ASVAB Math Knowledge Practice Test 352931 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

obtuse, acute

vertical, supplementary

acute, obtuse

supplementary, vertical


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


2

The dimensions of this cube are height (h) = 3, length (l) = 9, and width (w) = 6. What is the surface area?

51% Answer Correctly
142
198
46
94

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 9 x 6) + (2 x 6 x 3) + (2 x 9 x 3)
sa = (108) + (36) + (54)
sa = 198


3

If a = c = 3, b = d = 7, what is the area of this rectangle?

79% Answer Correctly
28
21
24
15

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 3 x 7
a = 21


4

Simplify 3a x 2b.

85% Answer Correctly
6ab
6\( \frac{b}{a} \)
5ab
6a2b2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

3a x 2b = (3 x 2) (a x b) = 6ab


5

Factor y2 - 9

53% Answer Correctly
(y - 3)(y + 3)
(y - 3)(y - 3)
(y + 3)(y - 3)
(y + 3)(y + 3)

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 -9 as well and sum (Inside, Outside) to equal 0. For this problem, those two numbers are -3 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 9
y2 + (-3 + 3)y + (-3 x 3)
(y - 3)(y + 3)