ASVAB Math Knowledge Practice Test 779345 Results

Your Results Global Average
Questions 5 5
Correct 0 3.55
Score 0% 71%

Review

1

What is 6a - 4a?

79% Answer Correctly
2a2
10a2
2a
24a2

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.

6a - 4a = 2a


2

Factor y2 + 10y + 21

53% Answer Correctly
(y - 3)(y - 7)
(y + 3)(y - 7)
(y + 3)(y + 7)
(y - 3)(y + 7)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 21 as well and sum (Inside, Outside) to equal 10. For this problem, those two numbers are 3 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 10y + 21
y2 + (3 + 7)y + (3 x 7)
(y + 3)(y + 7)


3

If a = 5, b = 2, c = 4, and d = 1, what is the perimeter of this quadrilateral?

88% Answer Correctly
21
15
20
12

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 5 + 2 + 4 + 1
p = 12


4

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

acute, obtuse

vertical, supplementary

obtuse, acute

supplementary, vertical


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).


5

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

76% Answer Correctly

a = π r2

a = π d2

a = π d

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.