ASVAB Math Knowledge Practice Test 26607 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

deconstructing

squaring

factoring

normalizing


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


2

What is 7a - 4a?

78% Answer Correctly
3a
3a2
28a
11a2

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.

7a - 4a = 3a


3

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.


4

Factor y2 + 15y + 56

53% Answer Correctly
(y - 7)(y - 8)
(y + 7)(y + 8)
(y + 7)(y - 8)
(y - 7)(y + 8)

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 56 as well and sum (Inside, Outside) to equal 15. For this problem, those two numbers are 7 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 15y + 56
y2 + (7 + 8)y + (7 x 8)
(y + 7)(y + 8)


5

The dimensions of this trapezoid are a = 5, b = 2, c = 6, d = 9, and h = 3. What is the area?

50% Answer Correctly
16\(\frac{1}{2}\)
14
27\(\frac{1}{2}\)
11

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(2 + 9)(3)
a = ½(11)(3)
a = ½(33) = \( \frac{33}{2} \)
a = 16\(\frac{1}{2}\)