ASVAB Math Knowledge Practice Test 833804 Results

Your Results Global Average
Questions 5 5
Correct 0 3.03
Score 0% 61%

Review

1

On this circle, line segment AB is the:

71% Answer Correctly

chord

radius

circumference

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).


2

Simplify (6a)(3ab) - (7a2)(9b).

62% Answer Correctly
-45a2b
81ab2
45ab2
144a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(6a)(3ab) - (7a2)(9b)
(6 x 3)(a x a x b) - (7 x 9)(a2 x b)
(18)(a1+1 x b) - (63)(a2b)
18a2b - 63a2b
-45a2b


3

What is the circumference of a circle with a radius of 14?

71% Answer Correctly
28π
36π
22π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 14)
c = 28π


4

Solve for b:
-6b + 7 > 9 - b

55% Answer Correctly
b > 1\(\frac{1}{2}\)
b > -\(\frac{2}{5}\)
b > 7
b > -8

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.

-6b + 7 > 9 - b
-6b > 9 - b - 7
-6b + b > 9 - 7
-5b > 2
b > \( \frac{2}{-5} \)
b > -\(\frac{2}{5}\)


5

Find the value of b:
-4b + y = 2
3b - 6y = 4

42% Answer Correctly
-1\(\frac{15}{23}\)
1\(\frac{3}{5}\)
-\(\frac{16}{21}\)
-2\(\frac{1}{7}\)

Solution

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

-4b + y = 2
y = 2 + 4b

then substitute the result (2 - -4b) into the second equation:

3b - 6(2 + 4b) = 4
3b + (-6 x 2) + (-6 x 4b) = 4
3b - 12 - 24b = 4
3b - 24b = 4 + 12
-21b = 16
b = \( \frac{16}{-21} \)
b = -\(\frac{16}{21}\)