ASVAB Math Knowledge Practice Test 391964 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

What is 6a - 5a?

78% Answer Correctly
1
30a
30a2
1a

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

6a - 5a = 1a


2

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

47% Answer Correctly

c2 + a2

a2 - c2

c - a

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


3

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

right, acute, obtuse

right, obtuse, acute

acute, obtuse, right

acute, right, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


4

If the area of this square is 4, what is the length of one of the diagonals?

68% Answer Correctly
4\( \sqrt{2} \)
9\( \sqrt{2} \)
2\( \sqrt{2} \)
8\( \sqrt{2} \)

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 = \( \sqrt{a} \) = \( \sqrt{4} \) = 2

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 = 22 + 22
c2 = 8
c = \( \sqrt{8} \) = \( \sqrt{4 x 2} \) = \( \sqrt{4} \) \( \sqrt{2} \)
c = 2\( \sqrt{2} \)


5

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

53% Answer Correctly

equilateral, isosceles and right

isosceles and right

equilateral and right

equilateral and isosceles


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.