ASVAB Math Knowledge Practice Test 35330 Results

Your Results Global Average
Questions 5 5
Correct 0 2.91
Score 0% 58%

Review

1

Solve for z:
2z - 8 < -3 + 7z

55% Answer Correctly
z < -1\(\frac{1}{2}\)
z < -\(\frac{8}{9}\)
z < -1\(\frac{3}{5}\)
z < -1

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 < sign and the answer on the other.

2z - 8 < -3 + 7z
2z < -3 + 7z + 8
2z - 7z < -3 + 8
-5z < 5
z < \( \frac{5}{-5} \)
z < -1


2

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

46% Answer Correctly

radius

chord

diameter

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 dimensions of this cube are height (h) = 2, length (l) = 3, and width (w) = 3. What is the surface area?

51% Answer Correctly
306
68
42
160

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 3) + (2 x 3 x 2) + (2 x 3 x 2)
sa = (18) + (12) + (12)
sa = 42


4

If a = c = 2, b = d = 6, and the blue angle = 70°, what is the area of this parallelogram?

65% Answer Correctly
49
12
18
32

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 2 x 6
a = 12


5

What is 8a2 - 6a2?

73% Answer Correctly
2a2
48a2
48a4
2a4

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.

8a2 - 6a2 = 2a2