ASVAB Math Knowledge Practice Test 971033 Results

Your Results Global Average
Questions 5 5
Correct 0 2.75
Score 0% 55%

Review

1

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

π r2h

2(π r2) + 2π rh

4π r2

π r2h2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


2

The endpoints of this line segment are at (-2, -7) and (2, 1). What is the slope of this line?

46% Answer Correctly
1
2
2\(\frac{1}{2}\)
-1

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -7) and (2, 1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2


3

Simplify (9a)(6ab) - (9a2)(8b).

62% Answer Correctly
255ab2
255a2b
126ab2
-18a2b

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.

(9a)(6ab) - (9a2)(8b)
(9 x 6)(a x a x b) - (9 x 8)(a2 x b)
(54)(a1+1 x b) - (72)(a2b)
54a2b - 72a2b
-18a2b


4

What is the area of a circle with a radius of 3?

69% Answer Correctly
64π

Solution

The formula for area is πr2:

a = πr2
a = π(32)
a = 9π


5

Solve for z:
-6z - 1 = \( \frac{z}{-5} \)

46% Answer Correctly
-1\(\frac{4}{5}\)
-\(\frac{5}{29}\)
-\(\frac{9}{13}\)
-2\(\frac{13}{16}\)

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 equal sign and the answer on the other.

-6z - 1 = \( \frac{z}{-5} \)
-5 x (-6z - 1) = z
(-5 x -6z) + (-5 x -1) = z
30z + 5 = z
30z + 5 - z = 0
30z - z = -5
29z = -5
z = \( \frac{-5}{29} \)
z = -\(\frac{5}{29}\)