ASVAB Math Knowledge Practice Test 583994 Results

Your Results Global Average
Questions 5 5
Correct 0 3.20
Score 0% 64%

Review

1

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

the area of a parallelogram is base x height

the perimeter of a parallelogram is the sum of the lengths of all sides

opposite sides and adjacent angles are equal

a parallelogram is a quadrilateral


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


2

Which of the following statements about math operations is incorrect?

71% Answer Correctly

you can multiply monomials that have different variables and different exponents

all of these statements are correct

you can subtract monomials that have the same variable and the same exponent

you can add monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


3

The dimensions of this trapezoid are a = 6, b = 4, c = 8, d = 9, and h = 5. What is the area?

51% Answer Correctly
32\(\frac{1}{2}\)
6
10
12

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(4 + 9)(5)
a = ½(13)(5)
a = ½(65) = \( \frac{65}{2} \)
a = 32\(\frac{1}{2}\)


4

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

71% Answer Correctly
36π
16π
14π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 8)
c = 16π


5

What is 7a9 - 3a9?

74% Answer Correctly
4a9
a918
21a18
10

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.

7a9 - 3a9 = 4a9