ASVAB Math Knowledge Practice Test 604420 Results

Your Results Global Average
Questions 5 5
Correct 0 2.74
Score 0% 55%

Review

1

The dimensions of this cylinder are height (h) = 4 and radius (r) = 2. What is the surface area?

48% Answer Correctly
30π
24π
10π
66π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 4)
sa = 2π(4) + 2π(8)
sa = (2 x 4)π + (2 x 8)π
sa = 8π + 16π
sa = 24π


2

Solve for b:
b2 - 9 = 0

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

Solution

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

b2 - 9 = 0
(b - 3)(b + 3) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 3) or (b + 3) must equal zero:

If (b - 3) = 0, b must equal 3
If (b + 3) = 0, b must equal -3

So the solution is that b = 3 or -3


3

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

acute, obtuse

obtuse, acute

supplementary, vertical

vertical, supplementary


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


4

Solve for c:
-8c + 4 < \( \frac{c}{-8} \)

44% Answer Correctly
c < -1\(\frac{5}{37}\)
c < \(\frac{32}{63}\)
c < -8\(\frac{1}{10}\)
c < -\(\frac{4}{7}\)

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 < sign and the answer on the other.

-8c + 4 < \( \frac{c}{-8} \)
-8 x (-8c + 4) < c
(-8 x -8c) + (-8 x 4) < c
64c - 32 < c
64c - 32 - c < 0
64c - c < 32
63c < 32
c < \( \frac{32}{63} \)
c < \(\frac{32}{63}\)


5

Simplify (7a)(3ab) - (5a2)(5b).

62% Answer Correctly
46a2b
4ab2
100a2b
-4a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(7a)(3ab) - (5a2)(5b)
(7 x 3)(a x a x b) - (5 x 5)(a2 x b)
(21)(a1+1 x b) - (25)(a2b)
21a2b - 25a2b
-4a2b