ASVAB Math Knowledge Practice Test 872809 Results

Your Results Global Average
Questions 5 5
Correct 0 3.54
Score 0% 71%

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

supplementary, vertical

vertical, supplementary

acute, obtuse

obtuse, acute


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 right angle measures:

91% Answer Correctly

360°

90°

45°

180°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


3

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

58% Answer Correctly

area = ½bh

exterior angle = sum of two adjacent interior angles

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.


4

If a = 8, b = 7, c = 2, and d = 3, what is the perimeter of this quadrilateral?

88% Answer Correctly
30
20
23
24

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 8 + 7 + 2 + 3
p = 20


5

Solve for x:
7x - 3 > 6 + 3x

55% Answer Correctly
x > -1\(\frac{1}{3}\)
x > \(\frac{5}{9}\)
x > -4
x > 2\(\frac{1}{4}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

7x - 3 > 6 + 3x
7x > 6 + 3x + 3
7x - 3x > 6 + 3
4x > 9
x > \( \frac{9}{4} \)
x > 2\(\frac{1}{4}\)