ASVAB Math Knowledge Practice Test 155415 Results

Your Results Global Average
Questions 5 5
Correct 0 2.90
Score 0% 58%

Review

1

Solve for b:
9b + 4 > -7 - 4b

55% Answer Correctly
b > -7
b > 1\(\frac{1}{6}\)
b > -\(\frac{3}{4}\)
b > -\(\frac{11}{13}\)

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.

9b + 4 > -7 - 4b
9b > -7 - 4b - 4
9b + 4b > -7 - 4
13b > -11
b > \( \frac{-11}{13} \)
b > -\(\frac{11}{13}\)


2

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can multiply monomials that have different variables and different exponents

you can subtract monomials that have the same variable and the same exponent

all of these statements are correct

you can add monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


3

If the base of this triangle is 7 and the height is 1, what is the area?

58% Answer Correctly
3\(\frac{1}{2}\)
38\(\frac{1}{2}\)
105
84

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 1 = \( \frac{7}{2} \) = 3\(\frac{1}{2}\)


4

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

vertical, supplementary

supplementary, vertical

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).


5

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

midpoints

trisects

bisects

intersects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.