ASVAB Math Knowledge Practice Test 537068 Results

Your Results Global Average
Questions 5 5
Correct 0 3.23
Score 0% 65%

Review

1

Solve for a:
a2 + 3a - 40 = 0

58% Answer Correctly
8 or -4
-2 or -9
5 or -8
-7 or -7

Solution

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

a2 + 3a - 40 = 0
(a - 5)(a + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 5) or (a + 8) must equal zero:

If (a - 5) = 0, a must equal 5
If (a + 8) = 0, a must equal -8

So the solution is that a = 5 or -8


2

If AD = 14 and BD = 4, AB = ?

76% Answer Correctly
8
10
15
6

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 14 - 4
AB = 10


3

The dimensions of this cube are height (h) = 9, length (l) = 3, and width (w) = 8. What is the volume?

83% Answer Correctly
216
15
189
40

Solution

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

v = h x l x w
v = 9 x 3 x 8
v = 216


4

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

52% Answer Correctly

trapezoid

quadrilateral

rhombus

triangle


Solution

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


5

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral and right

equilateral and isosceles

isosceles and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.