ASVAB Math Knowledge Practice Test 830836 Results

Your Results Global Average
Questions 5 5
Correct 0 3.02
Score 0% 60%

Review

1

If angle a = 43° and angle b = 37° what is the length of angle c?

71% Answer Correctly
129°
100°
87°
99°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 43° - 37° = 100°


2

If a = c = 3, b = d = 4, what is the area of this rectangle?

80% Answer Correctly
4
12
32
7

Solution

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

a = l x w
a = a x b
a = 3 x 4
a = 12


3

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

42% Answer Correctly

y-intercept

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

x-intercept

slope


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

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

all of the angles formed by a transversal are called interior angles

angles in the same position on different parallel lines are called corresponding angles

same-side interior angles are complementary and equal each other

all acute angles equal each other


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


5

What is 2a2 - 3a2?

74% Answer Correctly
6a4
-1a2
-1
5

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.

2a2 - 3a2 = -1a2