ASVAB Math Knowledge Practice Test 305704 Results

Your Results Global Average
Questions 5 5
Correct 0 3.53
Score 0% 71%

Review

1

What is 3a2 + 4a2?

75% Answer Correctly
12a2
-a4
7a4
7a2

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.

3a2 + 4a2 = 7a2


2

If a = c = 6, b = d = 8, and the blue angle = 77°, what is the area of this parallelogram?

65% Answer Correctly
48
6
54
36

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 6 x 8
a = 48


3

Simplify 3a x 3b.

86% Answer Correctly
6ab
9a2b2
9\( \frac{b}{a} \)
9ab

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.

3a x 3b = (3 x 3) (a x b) = 9ab


4

The dimensions of this cylinder are height (h) = 1 and radius (r) = 3. What is the volume?

62% Answer Correctly
32π
147π
196π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(32 x 1)
v = 9π


5

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

63% Answer Correctly

the area is length x width

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

the lengths of all sides are equal

all interior angles are right angles


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).