ASVAB Math Knowledge Practice Test 301315 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

Review

1

If a = c = 5, b = d = 6, what is the area of this rectangle?

80% Answer Correctly
12
36
30
16

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 5 x 6
a = 30


2

If side x = 8cm, side y = 10cm, and side z = 15cm what is the perimeter of this triangle?

84% Answer Correctly
39cm
22cm
30cm
33cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 8cm + 10cm + 15cm = 33cm


3

Solve for z:
-8z - 7 > \( \frac{z}{-2} \)

44% Answer Correctly
z > -\(\frac{14}{15}\)
z > -1\(\frac{17}{28}\)
z > -2\(\frac{4}{7}\)
z > -1\(\frac{5}{9}\)

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.

-8z - 7 > \( \frac{z}{-2} \)
-2 x (-8z - 7) > z
(-2 x -8z) + (-2 x -7) > z
16z + 14 > z
16z + 14 - z > 0
16z - z > -14
15z > -14
z > \( \frac{-14}{15} \)
z > -\(\frac{14}{15}\)


4

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

chord

circumference

radius

diameter


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).


5

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

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.