ASVAB Math Knowledge Practice Test 568605 Results

Your Results Global Average
Questions 5 5
Correct 0 2.76
Score 0% 55%

Review

1

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

54% Answer Correctly

isosceles and right

equilateral, isosceles and right

equilateral and right

equilateral and isosceles


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.


2

The dimensions of this cube are height (h) = 1, length (l) = 8, and width (w) = 4. What is the surface area?

51% Answer Correctly
286
148
168
88

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 8 x 4) + (2 x 4 x 1) + (2 x 8 x 1)
sa = (64) + (8) + (16)
sa = 88


3

What is 4a - 3a?

80% Answer Correctly
a2
12a
12a2
1a

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.

4a - 3a = 1a


4

If angle a = 37° and angle b = 40° what is the length of angle d?

56% Answer Correctly
136°
143°
130°
142°

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° - 37° - 40° = 103°

So, d° = 40° + 103° = 143°

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° - 37° = 143°


5

Solve 9a + a = 2a + x + 4 for a in terms of x.

34% Answer Correctly
-x - 6
-\(\frac{1}{7}\)x - 1
x + \(\frac{4}{7}\)
-5x + 2\(\frac{2}{3}\)

Solution

To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

9a + x = 2a + x + 4
9a = 2a + x + 4 - x
9a - 2a = x + 4 - x
7a = + 4
a = \( \frac{ + 4}{7} \)
a = \( \frac{}{7} \) + \( \frac{4}{7} \)
a = x + \(\frac{4}{7}\)