ASVAB Math Knowledge Practice Test 365579 Results

Your Results Global Average
Questions 5 5
Correct 0 2.84
Score 0% 57%

Review

1

Solve for b:
-4b - 1 = \( \frac{b}{-2} \)

46% Answer Correctly
-1\(\frac{5}{19}\)
-\(\frac{2}{7}\)
3
3\(\frac{3}{17}\)

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.

-4b - 1 = \( \frac{b}{-2} \)
-2 x (-4b - 1) = b
(-2 x -4b) + (-2 x -1) = b
8b + 2 = b
8b + 2 - b = 0
8b - b = -2
7b = -2
b = \( \frac{-2}{7} \)
b = -\(\frac{2}{7}\)


2

Find the value of a:
2a + x = -6
2a - 7x = 9

42% Answer Correctly
-2\(\frac{4}{15}\)
-\(\frac{5}{57}\)
-\(\frac{65}{76}\)
-2\(\frac{1}{16}\)

Solution

You need to find the value of a so solve the first equation in terms of x:

2a + x = -6
x = -6 - 2a

then substitute the result (-6 - 2a) into the second equation:

2a - 7(-6 - 2a) = 9
2a + (-7 x -6) + (-7 x -2a) = 9
2a + 42 + 14a = 9
2a + 14a = 9 - 42
16a = -33
a = \( \frac{-33}{16} \)
a = -2\(\frac{1}{16}\)


3

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

82% Answer Correctly
30
18
224
120

Solution

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

v = h x l x w
v = 6 x 4 x 5
v = 120


4

What is the area of a circle with a diameter of 8?

69% Answer Correctly
64π
16π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π


5

Solve for z:
4z + 3 < \( \frac{z}{7} \)

44% Answer Correctly
z < -\(\frac{7}{9}\)
z < -6\(\frac{2}{5}\)
z < 1\(\frac{15}{34}\)
z < -\(\frac{1}{2}\)

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.

4z + 3 < \( \frac{z}{7} \)
7 x (4z + 3) < z
(7 x 4z) + (7 x 3) < z
28z + 21 < z
28z + 21 - z < 0
28z - z < -21
27z < -21
z < \( \frac{-21}{27} \)
z < -\(\frac{7}{9}\)