ASVAB Math Knowledge Practice Test 786438 Results

Your Results Global Average
Questions 5 5
Correct 0 3.25
Score 0% 65%

Review

1

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

76% Answer Correctly

problem

equation

expression

formula


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.


2

Solve for z:
z2 - 14z + 45 = 0

58% Answer Correctly
3 or -3
5 or 9
8 or -1
-6 or -8

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z2 - 14z + 45 = 0
(z - 5)(z - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 5) or (z - 9) must equal zero:

If (z - 5) = 0, z must equal 5
If (z - 9) = 0, z must equal 9

So the solution is that z = 5 or 9


3

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

acute, obtuse, right

acute, right, obtuse

right, obtuse, acute

right, acute, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


4

If side a = 5, side b = 8, what is the length of the hypotenuse of this right triangle?

63% Answer Correctly
\( \sqrt{89} \)
\( \sqrt{82} \)
\( \sqrt{117} \)
\( \sqrt{85} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 52 + 82
c2 = 25 + 64
c2 = 89
c = \( \sqrt{89} \)


5

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

π r2h2

4π r2

π r2h

2(π r2) + 2π rh


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.