ASVAB Math Knowledge Practice Test 114384 Results

Your Results Global Average
Questions 5 5
Correct 0 3.47
Score 0% 69%

Review

1

If a = c = 3, b = d = 6, what is the area of this rectangle?

80% Answer Correctly
64
54
18
16

Solution

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

a = l x w
a = a x b
a = 3 x 6
a = 18


2

Solve for b:
b2 + 8b - 9 = 0

58% Answer Correctly
5 or -9
1 or -9
-3 or -8
9 or 8

Solution

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

b2 + 8b - 9 = 0
(b - 1)(b + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b + 9) must equal zero:

If (b - 1) = 0, b must equal 1
If (b + 9) = 0, b must equal -9

So the solution is that b = 1 or -9


3

What is 7a + 4a?

81% Answer Correctly
a2
28a
28a2
11a

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.

7a + 4a = 11a


4

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

57% Answer Correctly

sum of interior angles = 180°

area = ½bh

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


5

What is the circumference of a circle with a radius of 4?

71% Answer Correctly
13π
32π
16π

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 * 4)
c = 8π