ASVAB Math Knowledge Practice Test 147803 Results

Your Results Global Average
Questions 5 5
Correct 0 2.56
Score 0% 51%

Review

1

Solve for b:
b2 - b - 38 = b - 3

48% Answer Correctly
9 or 3
1 or -7
-5 or 7
8 or 5

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

b2 - b - 38 = b - 3
b2 - b - 38 + 3 = b
b2 - b - b - 35 = 0
b2 - 2b - 35 = 0

Next, factor the quadratic equation:

b2 - 2b - 35 = 0
(b + 5)(b - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 5) or (b - 7) must equal zero:

If (b + 5) = 0, b must equal -5
If (b - 7) = 0, b must equal 7

So the solution is that b = -5 or 7


2

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d2

c = π d

c = π r

c = π r2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


3

The dimensions of this cylinder are height (h) = 7 and radius (r) = 5. What is the surface area?

48% Answer Correctly
120π
256π
4π
18π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 7)
sa = 2π(25) + 2π(35)
sa = (2 x 25)π + (2 x 35)π
sa = 50π + 70π
sa = 120π


4

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

right, obtuse, acute

acute, obtuse, right

acute, right, obtuse

right, acute, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


5

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

62% Answer Correctly
216π
147π
256π
72π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(62 x 6)
v = 216π