ASVAB Math Knowledge Practice Test 255922 Results

Your Results Global Average
Questions 5 5
Correct 0 2.90
Score 0% 58%

Review

1

Factor y2 + 3y - 28

53% Answer Correctly
(y + 4)(y + 7)
(y + 4)(y - 7)
(y - 4)(y - 7)
(y - 4)(y + 7)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -28 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are -4 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 3y - 28
y2 + (-4 + 7)y + (-4 x 7)
(y - 4)(y + 7)


2

The dimensions of this cylinder are height (h) = 6 and radius (r) = 1. What is the surface area?

48% Answer Correctly
30π
160π
14π
20π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 6)
sa = 2π(1) + 2π(6)
sa = (2 x 1)π + (2 x 6)π
sa = 2π + 12π
sa = 14π


3

What is 2a6 - 8a6?

73% Answer Correctly
16a12
-6a6
-6
10a12

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a6 - 8a6 = -6a6


4

Solve 2c - 5c = 3c - 8x + 4 for c in terms of x.

34% Answer Correctly
\(\frac{1}{3}\)x + 3
-\(\frac{10}{11}\)x + \(\frac{3}{11}\)
3x - 4
-1\(\frac{1}{5}\)x + \(\frac{1}{10}\)

Solution

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

2c - 5x = 3c - 8x + 4
2c = 3c - 8x + 4 + 5x
2c - 3c = -8x + 4 + 5x
-c = -3x + 4
c = \( \frac{-3x + 4}{-1} \)
c = \( \frac{-3x}{-1} \) + \( \frac{4}{-1} \)
c = 3x - 4


5

The dimensions of this cube are height (h) = 3, length (l) = 5, and width (w) = 4. What is the volume?

82% Answer Correctly
240
24
280
60

Solution

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

v = h x l x w
v = 3 x 5 x 4
v = 60