ASVAB Math Knowledge Practice Test 517714 Results

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

Review

1

A coordinate grid is composed of which of the following?

88% Answer Correctly

all of these

x-axis

y-axis

origin


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


2

Solve for y:
-2y - 9 = \( \frac{y}{-1} \)

46% Answer Correctly
-\(\frac{24}{29}\)
\(\frac{3}{5}\)
\(\frac{2}{5}\)
-9

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.

-2y - 9 = \( \frac{y}{-1} \)
-1 x (-2y - 9) = y
(-1 x -2y) + (-1 x -9) = y
2y + 9 = y
2y + 9 - y = 0
2y - y = -9
y = -9
y = \( \frac{-9}{1} \)
y = -9


3

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

factoring

squaring

normalizing

deconstructing


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


4

The dimensions of this cube are height (h) = 9, length (l) = 6, and width (w) = 6. What is the surface area?

51% Answer Correctly
288
92
54
118

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 6) + (2 x 6 x 9) + (2 x 6 x 9)
sa = (72) + (108) + (108)
sa = 288


5

Solve for b:
b2 - 5b + 13 = 4b - 5

48% Answer Correctly
9 or -1
7 or -2
3 or 6
9 or 2

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

b2 - 5b + 13 = 4b - 5
b2 - 5b + 13 + 5 = 4b
b2 - 5b - 4b + 18 = 0
b2 - 9b + 18 = 0

Next, factor the quadratic equation:

b2 - 9b + 18 = 0
(b - 3)(b - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 3) or (b - 6) must equal zero:

If (b - 3) = 0, b must equal 3
If (b - 6) = 0, b must equal 6

So the solution is that b = 3 or 6