ASVAB Math Knowledge Practice Test 375819 Results

Your Results Global Average
Questions 5 5
Correct 0 3.15
Score 0% 63%

Review

1

Simplify (7a)(5ab) - (9a2)(4b).

62% Answer Correctly
-1a2b
ab2
156a2b
-a2b

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.

(7a)(5ab) - (9a2)(4b)
(7 x 5)(a x a x b) - (9 x 4)(a2 x b)
(35)(a1+1 x b) - (36)(a2b)
35a2b - 36a2b
-1a2b


2

On this circle, line segment AB is the:

70% Answer Correctly

circumference

chord

diameter

radius


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).


3

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

parallel

right angle

equal length

equal angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


4

The dimensions of this trapezoid are a = 6, b = 5, c = 7, d = 9, and h = 5. What is the area?

51% Answer Correctly
35
16
8
18

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(5 + 9)(5)
a = ½(14)(5)
a = ½(70) = \( \frac{70}{2} \)
a = 35


5

The dimensions of this cylinder are height (h) = 6 and radius (r) = 2. What is the volume?

62% Answer Correctly
24π
72π
63π
256π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(22 x 6)
v = 24π