ASVAB Math Knowledge Practice Test 369435 Results

Your Results Global Average
Questions 5 5
Correct 0 2.58
Score 0% 52%

Review

1

Simplify (2a)(3ab) + (9a2)(2b).

65% Answer Correctly
12a2b
24ab2
24a2b
55ab2

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.

(2a)(3ab) + (9a2)(2b)
(2 x 3)(a x a x b) + (9 x 2)(a2 x b)
(6)(a1+1 x b) + (18)(a2b)
6a2b + 18a2b
24a2b


2

The endpoints of this line segment are at (-2, 9) and (2, -1). What is the slope of this line?

46% Answer Correctly
\(\frac{1}{2}\)
-2\(\frac{1}{2}\)
-1\(\frac{1}{2}\)
3

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 9) and (2, -1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (9.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)


3

The dimensions of this trapezoid are a = 4, b = 9, c = 6, d = 8, and h = 3. What is the area?

50% Answer Correctly
24
18
25\(\frac{1}{2}\)
21

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(9 + 8)(3)
a = ½(17)(3)
a = ½(51) = \( \frac{51}{2} \)
a = 25\(\frac{1}{2}\)


4

On this circle, line segment CD is the:

46% Answer Correctly

radius

chord

circumference

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).


5

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

triangle

quadrilateral

rhombus

trapezoid


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.