ASVAB Math Knowledge Practice Test 765705 Results

Your Results Global Average
Questions 5 5
Correct 0 3.38
Score 0% 68%

Review

1

If a = 3 and y = -5, what is the value of -6a(a - y)?

68% Answer Correctly
-312
0
-144
-156

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.)

-6a(a - y)
-6(3)(3 + 5)
-6(3)(8)
(-18)(8)
-144


2

On this circle, line segment AB is the:

71% Answer Correctly

diameter

radius

chord

circumference


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


3

Solve for z:
z2 - z - 12 = -4z - 2

48% Answer Correctly
2 or -5
1 or -8
4 or -9
9 or 6

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:

z2 - z - 12 = -4z - 2
z2 - z - 12 + 2 = -4z
z2 - z + 4z - 10 = 0
z2 + 3z - 10 = 0

Next, factor the quadratic equation:

z2 + 3z - 10 = 0
(z - 2)(z + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z + 5) must equal zero:

If (z - 2) = 0, z must equal 2
If (z + 5) = 0, z must equal -5

So the solution is that z = 2 or -5


4

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

2lw x 2wh + 2lh

h2 x l2 x w2

h x l x w

lw x wh + lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


5

What is 8a + 2a?

81% Answer Correctly
10
16a2
10a2
10a

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.

8a + 2a = 10a