ASVAB Math Knowledge Practice Test 180172 Results

Your Results Global Average
Questions 5 5
Correct 0 3.27
Score 0% 65%

Review

1

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

isosceles and right

equilateral and right

equilateral, isosceles and right

equilateral and isosceles


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.


2

Simplify (9a)(3ab) + (6a2)(8b).

65% Answer Correctly
168ab2
-21ab2
75a2b
168a2b

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.

(9a)(3ab) + (6a2)(8b)
(9 x 3)(a x a x b) + (6 x 8)(a2 x b)
(27)(a1+1 x b) + (48)(a2b)
27a2b + 48a2b
75a2b


3

Simplify (y - 9)(y + 1)

64% Answer Correctly
y2 - 10y + 9
y2 + 8y - 9
y2 - 8y - 9
y2 + 10y + 9

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 9)(y + 1)
(y x y) + (y x 1) + (-9 x y) + (-9 x 1)
y2 + y - 9y - 9
y2 - 8y - 9


4

If side a = 4, side b = 8, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{130} \)
\( \sqrt{41} \)
\( \sqrt{80} \)
\( \sqrt{2} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 42 + 82
c2 = 16 + 64
c2 = 80
c = \( \sqrt{80} \)


5

What is 3a - 3a?

80% Answer Correctly
0
0a
a2
9a

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.

3a - 3a = 0a