ASVAB Math Knowledge Practice Test 782425 Results

Your Results Global Average
Questions 5 5
Correct 0 2.60
Score 0% 52%

Review

1

If angle a = 24° and angle b = 50° what is the length of angle c?

71% Answer Correctly
106°
93°
67°
68°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 24° - 50° = 106°


2

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

50% Answer Correctly

the area of a parallelogram is base x height

a parallelogram is a quadrilateral

opposite sides and adjacent angles are equal

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


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).


3

Solve for x:
x2 - 11x + 13 = -5x + 5

48% Answer Correctly
5 or 3
2 or 4
-7 or -7
-4 or -6

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

x2 - 11x + 13 = -5x + 5
x2 - 11x + 13 - 5 = -5x
x2 - 11x + 5x + 8 = 0
x2 - 6x + 8 = 0

Next, factor the quadratic equation:

x2 - 6x + 8 = 0
(x - 2)(x - 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x - 4) must equal zero:

If (x - 2) = 0, x must equal 2
If (x - 4) = 0, x must equal 4

So the solution is that x = 2 or 4


4

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

46% Answer Correctly

chord

circumference

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).


5

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

trisects

bisects

midpoints

intersects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.