ASVAB Math Knowledge Practice Test 395707 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

If a = 6, b = 6, c = 6, and d = 8, what is the perimeter of this quadrilateral?

88% Answer Correctly
19
25
16
26

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 6 + 6 + 6 + 8
p = 26


2

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

all of the angles formed by a transversal are called interior angles

all acute angles equal each other

angles in the same position on different parallel lines are called corresponding angles

same-side interior angles are complementary and equal each other


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


3

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 + a2

c - a

a2 - c2

c2 - a2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


4

What is 5a - 9a?

80% Answer Correctly
45a
-4a
14a2
a2

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.

5a - 9a = -4a


5

Simplify (9a)(6ab) + (3a2)(4b).

66% Answer Correctly
42ab2
42a2b
66a2b
-42ab2

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.

(9a)(6ab) + (3a2)(4b)
(9 x 6)(a x a x b) + (3 x 4)(a2 x b)
(54)(a1+1 x b) + (12)(a2b)
54a2b + 12a2b
66a2b