ASVAB Math Knowledge Practice Test 311202 Results

Your Results Global Average
Questions 5 5
Correct 0 3.36
Score 0% 67%

Review

1

Factor y2 - 7y - 18

53% Answer Correctly
(y - 9)(y - 2)
(y - 9)(y + 2)
(y + 9)(y - 2)
(y + 9)(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 -18 as well and sum (Inside, Outside) to equal -7. For this problem, those two numbers are -9 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 7y - 18
y2 + (-9 + 2)y + (-9 x 2)
(y - 9)(y + 2)


2

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

74% Answer Correctly

squaring

deconstructing

factoring

normalizing


Solution

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


3

Which of the following expressions contains exactly two terms?

81% Answer Correctly

quadratic

polynomial

binomial

monomial


Solution

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


4

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

expression

problem

formula

equation


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.


5

The dimensions of this cylinder are height (h) = 9 and radius (r) = 1. What is the surface area?

48% Answer Correctly
54π
24π
20π
144π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 9)
sa = 2π(1) + 2π(9)
sa = (2 x 1)π + (2 x 9)π
sa = 2π + 18π
sa = 20π