ASVAB Math Knowledge Practice Test 356317 Results

Your Results Global Average
Questions 5 5
Correct 0 2.76
Score 0% 55%

Review

1

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

50% Answer Correctly

a parallelogram is a quadrilateral

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

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height


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

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

24% Answer Correctly

c = π r2

c = π d

c = π d2

c = π r


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

Solve for a:
a2 - 49 = 0

58% Answer Correctly
3 or 2
2 or -4
7 or -7
6 or 4

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

a2 - 49 = 0
(a - 7)(a + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 7) or (a + 7) must equal zero:

If (a - 7) = 0, a must equal 7
If (a + 7) = 0, a must equal -7

So the solution is that a = 7 or -7


4

What is 4a - 4a?

80% Answer Correctly
8a2
0a
2
a2

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.

4a - 4a = 0a


5

If a = c = 8, b = d = 2, and the blue angle = 77°, what is the area of this parallelogram?

65% Answer Correctly
15
42
16
21

Solution

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

a = l x w
a = a x b
a = 8 x 2
a = 16