ASVAB Math Knowledge Practice Test 868488 Results

Your Results Global Average
Questions 5 5
Correct 0 3.08
Score 0% 62%

Review

1

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

77% Answer Correctly

a = π d

a = π r

a = π r2

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

Simplify (4a)(3ab) + (7a2)(2b).

65% Answer Correctly
2a2b
-2a2b
26a2b
63a2b

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.

(4a)(3ab) + (7a2)(2b)
(4 x 3)(a x a x b) + (7 x 2)(a2 x b)
(12)(a1+1 x b) + (14)(a2b)
12a2b + 14a2b
26a2b


3

On this circle, line segment CD is the:

46% Answer Correctly

radius

chord

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).


4

Solve for b:
2b - 7 < -9 - b

55% Answer Correctly
b < -\(\frac{2}{3}\)
b < 4
b < -\(\frac{1}{2}\)
b < 2\(\frac{2}{3}\)

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.

2b - 7 < -9 - b
2b < -9 - b + 7
2b + b < -9 + 7
3b < -2
b < \( \frac{-2}{3} \)
b < -\(\frac{2}{3}\)


5

If a = c = 3, b = d = 4, and the blue angle = 69°, what is the area of this parallelogram?

65% Answer Correctly
16
12
48
40

Solution

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

a = l x w
a = a x b
a = 3 x 4
a = 12