ASVAB Math Knowledge Practice Test 443123 Results

Your Results Global Average
Questions 5 5
Correct 0 3.14
Score 0% 63%

Review

1

If a = c = 9, b = d = 2, and the blue angle = 64°, what is the area of this parallelogram?

65% Answer Correctly
18
63
24
72

Solution

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

a = l x w
a = a x b
a = 9 x 2
a = 18


2

Solve -6b - 5b = 6b + 6y + 3 for b in terms of y.

34% Answer Correctly
-\(\frac{1}{9}\)y - \(\frac{1}{2}\)
\(\frac{1}{16}\)y - \(\frac{7}{16}\)
-\(\frac{11}{12}\)y - \(\frac{1}{4}\)
4y + 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.

-6b - 5y = 6b + 6y + 3
-6b = 6b + 6y + 3 + 5y
-6b - 6b = 6y + 3 + 5y
-12b = 11y + 3
b = \( \frac{11y + 3}{-12} \)
b = \( \frac{11y}{-12} \) + \( \frac{3}{-12} \)
b = -\(\frac{11}{12}\)y - \(\frac{1}{4}\)


3

Factor y2 - 3y - 40

54% Answer Correctly
(y + 8)(y - 5)
(y - 8)(y + 5)
(y - 8)(y - 5)
(y + 8)(y + 5)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -40 as well and sum (Inside, Outside) to equal -3. For this problem, those two numbers are -8 and 5. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 3y - 40
y2 + (-8 + 5)y + (-8 x 5)
(y - 8)(y + 5)


4

What is the circumference of a circle with a diameter of 14?

71% Answer Correctly
19π
10π
14π
22π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 14π


5

A right angle measures:

90% Answer Correctly

360°

180°

45°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.