ASVAB Math Knowledge Practice Test 696114 Results

Your Results Global Average
Questions 5 5
Correct 0 2.61
Score 0% 52%

Review

1

If a = -1 and y = 7, what is the value of 3a(a - y)?

69% Answer Correctly
24
0
-60
224

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

3a(a - y)
3(-1)(-1 - 7)
3(-1)(-8)
(-3)(-8)
24


2

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

24% Answer Correctly

c = π d2

c = π d

c = π r

c = π r2


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.


3

Which of the following statements about math operations is incorrect?

71% Answer Correctly

all of these statements are correct

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

you can multiply monomials that have different variables and different exponents

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.


4

The dimensions of this trapezoid are a = 4, b = 8, c = 6, d = 8, and h = 3. What is the area?

51% Answer Correctly
22\(\frac{1}{2}\)
37\(\frac{1}{2}\)
18
24

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(8 + 8)(3)
a = ½(16)(3)
a = ½(48) = \( \frac{48}{2} \)
a = 24


5

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

46% 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.