ASVAB Math Knowledge Practice Test 761818 Results

Your Results Global Average
Questions 5 5
Correct 0 3.04
Score 0% 61%

Review

1

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

48% Answer Correctly
90π
72π
324π
32π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 9)
sa = 2π(81) + 2π(81)
sa = (2 x 81)π + (2 x 81)π
sa = 162π + 162π
sa = 324π


2

What is the circumference of a circle with a radius of 11?

71% Answer Correctly
16π
34π
22π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 11)
c = 22π


3

Simplify (4a)(7ab) - (9a2)(2b).

62% Answer Correctly
-10ab2
46a2b
10a2b
121a2b

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.

(4a)(7ab) - (9a2)(2b)
(4 x 7)(a x a x b) - (9 x 2)(a2 x b)
(28)(a1+1 x b) - (18)(a2b)
28a2b - 18a2b
10a2b


4

Simplify (5a)(9ab) + (2a2)(5b).

66% Answer Correctly
55a2b
35ab2
-35ab2
55ab2

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.

(5a)(9ab) + (2a2)(5b)
(5 x 9)(a x a x b) + (2 x 5)(a2 x b)
(45)(a1+1 x b) + (10)(a2b)
45a2b + 10a2b
55a2b


5

Solve for b:
8b + 6 < -3 - 5b

55% Answer Correctly
b < -\(\frac{9}{13}\)
b < -3
b < 4
b < -\(\frac{3}{4}\)

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.

8b + 6 < -3 - 5b
8b < -3 - 5b - 6
8b + 5b < -3 - 6
13b < -9
b < \( \frac{-9}{13} \)
b < -\(\frac{9}{13}\)