ASVAB Math Knowledge Practice Test 727869 Results

Your Results Global Average
Questions 5 5
Correct 0 3.62
Score 0% 72%

Review

1

Simplify (2a)(7ab) + (5a2)(3b).

65% Answer Correctly
ab2
29a2b
72a2b
-a2b

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.

(2a)(7ab) + (5a2)(3b)
(2 x 7)(a x a x b) + (5 x 3)(a2 x b)
(14)(a1+1 x b) + (15)(a2b)
14a2b + 15a2b
29a2b


2

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

77% Answer Correctly

a = π d

a = π d2

a = π r2

a = π r


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

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

acute, obtuse

supplementary, vertical

obtuse, acute

vertical, supplementary


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


4

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

addition

pairs

exponents

division


Solution

When solving an equation with two variables, 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.)


5

What is the area of a circle with a diameter of 4?

69% Answer Correctly

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π