ASVAB Math Knowledge Practice Test 584203 Results

Your Results Global Average
Questions 5 5
Correct 0 3.15
Score 0% 63%

Review

1

The endpoints of this line segment are at (-2, 3) and (2, -9). What is the slope of this line?

46% Answer Correctly
-1\(\frac{1}{2}\)
-3
-2
-2\(\frac{1}{2}\)

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 3) and (2, -9) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-9.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)
m = -3


2

Which of the following expressions contains exactly two terms?

83% Answer Correctly

quadratic

polynomial

monomial

binomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


3

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

77% Answer Correctly

equation

formula

problem

expression


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.


4

The dimensions of this cylinder are height (h) = 8 and radius (r) = 4. What is the surface area?

48% Answer Correctly
96π
176π
224π
14π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 8)
sa = 2π(16) + 2π(32)
sa = (2 x 16)π + (2 x 32)π
sa = 32π + 64π
sa = 96π


5

Which of the following statements about a triangle is not true?

58% Answer Correctly

exterior angle = sum of two adjacent interior angles

area = ½bh

sum of interior angles = 180°

perimeter = sum of side lengths


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.