ASVAB Math Knowledge Practice Test 269010 Results

Your Results Global Average
Questions 5 5
Correct 0 3.01
Score 0% 60%

Review

1

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

trapezoid

quadrilateral

triangle

rhombus


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


2

Solve for y:
y2 + 12y + 35 = 0

58% Answer Correctly
7 or 6
-5 or -7
5 or -6
-3 or -8

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

y2 + 12y + 35 = 0
(y + 5)(y + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 5) or (y + 7) must equal zero:

If (y + 5) = 0, y must equal -5
If (y + 7) = 0, y must equal -7

So the solution is that y = -5 or -7


3

The dimensions of this cube are height (h) = 9, length (l) = 6, and width (w) = 7. What is the volume?

83% Answer Correctly
378
504
150
243

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 9 x 6 x 7
v = 378


4

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

a2 - c2

c - a

c2 - a2

c2 + a2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


5

Simplify (y - 7)(y + 2)

63% Answer Correctly
y2 + 5y - 14
y2 + 9y + 14
y2 - 5y - 14
y2 - 9y + 14

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 7)(y + 2)
(y x y) + (y x 2) + (-7 x y) + (-7 x 2)
y2 + 2y - 7y - 14
y2 - 5y - 14