ASVAB Math Knowledge Practice Test 96647 Results

Your Results Global Average
Questions 5 5
Correct 0 4.00
Score 0% 80%

Review

1

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

First

Odd

Inside

Last


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.


2

If a = 7, b = 2, c = 7, and d = 6, what is the perimeter of this quadrilateral?

88% Answer Correctly
23
20
22
17

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 7 + 2 + 7 + 6
p = 22


3

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

2

3

4

5


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


4

If angle a = 28° and angle b = 64° what is the length of angle c?

70% Answer Correctly
117°
88°
73°
86°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 28° - 64° = 88°


5

If the area of this square is 9, what is the length of one of the diagonals?

68% Answer Correctly
3\( \sqrt{2} \)
7\( \sqrt{2} \)
8\( \sqrt{2} \)
5\( \sqrt{2} \)

Solution

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s2

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{9} \) = 3

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c2 = a2 + b2
c2 = 32 + 32
c2 = 18
c = \( \sqrt{18} \) = \( \sqrt{9 x 2} \) = \( \sqrt{9} \) \( \sqrt{2} \)
c = 3\( \sqrt{2} \)