ASVAB Math Knowledge Practice Test 432638 Results

Your Results Global Average
Questions 5 5
Correct 0 3.06
Score 0% 61%

Review

1

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

77% Answer Correctly

a = π r2

a = π d2

a = π d

a = π r


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.


2

Which of the following statements about math operations is incorrect?

70% Answer Correctly

all of these statements are correct

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

you can subtract 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.


3

If angle a = 53° and angle b = 31° what is the length of angle c?

71% Answer Correctly
96°
84°
76°
66°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 53° - 31° = 96°


4

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

45% Answer Correctly

midpoints

intersects

bisects

trisects


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.


5

Find the value of c:
7c + y = 2
-2c - 3y = 2

42% Answer Correctly
-\(\frac{11}{15}\)
-2\(\frac{7}{9}\)
-3
\(\frac{8}{19}\)

Solution

You need to find the value of c so solve the first equation in terms of y:

7c + y = 2
y = 2 - 7c

then substitute the result (2 - 7c) into the second equation:

-2c - 3(2 - 7c) = 2
-2c + (-3 x 2) + (-3 x -7c) = 2
-2c - 6 + 21c = 2
-2c + 21c = 2 + 6
19c = 8
c = \( \frac{8}{19} \)
c = \(\frac{8}{19}\)