ASVAB Math Knowledge Practice Test 29745 Results

Your Results Global Average
Questions 5 5
Correct 0 3.14
Score 0% 63%

Review

1

If a = c = 9, b = d = 8, what is the area of this rectangle?

80% Answer Correctly
15
32
30
72

Solution

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

a = l x w
a = a x b
a = 9 x 8
a = 72


2

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

chord

radius

circumference

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).


3

Solve for b:
b2 - 51 = 3b + 3

48% Answer Correctly
7 or -5
3 or 1
-6 or 9
6 or 4

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

b2 - 51 = 3b + 3
b2 - 51 - 3 = 3b
b2 - 3b - 54 = 0
b2 - 3b - 54 = 0

Next, factor the quadratic equation:

b2 - 3b - 54 = 0
(b + 6)(b - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 6) or (b - 9) must equal zero:

If (b + 6) = 0, b must equal -6
If (b - 9) = 0, b must equal 9

So the solution is that b = -6 or 9


4

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

supplementary, vertical

vertical, supplementary

obtuse, acute

acute, obtuse


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


5

What is 3a - 5a?

79% Answer Correctly
15a
-2a2
a2
-2a

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.

3a - 5a = -2a