ASVAB Math Knowledge Practice Test 751598 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

The endpoints of this line segment are at (-2, -3) and (2, -1). What is the slope of this line?

46% Answer Correctly
\(\frac{1}{2}\)
-2
-1\(\frac{1}{2}\)
-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, -1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)
m = \(\frac{1}{2}\)


2

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

84% Answer Correctly

Odd

Last

Inside

First


Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.


3

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

acute, obtuse

obtuse, acute

supplementary, vertical

vertical, supplementary


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).


4

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral, isosceles and right

isosceles and right

equilateral and right

equilateral and isosceles


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


5

Simplify (4a)(3ab) + (2a2)(8b).

65% Answer Correctly
28a2b
4a2b
4ab2
70a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(4a)(3ab) + (2a2)(8b)
(4 x 3)(a x a x b) + (2 x 8)(a2 x b)
(12)(a1+1 x b) + (16)(a2b)
12a2b + 16a2b
28a2b