ASVAB Math Knowledge Practice Test 884927 Results

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

Review

1

Which of the following expressions contains exactly two terms?

81% Answer Correctly

binomial

monomial

quadratic

polynomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


2

The dimensions of this trapezoid are a = 4, b = 3, c = 6, d = 3, and h = 3. What is the area?

50% Answer Correctly
9
14
35
15

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(3 + 3)(3)
a = ½(6)(3)
a = ½(18) = \( \frac{18}{2} \)
a = 9


3

What is 7a4 - 4a4?

73% Answer Correctly
3a4
28a4
3a8
11a8

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.

7a4 - 4a4 = 3a4


4

Factor y2 + y - 20

53% Answer Correctly
(y + 4)(y + 5)
(y - 4)(y + 5)
(y + 4)(y - 5)
(y - 4)(y - 5)

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 -20 as well and sum (Inside, Outside) to equal 1. For this problem, those two numbers are -4 and 5. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + y - 20
y2 + (-4 + 5)y + (-4 x 5)
(y - 4)(y + 5)


5

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).