ASVAB Math Knowledge Practice Test 93985 Results

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

Review

1

If a = c = 1, b = d = 3, what is the area of this rectangle?

80% Answer Correctly
18
8
3
54

Solution

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

a = l x w
a = a x b
a = 1 x 3
a = 3


2

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

normalizing

squaring

deconstructing

factoring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


3

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

x-intercept

\({\Delta y \over \Delta x}\)

slope

y-intercept


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.


4

Simplify (y - 3)(y + 6)

64% Answer Correctly
y2 - 3y - 18
y2 + 3y - 18
y2 - 9y + 18
y2 + 9y + 18

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 - 3)(y + 6)
(y x y) + (y x 6) + (-3 x y) + (-3 x 6)
y2 + 6y - 3y - 18
y2 + 3y - 18


5

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

61% Answer Correctly

supplementary, vertical

acute, obtuse

obtuse, acute

vertical, supplementary


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).