ASVAB Math Knowledge Practice Test 283340 Results

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

Review

1

Factor y2 + 2y - 3

54% Answer Correctly
(y - 1)(y + 3)
(y + 1)(y + 3)
(y - 1)(y - 3)
(y + 1)(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 -3 as well and sum (Inside, Outside) to equal 2. For this problem, those two numbers are -1 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 2y - 3
y2 + (-1 + 3)y + (-1 x 3)
(y - 1)(y + 3)


2

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.


3

What is 5a5 + 2a5?

76% Answer Correctly
7a5
10a10
a510
3a10

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.

5a5 + 2a5 = 7a5


4

If the length of AB equals the length of BD, point B __________ this line segment.

46% Answer Correctly

bisects

trisects

midpoints

intersects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


5

Simplify (8a)(3ab) + (3a2)(8b).

66% Answer Correctly
121ab2
48a2b
2b
b2

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.

(8a)(3ab) + (3a2)(8b)
(8 x 3)(a x a x b) + (3 x 8)(a2 x b)
(24)(a1+1 x b) + (24)(a2b)
24a2b + 24a2b
48a2b