ASVAB Math Knowledge Practice Test 97598 Results

Your Results Global Average
Questions 5 5
Correct 0 2.95
Score 0% 59%

Review

1

Factor y2 - 9y + 20

53% Answer Correctly
(y + 5)(y + 4)
(y - 5)(y + 4)
(y - 5)(y - 4)
(y + 5)(y - 4)

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 20 as well and sum (Inside, Outside) to equal -9. For this problem, those two numbers are -5 and -4. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 9y + 20
y2 + (-5 - 4)y + (-5 x -4)
(y - 5)(y - 4)


2

The dimensions of this cylinder are height (h) = 1 and radius (r) = 9. What is the surface area?

48% Answer Correctly
12π
224π
180π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 1)
sa = 2π(81) + 2π(9)
sa = (2 x 81)π + (2 x 9)π
sa = 162π + 18π
sa = 180π


3

Solve for a:
a2 + 6a + 8 = 0

58% Answer Correctly
-2 or -4
4 or -6
5 or -9
3 or -8

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

a2 + 6a + 8 = 0
(a + 2)(a + 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 2) or (a + 4) must equal zero:

If (a + 2) = 0, a must equal -2
If (a + 4) = 0, a must equal -4

So the solution is that a = -2 or -4


4

If a = c = 4, b = d = 1, and the blue angle = 76°, what is the area of this parallelogram?

65% Answer Correctly
15
28
16
4

Solution

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

a = l x w
a = a x b
a = 4 x 1
a = 4


5

What is the circumference of a circle with a radius of 6?

70% Answer Correctly
28π
12π
20π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 6)
c = 12π