ASVAB Math Knowledge Practice Test 104318 Results

Your Results Global Average
Questions 5 5
Correct 0 2.88
Score 0% 58%

Review

1

Solve for y:
-4y - 5 < \( \frac{y}{8} \)

45% Answer Correctly
y < -1\(\frac{7}{33}\)
y < -\(\frac{9}{40}\)
y < 8
y < 1\(\frac{8}{55}\)

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.

-4y - 5 < \( \frac{y}{8} \)
8 x (-4y - 5) < y
(8 x -4y) + (8 x -5) < y
-32y - 40 < y
-32y - 40 - y < 0
-32y - y < 40
-33y < 40
y < \( \frac{40}{-33} \)
y < -1\(\frac{7}{33}\)


2

Which of the following is not true about both rectangles and squares?

64% Answer Correctly

the area is length x width

all interior angles are right angles

the perimeter is the sum of the lengths of all four sides

the lengths of all sides are equal


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


3

The endpoints of this line segment are at (-2, 8) and (2, -4). What is the slope of this line?

46% Answer Correctly
-2
-1
1\(\frac{1}{2}\)
-3

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, 8) and (2, -4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (8.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)
m = -3


4

The dimensions of this cube are height (h) = 5, length (l) = 5, and width (w) = 1. What is the volume?

83% Answer Correctly
63
216
48
25

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 5 x 5 x 1
v = 25


5

The dimensions of this cube are height (h) = 3, length (l) = 4, and width (w) = 1. What is the surface area?

51% Answer Correctly
38
254
188
62

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 4 x 1) + (2 x 1 x 3) + (2 x 4 x 3)
sa = (8) + (6) + (24)
sa = 38