AFOQT math section Exam Toolkit with Verified
Solutions for Navigation Concepts, Aviation Info,
Verbal Skills & Quantitative Reasoning
If x = 4 and y = 2, what is the value of the following expression: 3xy - 12y +
5x
A. -4
B. 10
C. 12
D. 20
E. 24 - correct answer d: to find the value of this expression, substitute the
given values for x and y into the expression: 3(4)(2) - 12(2) + 5(4)
Then, calculate the value of the expression:
3*8 - 12*2 + 5*4
24 - 24 + 20
20
If 0.65x + 10 = 15, what is the value of x?
A. 4.92
B. 5.78
C. 6.45
D. 7.69
E. 8.12 - correct answer d: first, subtract 10 from both sides to isolate x:
0.65x + 10 - 10 = 15 - 10
, 0.65x = 5
Then, divide both sides by 0.65 to solve for x:
0.65x/0.65 = 5/0.65
X = 7.69
Simplify the following: (3x + 5) (4x - 6)
A. 12x2 -38x -30
B. 12x2 + 2x -30
C. 12x2 -2x -1
D. 12x2 +2x + 30
E. 12x2 + 7x - 30 - correct answer b: use the foil method (first, outside,
inside, and last) to get rid of the brackets:
12x2 -18x + 20x -30
Then, combine like terms to simplify the expression:
12x2 -18x + 20x -30
12x2 + 2x -30
Simplify the following expression: 50x^18t^6w^3z^20/5x^5t^2w^2z^19
A. 10x13t3wz
B. 10x13t4wz
C. 10x12t4wz
D. 10x13t4wz2
E. 10x12t3w2z2 - correct answer b: to simplify this expression, it is
necessary to follow the law of exponents that states: xn/xm = xn-m
Solutions for Navigation Concepts, Aviation Info,
Verbal Skills & Quantitative Reasoning
If x = 4 and y = 2, what is the value of the following expression: 3xy - 12y +
5x
A. -4
B. 10
C. 12
D. 20
E. 24 - correct answer d: to find the value of this expression, substitute the
given values for x and y into the expression: 3(4)(2) - 12(2) + 5(4)
Then, calculate the value of the expression:
3*8 - 12*2 + 5*4
24 - 24 + 20
20
If 0.65x + 10 = 15, what is the value of x?
A. 4.92
B. 5.78
C. 6.45
D. 7.69
E. 8.12 - correct answer d: first, subtract 10 from both sides to isolate x:
0.65x + 10 - 10 = 15 - 10
, 0.65x = 5
Then, divide both sides by 0.65 to solve for x:
0.65x/0.65 = 5/0.65
X = 7.69
Simplify the following: (3x + 5) (4x - 6)
A. 12x2 -38x -30
B. 12x2 + 2x -30
C. 12x2 -2x -1
D. 12x2 +2x + 30
E. 12x2 + 7x - 30 - correct answer b: use the foil method (first, outside,
inside, and last) to get rid of the brackets:
12x2 -18x + 20x -30
Then, combine like terms to simplify the expression:
12x2 -18x + 20x -30
12x2 + 2x -30
Simplify the following expression: 50x^18t^6w^3z^20/5x^5t^2w^2z^19
A. 10x13t3wz
B. 10x13t4wz
C. 10x12t4wz
D. 10x13t4wz2
E. 10x12t3w2z2 - correct answer b: to simplify this expression, it is
necessary to follow the law of exponents that states: xn/xm = xn-m
