ASVAB Math Knowledge Practice Test 673188 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

Simplify (6a)(4ab) - (8a2)(8b).

62% Answer Correctly
88a2b
160a2b
-40a2b
40ab2

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.

(6a)(4ab) - (8a2)(8b)
(6 x 4)(a x a x b) - (8 x 8)(a2 x b)
(24)(a1+1 x b) - (64)(a2b)
24a2b - 64a2b
-40a2b


2

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

78% Answer Correctly

a = π r

a = π d

a = π d2

a = π r2


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

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

36% Answer Correctly

all acute angles equal each other

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

same-side interior angles are complementary and equal each other

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


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°).


4

What is 4a7 - 3a7?

74% Answer Correctly
12a14
7
1a7
a14

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.

4a7 - 3a7 = 1a7


5

If a = 5, b = 8, c = 8, and d = 6, what is the perimeter of this quadrilateral?

88% Answer Correctly
15
27
17
19

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 5 + 8 + 8 + 6
p = 27