ASVAB Math Knowledge Practice Test 136587 Results

Your Results Global Average
Questions 5 5
Correct 0 3.19
Score 0% 64%

Review

1

Solve for b:
b2 - 7b - 8 = 0

58% Answer Correctly
4 or 1
8 or 2
8 or 7
-1 or 8

Solution

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

b2 - 7b - 8 = 0
(b + 1)(b - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 1) or (b - 8) must equal zero:

If (b + 1) = 0, b must equal -1
If (b - 8) = 0, b must equal 8

So the solution is that b = -1 or 8


2

Order the following types of angle from least number of degrees to most number of degrees.

75% Answer Correctly

acute, obtuse, right

acute, right, obtuse

right, obtuse, acute

right, acute, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


3

Simplify (3a)(7ab) + (8a2)(2b).

65% Answer Correctly
5ab2
-5a2b
37a2b
-5ab2

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)(7ab) + (8a2)(2b)
(3 x 7)(a x a x b) + (8 x 2)(a2 x b)
(21)(a1+1 x b) + (16)(a2b)
21a2b + 16a2b
37a2b


4

What is the area of a circle with a diameter of 6?

70% Answer Correctly
16π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π


5

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

a parallelogram is a quadrilateral

opposite sides and adjacent angles are equal


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).