ASVAB Math Knowledge Practice Test 489511 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

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

60% Answer Correctly

supplementary, vertical

acute, obtuse

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).


2

Find the value of b:
9b + x = 8
-8b + 8x = -6

42% Answer Correctly
\(\frac{7}{8}\)
-\(\frac{8}{15}\)
\(\frac{1}{2}\)
2\(\frac{5}{17}\)

Solution

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

9b + x = 8
x = 8 - 9b

then substitute the result (8 - 9b) into the second equation:

-8b + 8(8 - 9b) = -6
-8b + (8 x 8) + (8 x -9b) = -6
-8b + 64 - 72b = -6
-8b - 72b = -6 - 64
-80b = -70
b = \( \frac{-70}{-80} \)
b = \(\frac{7}{8}\)


3

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

65% Answer Correctly
-19ab2
-19a2b
50ab2
31a2b

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)(3ab) + (5a2)(5b)
(2 x 3)(a x a x b) + (5 x 5)(a2 x b)
(6)(a1+1 x b) + (25)(a2b)
6a2b + 25a2b
31a2b


4

What is 8a + 4a?

81% Answer Correctly
a2
4
12a
32a

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

8a + 4a = 12a


5

What is the circumference of a circle with a radius of 6?

71% Answer Correctly
19π
12π

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 * 6)
c = 12π