ASVAB Math Knowledge Practice Test 210253 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

The dimensions of this cylinder are height (h) = 6 and radius (r) = 3. What is the surface area?

48% Answer Correctly
16π
54π
168π
100π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 6)
sa = 2π(9) + 2π(18)
sa = (2 x 9)π + (2 x 18)π
sa = 18π + 36π
sa = 54π


2

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

expression

problem

formula

equation


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.


3

Solve for x:
x2 + 6x - 23 = x + 1

48% Answer Correctly
5 or -4
6 or 2
3 or -8
6 or -7

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 + 6x - 23 = x + 1
x2 + 6x - 23 - 1 = x
x2 + 6x - x - 24 = 0
x2 + 5x - 24 = 0

Next, factor the quadratic equation:

x2 + 5x - 24 = 0
(x - 3)(x + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 3) or (x + 8) must equal zero:

If (x - 3) = 0, x must equal 3
If (x + 8) = 0, x must equal -8

So the solution is that x = 3 or -8


4

What is 5a - 8a?

80% Answer Correctly
13a2
-3a2
-3a
13

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.

5a - 8a = -3a


5

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

67% Answer Correctly

h2 x l2 x w2

h x l x w

2lw x 2wh + 2lh

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.