ASVAB Math Knowledge Practice Test 404434 Results

Your Results Global Average
Questions 5 5
Correct 0 3.41
Score 0% 68%

Review

1

Simplify (9a)(2ab) + (6a2)(4b).

65% Answer Correctly
-6ab2
110ab2
6a2b
42a2b

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)(2ab) + (6a2)(4b)
(9 x 2)(a x a x b) + (6 x 4)(a2 x b)
(18)(a1+1 x b) + (24)(a2b)
18a2b + 24a2b
42a2b


2

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

all interior angles are right angles

the area is length x width

the lengths of all sides are equal

the perimeter is the sum of the lengths of all four sides


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


3

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

4

3

2

5


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


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

supplementary, vertical

obtuse, acute


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 dimensions of this cylinder are height (h) = 7 and radius (r) = 9. What is the volume?

62% Answer Correctly
567π
72π
243π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(92 x 7)
v = 567π