ASVAB Math Knowledge Practice Test 707547 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

Solve for b:
b2 - 6b - 4 = -4b + 4

48% Answer Correctly
8 or 5
-2 or 4
7 or -2
-3 or -5

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 - 6b - 4 = -4b + 4
b2 - 6b - 4 - 4 = -4b
b2 - 6b + 4b - 8 = 0
b2 - 2b - 8 = 0

Next, factor the quadratic equation:

b2 - 2b - 8 = 0
(b + 2)(b - 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 2) or (b - 4) must equal zero:

If (b + 2) = 0, b must equal -2
If (b - 4) = 0, b must equal 4

So the solution is that b = -2 or 4


2

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

obtuse, acute

supplementary, vertical

vertical, supplementary

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).


3

A right angle measures:

90% Answer Correctly

360°

45°

180°

90°


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.


4

Simplify (y + 2)(y + 6)

63% Answer Correctly
y2 + 8y + 12
y2 + 4y - 12
y2 - 8y + 12
y2 - 4y - 12

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 2)(y + 6)
(y x y) + (y x 6) + (2 x y) + (2 x 6)
y2 + 6y + 2y + 12
y2 + 8y + 12


5

On this circle, line segment AB is the:

70% Answer Correctly

chord

radius

diameter

circumference


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).