ASVAB Math Knowledge Practice Test 974824 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

Solve for b:
8b - 3 = \( \frac{b}{-2} \)

46% Answer Correctly
\(\frac{9}{32}\)
5
\(\frac{16}{41}\)
\(\frac{6}{17}\)

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.

8b - 3 = \( \frac{b}{-2} \)
-2 x (8b - 3) = b
(-2 x 8b) + (-2 x -3) = b
-16b + 6 = b
-16b + 6 - b = 0
-16b - b = -6
-17b = -6
b = \( \frac{-6}{-17} \)
b = \(\frac{6}{17}\)


2

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

lw x wh + lh

h2 x l2 x w2

2lw x 2wh + 2lh

h x l x w


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


3

A right angle measures:

90% Answer Correctly

360°

180°

45°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


4

The dimensions of this cube are height (h) = 5, length (l) = 6, and width (w) = 4. What is the surface area?

51% Answer Correctly
262
148
318
178

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 6 x 4) + (2 x 4 x 5) + (2 x 6 x 5)
sa = (48) + (40) + (60)
sa = 148


5

Simplify (2a)(6ab) - (5a2)(3b).

59% Answer Correctly
64a2b
-3a2b
27a2b
3ab2

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.

(2a)(6ab) - (5a2)(3b)
(2 x 6)(a x a x b) - (5 x 3)(a2 x b)
(12)(a1+1 x b) - (15)(a2b)
12a2b - 15a2b
-3a2b