ASVAB Math Knowledge Practice Test 414999 Results

Your Results Global Average
Questions 5 5
Correct 0 3.68
Score 0% 74%

Review

1

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

2

3

5

4


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


2

Simplify (8a)(8ab) - (2a2)(5b).

62% Answer Correctly
-54ab2
54a2b
112a2b
74a2b

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)(8ab) - (2a2)(5b)
(8 x 8)(a x a x b) - (2 x 5)(a2 x b)
(64)(a1+1 x b) - (10)(a2b)
64a2b - 10a2b
54a2b


3

On this circle, line segment AB is the:

71% Answer Correctly

chord

circumference

radius

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


4

What is 4a - 8a?

80% Answer Correctly
-4a2
-4
-4a
32a

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.

4a - 8a = -4a


5

If side a = 4, side b = 9, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{113} \)
\( \sqrt{18} \)
\( \sqrt{97} \)
\( \sqrt{80} \)

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 + 92
c2 = 16 + 81
c2 = 97
c = \( \sqrt{97} \)