ASVAB Math Knowledge

the factors of 2x^2 + xy - 3y^2 are (2x - 3y)(x + y) (2x + 3y)(x - y) (2x - y)(x + 3y) (2x + y)(x - 3y)

(2x + 3y)(x - y)

What is 8b - ab+ 7a subtracted from 3a - 9ab + b? (3a-9a+b)- (7a-ab+8b) = -4a-8ab-7b (3a-8a+b)- (7a-ab+2b) = -4a-8ab-7b (5a-9a+b)- (7a-7ab+8b) = -4a+8ab-7b (3a-9a+b)- (7a-ab+2b) = -4a-8ab+5b

(3a-9a+b)- (7a-ab+8b) = -4a-8ab-7b

What are the factors of x^2 +4x +3? (x + 3)(x + 1) (x -3)(x - 1) (x + 3)(x - 1) (x - 3)(x + 1)

(x + 3)(x + 1)

Which of the following is NOT a prime number? 5 3 2 1

1

What is the circumference of a circle whose diameter is 10? 20 bi 10 bi 30 bi 23 bi

10 bi

If A = 6 and B = 5, what is the value of (A^2 - B^2)^2? 121 236 562 526

121

What is the area of a triangle with a base of 8 feet and a height of 4 feet? 26 16 36 96

16 square feet

What is the product of (a - 1) and (2a + 2) ? 2(a^2 - 1) 1(a^2 - 2) 2(a^1 - 2) 1(a^2 - 1)

2(a^2 - 1)

What is the product of the reciprocals of 2/3 , 1/8 , and 5? 2-2/5 5-2/5 5-5/2 2-5/2

2-2/5

The reciprocal of 3-1/5 is? 16/5 5/16 2/6 5/62

3-1/5 is 16/5. Up side down: 5/16

The product of 3! is ? 9 6 3 0

6

Simplify: 3/5x + x 8/5x 5/8x 3/8x 6/7x

8/5x

In the formula C=5/9(F - 32), if C= 35, then F = ? 95 65 23 85

95

The coordinates of points A and B are (2,4) and (-2,-4) respectively. What is the slope of the line that connects the two points? 2 3 5 6

Slope= (y1-y2)/ (x1-x2)= [4-(-4)]/ [2-(-2)]= 2

The perimeter of a square and a rectangle is the same. If a length of the rectangle is 20 cm and the breath is 12 cm, find the area of the square. 153 cm 563 cm 865 cm 256 cm

We have given that, Perimeter of the square = perimeter of the rectangle Let L and B are the length and breadth of rectangle ⇒4×sides=2×(length+breadth) ⇒4× sides= 2×(20+12) ⇒4× sides= 64 cm ⇒ Side of Square= 16 cm Area of the Square: ⇒ Side^2 = 16 ^2= 16* 16= 256 cm

The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. Which equation can be used to find the length of the remaining side? x^2 = 14^2 - 9 ^2 x^2 = 14^3 - 8 ^2 x^2 = 14^5 - 2 ^2 x^2 = 14^5 - 7 ^ 2

x^2 = 14^2 - 9 ^ 2 In right angled triangle Pythagoras theorem can be used to find the length of one side if two sides are given as Hypotenuse ^2= (one side) ^2 + (ones side) ^2 14 ^2= ( one side) ^2 + 9 ^2 => (one side) ^2 = 14 ^ 2 - 9 ^ 2

Graphs of the following equations are straight lines EXCEPT? A. 3x+2y=8 B. y=x/2-5 C. x=4y D. y=x^2+3

y = x^2 +3