ASVAB Math Knowledge Practice Test 667207 Results

Your Results Global Average
Questions 5 5
Correct 0 2.82
Score 0% 56%

Review

1

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

2

3

4

5


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


2

Solve for x:
x2 + 14x + 36 = 2x + 4

48% Answer Correctly
1 or -2
5 or -6
-4 or -8
2 or 1

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 + 14x + 36 = 2x + 4
x2 + 14x + 36 - 4 = 2x
x2 + 14x - 2x + 32 = 0
x2 + 12x + 32 = 0

Next, factor the quadratic equation:

x2 + 12x + 32 = 0
(x + 4)(x + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 4) or (x + 8) must equal zero:

If (x + 4) = 0, x must equal -4
If (x + 8) = 0, x must equal -8

So the solution is that x = -4 or -8


3

The dimensions of this cylinder are height (h) = 2 and radius (r) = 9. What is the surface area?

48% Answer Correctly
84π
198π
20π
112π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 2)
sa = 2π(81) + 2π(18)
sa = (2 x 81)π + (2 x 18)π
sa = 162π + 36π
sa = 198π


4

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

46% Answer Correctly

diameter

circumference

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).


5

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

49% Answer Correctly

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height

a parallelogram is a quadrilateral

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).