ASVAB Math Knowledge Practice Test 65192 Results

Your Results Global Average
Questions 5 5
Correct 0 2.77
Score 0% 55%

Review

1

On this circle, line segment AB is the:

71% Answer Correctly

chord

circumference

radius

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


2

Solve -3a + 2a = 3a + 3y - 1 for a in terms of y.

34% Answer Correctly
1\(\frac{2}{3}\)y + \(\frac{1}{3}\)
-\(\frac{9}{11}\)y + \(\frac{7}{11}\)
\(\frac{2}{3}\)y - \(\frac{2}{9}\)
-\(\frac{1}{6}\)y + \(\frac{1}{6}\)

Solution

To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

-3a + 2y = 3a + 3y - 1
-3a = 3a + 3y - 1 - 2y
-3a - 3a = 3y - 1 - 2y
-6a = y - 1
a = \( \frac{y - 1}{-6} \)
a = \( \frac{y}{-6} \) + \( \frac{-1}{-6} \)
a = -\(\frac{1}{6}\)y + \(\frac{1}{6}\)


3

Find the value of c:
-9c + x = -5
c + 4x = 2

42% Answer Correctly
-2\(\frac{13}{22}\)
\(\frac{22}{37}\)
3\(\frac{11}{21}\)
-1\(\frac{1}{48}\)

Solution

You need to find the value of c so solve the first equation in terms of x:

-9c + x = -5
x = -5 + 9c

then substitute the result (-5 - -9c) into the second equation:

c + 4(-5 + 9c) = 2
c + (4 x -5) + (4 x 9c) = 2
c - 20 + 36c = 2
c + 36c = 2 + 20
37c = 22
c = \( \frac{22}{37} \)
c = \(\frac{22}{37}\)


4

What is the circumference of a circle with a radius of 6?

71% Answer Correctly
12π

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 * 6)
c = 12π


5

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

58% Answer Correctly

exterior angle = sum of two adjacent interior angles

area = ½bh

sum of interior angles = 180°

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.