Free ASVAB Practice Tests

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 50mph \times 1h \)
50 miles

A closed circuit is a complete loop or path that electricity follows. It consists of a source of voltage, a load, and connective conductors. If the circuit is interrupted, if a wire is disconnected or cut for example, it becomes an open circuit and no electricity will flow.

Mechanical advantage (MA) can be calculated knowing only the distance the effort (blue arrow) moves and the distance the resistance (green box) moves. The equation is:

MA = \( \frac{E_d}{R_d} \)

where E_d is the effort distance and R_d is the resistance distance. For this problem, the equation becomes:

MA = \( \frac{5 ft.}{2.5 ft.} \) = 2

You might be wondering how having an effort distance of 2 times the resistance distance is an advantage. Remember the principle of moments. For a lever in equilibrium the effort torque equals the resistance torque. Because torque is force x distance, if the effort distance is 2 times the resistance distance, the effort force must be \( \frac{1}{2} \) the resistance force. You're trading moving 2 times the distance for only having to use \( \frac{1}{2} \) the force.

The purpose of a capacitor is to retain electric charge and it will do so even after its input voltage is removed. After the input voltage is removed, the capacitor will slowly discharge but, depending on the size and characteristics of the capacitor, discharging could take from a few minutes to a few years. So, it's never safe to touch a capacitor with your hands and you should make sure to discharge any capacitors in a circuit before working on it using an appropriately high-wattage resistor or a capacitor discharge tool.

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.

-6x + 9 = -7 + 7x
-6x = -7 + 7x - 9
-6x - 7x = -7 - 9
-13x = -16
x = \( \frac{-16}{-13} \)
x = 1\(\frac{3}{13}\)

Blood is created in bone marrow and is made up of cells suspended in liquid plasma. Red blood cells carry oxygen, white blood cells fight infection, and platelets are cell fragments that allow blood to clot.

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:

y² + 6y - 13 = -y + 5
y² + 6y - 13 - 5 = -y
y² + 6y + y - 18 = 0
y² + 7y - 18 = 0

Next, factor the quadratic equation:

y² + 7y - 18 = 0
(y - 2)(y + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 2) or (y + 9) must equal zero:

If (y - 2) = 0, y must equal 2
If (y + 9) = 0, y must equal -9

So the solution is that y = 2 or -9

The volume of a cylinder is πr²h:

v = πr²h
v = π(1² x 9)
v = 9π