ASVAB Math Knowledge Practice Test 270162 Results

Your Results Global Average
Questions 5 5
Correct 0 3.42
Score 0% 68%

Review

1

What is 7a3 - 4a3?

73% Answer Correctly
3a6
28a3
3a3
a36
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.

7a3 - 4a3 = 3a3

2

If a = c = 2, b = d = 8, what is the area of this rectangle?

80% Answer Correctly
3
16
8
28
Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 2 x 8
a = 16

3

Simplify (y + 3)(y + 6)

63% Answer Correctly
y2 + 9y + 18
y2 - 9y + 18
y2 + 3y - 18
y2 - 3y - 18
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 + 3)(y + 6)
(y x y) + (y x 6) + (3 x y) + (3 x 6)
y2 + 6y + 3y + 18
y2 + 9y + 18

4

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

62% Answer Correctly
49π
9π
112π
729π
Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(92 x 9)
v = 729π

5

If side a = 5, side b = 2, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{68} \)
\( \sqrt{106} \)
\( \sqrt{29} \)
\( \sqrt{130} \)
Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 52 + 22
c2 = 25 + 4
c2 = 29
c = \( \sqrt{29} \)