ASVAB Math Knowledge Practice Test 450655 Results

Your Results Global Average
Questions 5 5
Correct 0 2.80
Score 0% 56%

Review

1

If angle a = 56° and angle b = 47° what is the length of angle d?

56% Answer Correctly
126°
129°
124°
153°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 56° - 47° = 77°

So, d° = 47° + 77° = 124°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 56° = 124°


2

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

radius

diameter

chord

circumference


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

The endpoints of this line segment are at (-2, 6) and (2, -4). What is the slope of this line?

46% Answer Correctly
1\(\frac{1}{2}\)
-2\(\frac{1}{2}\)
-1
-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, -4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)


4

What is 6a - 5a?

80% Answer Correctly
a2
1
1a
11

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.

6a - 5a = 1a


5

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

52% Answer Correctly

quadrilateral

trapezoid

rhombus

triangle


Solution

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