ASVAB Math Knowledge Practice Test 674376 Results

Your Results Global Average
Questions 5 5
Correct 0 3.35
Score 0% 67%

Review

1

A right angle measures:

91% Answer Correctly

90°

180°

360°

45°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


2

This diagram represents two parallel lines with a transversal. If d° = 164, what is the value of b°?

73% Answer Correctly
164
13
17
170

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 d° = 164, the value of b° is 164.


3

What is 5a5 + 8a5?

76% Answer Correctly
-3a10
13
13a5
a510

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.

5a5 + 8a5 = 13a5


4

Solve for x:
8x + 8 < \( \frac{x}{1} \)

44% Answer Correctly
x < -1\(\frac{1}{63}\)
x < -2\(\frac{2}{7}\)
x < -1\(\frac{1}{7}\)
x < \(\frac{8}{17}\)

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.

8x + 8 < \( \frac{x}{1} \)
1 x (8x + 8) < x
(1 x 8x) + (1 x 8) < x
8x + 8 < x
8x + 8 - x < 0
8x - x < -8
7x < -8
x < \( \frac{-8}{7} \)
x < -1\(\frac{1}{7}\)


5

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

quadrilateral

rhombus

trapezoid

triangle


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.