ASVAB Math Knowledge Practice Test 370030 Results

Your Results Global Average
Questions 5 5
Correct 0 3.11
Score 0% 62%

Review

1

Solve for z:
z2 - 18z + 35 = -5z - 5

49% Answer Correctly
8 or -2
-2 or -9
1 or -5
5 or 8

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 - 18z + 35 = -5z - 5
z2 - 18z + 35 + 5 = -5z
z2 - 18z + 5z + 40 = 0
z2 - 13z + 40 = 0

Next, factor the quadratic equation:

z2 - 13z + 40 = 0
(z - 5)(z - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 5) or (z - 8) must equal zero:

If (z - 5) = 0, z must equal 5
If (z - 8) = 0, z must equal 8

So the solution is that z = 5 or 8


2

A trapezoid is a quadrilateral with one set of __________ sides.

71% Answer Correctly

right angle

parallel

equal angle

equal length


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


3

What is the circumference of a circle with a radius of 16?

71% Answer Correctly
18π
30π
32π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 16)
c = 32π


4

If c = 6 and x = 5, what is the value of 5c(c - x)?

69% Answer Correctly
325
-54
30
126

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.)

5c(c - x)
5(6)(6 - 5)
5(6)(1)
(30)(1)
30


5

The dimensions of this cube are height (h) = 2, length (l) = 7, and width (w) = 4. What is the surface area?

51% Answer Correctly
100
124
188
34

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 7 x 4) + (2 x 4 x 2) + (2 x 7 x 2)
sa = (56) + (16) + (28)
sa = 100