ASVAB Math Knowledge Practice Test 727499 Results

Your Results Global Average
Questions 5 5
Correct 0 2.53
Score 0% 51%

Review

1

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

45% Answer Correctly

intersects

trisects

midpoints

bisects


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.


2

If the base of this triangle is 5 and the height is 6, what is the area?

58% Answer Correctly
15
52
65
45

Solution

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

a = ½bh
a = ½ x 5 x 6 = \( \frac{30}{2} \) = 15


3

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r2

c = π d

c = π r

c = π d2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


4

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

you can multiply monomials that have different variables and different exponents


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.


5

Solve for c:
-7c + 4 < -9 + 4c

54% Answer Correctly
c < 3\(\frac{1}{2}\)
c < -\(\frac{5}{9}\)
c < 1\(\frac{2}{11}\)
c < \(\frac{2}{3}\)

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.

-7c + 4 < -9 + 4c
-7c < -9 + 4c - 4
-7c - 4c < -9 - 4
-11c < -13
c < \( \frac{-13}{-11} \)
c < 1\(\frac{2}{11}\)