 8 meters * 5 meters = 40 square meters.
Question 3: Solve for x: 3x−7=11.
- x=2
- x=4
- x=6 (Correct answer)
- x=8
Correct answer: x=6
To solve for x, first add 7 to both sides of the equation: 3x - 7 + 7 = 11 + 7, which simplifies to 3x = 18. Next, divide both sides by 3: 3x / 3 = 18 / 3, which results in x = 6.
Question 4: If 𝑎2=64, what is 𝑎?
- 4
- -8
- 8
- Both -8 & 8 (Correct answer)
Correct answer: Both -8 & 8
The equation a² = 64 asks for a number that, when multiplied by itself, equals 64. Both 8 * 8 = 64 and (-8) * (-8) = 64 satisfy this condition. Therefore, 'a' can be either 8 or -8, as both positive and negative values, when squared, yield a positive result.
Question 5: A triangle has a base of 10 cm and a height of 12 cm. What is its area?
- 60 square cm (Correct answer)
- 70 square cm
- 100 square cm
- 120 square cm
Correct answer: 60 square cm
The area of a triangle is calculated using the formula A = (1/2) * base * height. By substituting the given values, (1/2) * 10 cm * 12 cm, we get 60 square cm. This formula accounts for the fact that a triangle is essentially half of a rectangle or parallelogram with the same base and height.
AFQT Mathematics Knowledge 1
Simplify the expression: 5x+7x.