ASVAB Math Knowledge Practice Test 530444 Results

Your Results Global Average
Questions 5 5
Correct 0 2.27
Score 0% 45%

Review

1

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

52% Answer Correctly

rhombus

triangle

trapezoid

quadrilateral


Solution

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


2

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

48% Answer Correctly
324π
144π
196π
168π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 9)
sa = 2π(81) + 2π(81)
sa = (2 x 81)π + (2 x 81)π
sa = 162π + 162π
sa = 324π


3

On this circle, line segment CD is the:

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).


4

Solve for a:
-2a + 4 = \( \frac{a}{-7} \)

46% Answer Correctly
2\(\frac{2}{13}\)
-1\(\frac{1}{62}\)
-2\(\frac{14}{25}\)
8\(\frac{1}{6}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-2a + 4 = \( \frac{a}{-7} \)
-7 x (-2a + 4) = a
(-7 x -2a) + (-7 x 4) = a
14a - 28 = a
14a - 28 - a = 0
14a - a = 28
13a = 28
a = \( \frac{28}{13} \)
a = 2\(\frac{2}{13}\)


5

Solve -3b - b = -6b + 7x + 8 for b in terms of x.

34% Answer Correctly
2\(\frac{2}{3}\)x + 2\(\frac{2}{3}\)
\(\frac{1}{2}\)x + \(\frac{1}{12}\)
-x - \(\frac{2}{5}\)
\(\frac{3}{5}\)x - 1\(\frac{3}{5}\)

Solution

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

-3b - x = -6b + 7x + 8
-3b = -6b + 7x + 8 + x
-3b + 6b = 7x + 8 + x
3b = 8x + 8
b = \( \frac{8x + 8}{3} \)
b = \( \frac{8x}{3} \) + \( \frac{8}{3} \)
b = 2\(\frac{2}{3}\)x + 2\(\frac{2}{3}\)