ASVAB Math Knowledge Practice Test 26597 Results

Your Results Global Average
Questions 5 5
Correct 0 3.09
Score 0% 62%

Review

1

Solve for a:
8a + 3 = 2 - 8a

59% Answer Correctly
-\(\frac{4}{9}\)
-\(\frac{1}{16}\)
-1\(\frac{2}{3}\)
-4\(\frac{1}{2}\)

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.

8a + 3 = 2 - 8a
8a = 2 - 8a - 3
8a + 8a = 2 - 3
16a = -1
a = \( \frac{-1}{16} \)
a = -\(\frac{1}{16}\)


2

Which of the following expressions contains exactly two terms?

82% Answer Correctly

quadratic

monomial

polynomial

binomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


3

What is the circumference of a circle with a diameter of 1?

71% Answer Correctly
11π
36π
24π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 1π


4

The endpoints of this line segment are at (-2, -7) and (2, -1). What is the slope of this line?

46% Answer Correctly
\(\frac{1}{2}\)
-1\(\frac{1}{2}\)
1\(\frac{1}{2}\)
-1

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, -7) and (2, -1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)


5

The dimensions of this cylinder are height (h) = 3 and radius (r) = 4. What is the surface area?

48% Answer Correctly
56π
144π
110π
198π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 3)
sa = 2π(16) + 2π(12)
sa = (2 x 16)π + (2 x 12)π
sa = 32π + 24π
sa = 56π