ASVAB Math Knowledge Practice Test 162454 Results

Your Results Global Average
Questions 5 5
Correct 0 2.93
Score 0% 59%

Review

1

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

60% Answer Correctly

acute, obtuse

obtuse, acute

vertical, supplementary

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).


2

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

49% Answer Correctly

the perimeter of a parallelogram is the sum of the lengths of all sides

the area of a parallelogram is base x height

opposite sides and adjacent angles are equal

a parallelogram is a quadrilateral


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


3

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

normalizing

factoring

squaring

deconstructing


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


4

Solve for b:
7b + 9 < -7 - 7b

54% Answer Correctly
b < 1\(\frac{1}{6}\)
b < -1\(\frac{1}{7}\)
b < \(\frac{1}{6}\)
b < -\(\frac{2}{3}\)

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.

7b + 9 < -7 - 7b
7b < -7 - 7b - 9
7b + 7b < -7 - 9
14b < -16
b < \( \frac{-16}{14} \)
b < -1\(\frac{1}{7}\)


5

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

53% Answer Correctly

isosceles and right

equilateral, isosceles and right

equilateral and isosceles

equilateral and right


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.