ASVAB Math Knowledge Practice Test 744887 Results

Your Results Global Average
Questions 5 5
Correct 0 3.10
Score 0% 62%

Review

1

What is 4a5 - 3a5?

74% Answer Correctly
1a5
12a5
a10
7a10

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

4a5 - 3a5 = 1a5


2

The dimensions of this cylinder are height (h) = 6 and radius (r) = 4. What is the volume?

63% Answer Correctly
96π
512π
144π
24π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(42 x 6)
v = 96π


3

Solve for b:
b2 + 5b - 36 = 0

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

Solution

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

b2 + 5b - 36 = 0
(b - 4)(b + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 4) or (b + 9) must equal zero:

If (b - 4) = 0, b must equal 4
If (b + 9) = 0, b must equal -9

So the solution is that b = 4 or -9


4

The dimensions of this cube are height (h) = 7, length (l) = 8, and width (w) = 6. What is the surface area?

51% Answer Correctly
34
82
292
148

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 8 x 6) + (2 x 6 x 7) + (2 x 8 x 7)
sa = (96) + (84) + (112)
sa = 292


5

Simplify (y + 9)(y + 6)

64% Answer Correctly
y2 - 15y + 54
y2 + 15y + 54
y2 - 3y - 54
y2 + 3y - 54

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 + 9)(y + 6)
(y x y) + (y x 6) + (9 x y) + (9 x 6)
y2 + 6y + 9y + 54
y2 + 15y + 54