ASVAB Math Knowledge Practice Test 837633 Results

Your Results Global Average
Questions 5 5
Correct 0 2.81
Score 0% 56%

Review

1

Simplify (8a)(6ab) - (9a2)(5b).

62% Answer Correctly
196ab2
3a2b
-3ab2
93a2b

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.

(8a)(6ab) - (9a2)(5b)
(8 x 6)(a x a x b) - (9 x 5)(a2 x b)
(48)(a1+1 x b) - (45)(a2b)
48a2b - 45a2b
3a2b


2

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

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

If the base of this triangle is 3 and the height is 4, what is the area?

59% Answer Correctly
6
45
44
48

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 3 x 4 = \( \frac{12}{2} \) = 6


4

What is the circumference of a circle with a diameter of 8?

71% Answer Correctly
18π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 8π


5

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

triangle

rhombus

trapezoid

quadrilateral


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.