ASVAB Math Knowledge Practice Test 71337 Results

Your Results Global Average
Questions 5 5
Correct 0 2.96
Score 0% 59%

Review

1

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

right angle

parallel

equal length

equal angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


2

If the base of this triangle is 8 and the height is 2, what is the area?

59% Answer Correctly
25
36
71\(\frac{1}{2}\)
8

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 8 x 2 = \( \frac{16}{2} \) = 8


3

Factor y2 - 10y + 16

54% Answer Correctly
(y - 8)(y + 2)
(y + 8)(y - 2)
(y + 8)(y + 2)
(y - 8)(y - 2)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 16 as well and sum (Inside, Outside) to equal -10. For this problem, those two numbers are -8 and -2. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 10y + 16
y2 + (-8 - 2)y + (-8 x -2)
(y - 8)(y - 2)


4

Solve for x:
-2x - 1 = 3 - x

59% Answer Correctly
-4
-4\(\frac{1}{2}\)
1
3

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-2x - 1 = 3 - x
-2x = 3 - x + 1
-2x + x = 3 + 1
-x = 4
x = \( \frac{4}{-1} \)
x = -4


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, isosceles and right

equilateral 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.