ASVAB Math Knowledge Practice Test 410014 Results

Your Results Global Average
Questions 5 5
Correct 0 3.61
Score 0% 72%

Review

1

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).


2

A coordinate grid is composed of which of the following?

91% Answer Correctly

y-axis

all of these

x-axis

origin


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

If angle a = 50° and angle b = 67° what is the length of angle d?

56% Answer Correctly
115°
124°
139°
130°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 50° - 67° = 63°

So, d° = 67° + 63° = 130°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 50° = 130°


4

Simplify (6a)(4ab) + (8a2)(7b).

65% Answer Correctly
150ab2
32a2b
80a2b
32ab2

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.

(6a)(4ab) + (8a2)(7b)
(6 x 4)(a x a x b) + (8 x 7)(a2 x b)
(24)(a1+1 x b) + (56)(a2b)
24a2b + 56a2b
80a2b


5

Simplify 5a x 5b.

86% Answer Correctly
25ab
25\( \frac{a}{b} \)
25\( \frac{b}{a} \)
25a2b2

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.

5a x 5b = (5 x 5) (a x b) = 25ab