ASVAB Math Knowledge Practice Test 198757 Results

Your Results Global Average
Questions 5 5
Correct 0 3.67
Score 0% 73%

Review

1

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

91% Answer Correctly

pairs

division

addition

exponents


Solution

When solving an equation with two variables, 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.)


2

A coordinate grid is composed of which of the following?

91% Answer Correctly

all of these

origin

x-axis

y-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


3

Solve for x:
x2 - 4x - 12 = 0

58% Answer Correctly
-5 or -5
-2 or 6
-7 or -8
6 or 1

Solution

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

x2 - 4x - 12 = 0
(x + 2)(x - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 2) or (x - 6) must equal zero:

If (x + 2) = 0, x must equal -2
If (x - 6) = 0, x must equal 6

So the solution is that x = -2 or 6


4

The dimensions of this cylinder are height (h) = 9 and radius (r) = 1. What is the volume?

62% Answer Correctly
448π
48π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(12 x 9)
v = 9π


5

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

vertical, supplementary

obtuse, acute

acute, obtuse

supplementary, vertical


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).