ASVAB Math Knowledge Practice Test 45684 Results

Your Results Global Average
Questions 5 5
Correct 0 3.10
Score 0% 62%

Review

1

Solve for b:
b2 - 16b + 63 = 0

58% Answer Correctly
-2 or -8
6 or 3
5 or -7
7 or 9
Solution

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

b2 - 16b + 63 = 0
(b - 7)(b - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 7) or (b - 9) must equal zero:

If (b - 7) = 0, b must equal 7
If (b - 9) = 0, b must equal 9

So the solution is that b = 7 or 9

2

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

normalizing

deconstructing

factoring

squaring
Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

3

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

47% Answer Correctly

a2 - c2

c2 + a2

c2 - a2

c - a
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, \(c = \sqrt{a + b}\)

4

If BD = 21 and AD = 27, AB = ?

75% Answer Correctly
2
13
6
1
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 = 27 - 21
AB = 6

5

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

54% Answer Correctly

isosceles and right

equilateral and isosceles

equilateral 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.