ASVAB Math Knowledge Practice Test 80552 Results

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

Review

1

On this circle, line segment AB is the:

72% Answer Correctly

circumference

diameter

radius

chord


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).


2

The endpoints of this line segment are at (-2, -6) and (2, 2). What is the slope of this line?

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

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, -6) and (2, 2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2


3

Simplify (4a)(4ab) - (4a2)(2b).

63% Answer Correctly
48a2b
8a2b
-8ab2
24ab2

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.

(4a)(4ab) - (4a2)(2b)
(4 x 4)(a x a x b) - (4 x 2)(a2 x b)
(16)(a1+1 x b) - (8)(a2b)
16a2b - 8a2b
8a2b


4

If side x = 5cm, side y = 8cm, and side z = 14cm what is the perimeter of this triangle?

85% Answer Correctly
30cm
27cm
24cm
26cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 5cm + 8cm + 14cm = 27cm


5

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

a parallelogram is a quadrilateral

the perimeter of a parallelogram is the sum of the lengths of all sides

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).