ASVAB Math Knowledge Practice Test 830496 Results

Your Results Global Average
Questions 5 5
Correct 0 3.30
Score 0% 66%

Review

1

If the base of this triangle is 2 and the height is 8, what is the area?

59% Answer Correctly
35
8
30
42

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 2 x 8 = \( \frac{16}{2} \) = 8


2

Simplify (7a)(7ab) + (2a2)(5b).

66% Answer Correctly
59a2b
98a2b
-39ab2
-39a2b

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)(7ab) + (2a2)(5b)
(7 x 7)(a x a x b) + (2 x 5)(a2 x b)
(49)(a1+1 x b) + (10)(a2b)
49a2b + 10a2b
59a2b


3

What is 4a - 5a?

80% Answer Correctly
9
-1a
-a2
-1

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.

4a - 5a = -1a


4

Simplify (y + 8)(y + 2)

64% Answer Correctly
y2 + 10y + 16
y2 - 10y + 16
y2 - 6y - 16
y2 + 6y - 16

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 + 8)(y + 2)
(y x y) + (y x 2) + (8 x y) + (8 x 2)
y2 + 2y + 8y + 16
y2 + 10y + 16


5

The dimensions of this cylinder are height (h) = 2 and radius (r) = 8. What is the volume?

62% Answer Correctly
64π
48π
200π
128π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(82 x 2)
v = 128π