ASVAB Math Knowledge Practice Test 749740 Results

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

Review

1

Solve for b:
9b - 3 > \( \frac{b}{-4} \)

44% Answer Correctly
b > -\(\frac{28}{57}\)
b > -2\(\frac{1}{3}\)
b > \(\frac{12}{37}\)
b > -\(\frac{5}{19}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

9b - 3 > \( \frac{b}{-4} \)
-4 x (9b - 3) > b
(-4 x 9b) + (-4 x -3) > b
-36b + 12 > b
-36b + 12 - b > 0
-36b - b > -12
-37b > -12
b > \( \frac{-12}{-37} \)
b > \(\frac{12}{37}\)


2

On this circle, line segment AB is the:

70% Answer Correctly

chord

circumference

diameter

radius


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).


3

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

57% Answer Correctly

perimeter = sum of side lengths

exterior angle = sum of two adjacent interior angles

area = ½bh

sum of interior angles = 180°


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.


4

Solve for x:
x2 - 5x + 4 = 0

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

Solution

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

x2 - 5x + 4 = 0
(x - 1)(x - 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 1) or (x - 4) must equal zero:

If (x - 1) = 0, x must equal 1
If (x - 4) = 0, x must equal 4

So the solution is that x = 1 or 4


5

A right angle measures:

90% Answer Correctly

90°

45°

360°

180°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.