ASVAB Math Knowledge Practice Test 913463 Results

Your Results Global Average
Questions 5 5
Correct 0 3.59
Score 0% 72%

Review

1

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

78% Answer Correctly

a = π r

a = π r2

a = π d

a = 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.


2

A right angle measures:

91% Answer Correctly

360°

45°

180°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


3

Which of the following statements about math operations is incorrect?

71% Answer Correctly

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

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

all of these statements are correct

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.


4

Solve for x:
3x + 5 = \( \frac{x}{9} \)

46% Answer Correctly
-1\(\frac{3}{5}\)
-1\(\frac{17}{19}\)
-1\(\frac{1}{8}\)
-1\(\frac{19}{26}\)

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 equal sign and the answer on the other.

3x + 5 = \( \frac{x}{9} \)
9 x (3x + 5) = x
(9 x 3x) + (9 x 5) = x
27x + 45 = x
27x + 45 - x = 0
27x - x = -45
26x = -45
x = \( \frac{-45}{26} \)
x = -1\(\frac{19}{26}\)


5

On this circle, line segment AB is the:

72% Answer Correctly

chord

diameter

circumference

radius


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).