ASVAB Math Knowledge Practice Test 994674 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

The endpoints of this line segment are at (-2, -1) and (2, 1). What is the slope of this line?

46% Answer Correctly
-\(\frac{1}{2}\)
\(\frac{1}{2}\)
-3
-2

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -1) and (2, 1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)
m = \(\frac{1}{2}\)


2

Simplify (6a)(6ab) + (5a2)(2b).

65% Answer Correctly
26ab2
84ab2
-26a2b
46a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(6a)(6ab) + (5a2)(2b)
(6 x 6)(a x a x b) + (5 x 2)(a2 x b)
(36)(a1+1 x b) + (10)(a2b)
36a2b + 10a2b
46a2b


3

This diagram represents two parallel lines with a transversal. If w° = 13, what is the value of y°?

72% Answer Correctly
167
30
159
27

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • 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°)

Applying these relationships starting with w° = 13, the value of y° is 167.


4

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the lengths of all sides are equal

all interior angles are right angles

the perimeter is the sum of the lengths of all four sides

the area is length x width


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


5

If angle a = 69° and angle b = 25° what is the length of angle c?

70% Answer Correctly
60°
86°
102°
84°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 69° - 25° = 86°