ASVAB Math Knowledge Practice Test 255306 Results

Your Results Global Average
Questions 5 5
Correct 0 2.81
Score 0% 56%

Review

1

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

44% Answer Correctly
a > 3\(\frac{3}{11}\)
a > -\(\frac{4}{5}\)
a > -2\(\frac{9}{13}\)
a > \(\frac{18}{73}\)

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.

-3a + 9 > \( \frac{a}{-4} \)
-4 x (-3a + 9) > a
(-4 x -3a) + (-4 x 9) > a
12a - 36 > a
12a - 36 - a > 0
12a - a > 36
11a > 36
a > \( \frac{36}{11} \)
a > 3\(\frac{3}{11}\)


2

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral and isosceles

isosceles and right

equilateral and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


3

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

42% Answer Correctly

y-intercept

x-intercept

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

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 expressions contains exactly two terms?

83% Answer Correctly

monomial

binomial

quadratic

polynomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


5

If angle a = 61° and angle b = 56° what is the length of angle d?

56% Answer Correctly
158°
128°
114°
119°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 61° - 56° = 63°

So, d° = 56° + 63° = 119°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 61° = 119°