ASVAB Math Knowledge Practice Test 7229 Results

Your Results Global Average
Questions 5 5
Correct 0 2.87
Score 0% 57%

Review

1

The dimensions of this cube are height (h) = 2, length (l) = 1, and width (w) = 3. What is the volume?

83% Answer Correctly
10
64
432
6

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 2 x 1 x 3
v = 6


2

What is 5a7 + 7a7?

75% Answer Correctly
35a14
-2
-2a14
12a7

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.

5a7 + 7a7 = 12a7


3

Factor y2 + 12y + 35

54% Answer Correctly
(y + 5)(y - 7)
(y - 5)(y - 7)
(y - 5)(y + 7)
(y + 5)(y + 7)

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 35 as well and sum (Inside, Outside) to equal 12. For this problem, those two numbers are 5 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 12y + 35
y2 + (5 + 7)y + (5 x 7)
(y + 5)(y + 7)


4

The dimensions of this cube are height (h) = 1, length (l) = 9, and width (w) = 4. What is the surface area?

51% Answer Correctly
198
48
202
98

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 9 x 4) + (2 x 4 x 1) + (2 x 9 x 1)
sa = (72) + (8) + (18)
sa = 98


5

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

24% Answer Correctly

c = π r

c = π d2

c = π d

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.