ASVAB Math Knowledge Practice Test 971510 Results

Your Results Global Average
Questions 5 5
Correct 0 2.69
Score 0% 54%

Review

1

Solve for x:
x2 - 10x + 4 = -4x - 5

49% Answer Correctly
1 or 1
-2 or -3
8 or -3
3

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:

x2 - 10x + 4 = -4x - 5
x2 - 10x + 4 + 5 = -4x
x2 - 10x + 4x + 9 = 0
x2 - 6x + 9 = 0

Next, factor the quadratic equation:

x2 - 6x + 9 = 0
(x - 3)(x - 3) = 0

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

If (x - 3) = 0, x must equal 3

So the solution is that x = 3


2

Factor y2 - 6y + 8

54% Answer Correctly
(y + 4)(y + 2)
(y - 4)(y - 2)
(y + 4)(y - 2)
(y - 4)(y + 2)

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 8 as well and sum (Inside, Outside) to equal -6. For this problem, those two numbers are -4 and -2. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 6y + 8
y2 + (-4 - 2)y + (-4 x -2)
(y - 4)(y - 2)


3

If c = -5 and y = -9, what is the value of -3c(c - y)?

69% Answer Correctly
-6
60
630
42

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-3c(c - y)
-3(-5)(-5 + 9)
-3(-5)(4)
(15)(4)
60


4

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

51% Answer Correctly
118
16
94
214

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 3 x 4) + (2 x 4 x 5) + (2 x 3 x 5)
sa = (24) + (40) + (30)
sa = 94


5

If the length of AB equals the length of BD, point B __________ this line segment.

46% Answer Correctly

bisects

trisects

intersects

midpoints


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.