ASVAB Math Knowledge Practice Test 638144 Results

Your Results Global Average
Questions 5 5
Correct 0 2.85
Score 0% 57%

Review

1

Solve for a:
a2 - a - 2 = 0

58% Answer Correctly
5 or -4
-1 or 2
-3 or -9
7 or 2

Solution

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

a2 - a - 2 = 0
(a + 1)(a - 2) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 1) or (a - 2) must equal zero:

If (a + 1) = 0, a must equal -1
If (a - 2) = 0, a must equal 2

So the solution is that a = -1 or 2


2

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

trisects

intersects

bisects

midpoints


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


3

The dimensions of this cylinder are height (h) = 6 and radius (r) = 9. What is the surface area?

48% Answer Correctly
176π
140π
270π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 6)
sa = 2π(81) + 2π(54)
sa = (2 x 81)π + (2 x 54)π
sa = 162π + 108π
sa = 270π


4

Simplify (y - 4)(y - 6)

63% Answer Correctly
y2 - 10y + 24
y2 + 10y + 24
y2 + 2y - 24
y2 - 2y - 24

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 4)(y - 6)
(y x y) + (y x -6) + (-4 x y) + (-4 x -6)
y2 - 6y - 4y + 24
y2 - 10y + 24


5

What is the area of a circle with a radius of 4?

69% Answer Correctly
49π
25π
16π

Solution

The formula for area is πr2:

a = πr2
a = π(42)
a = 16π