ASVAB Math Knowledge Practice Test 210649 Results

Your Results Global Average
Questions 5 5
Correct 0 2.83
Score 0% 57%

Review

1

A right angle measures:

90% Answer Correctly

45°

360°

180°

90°


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

Find the value of b:
-8b + y = -7
3b - 8y = -4

42% Answer Correctly
\(\frac{1}{11}\)
\(\frac{60}{61}\)
1\(\frac{3}{40}\)
2\(\frac{5}{34}\)

Solution

You need to find the value of b so solve the first equation in terms of y:

-8b + y = -7
y = -7 + 8b

then substitute the result (-7 - -8b) into the second equation:

3b - 8(-7 + 8b) = -4
3b + (-8 x -7) + (-8 x 8b) = -4
3b + 56 - 64b = -4
3b - 64b = -4 - 56
-61b = -60
b = \( \frac{-60}{-61} \)
b = \(\frac{60}{61}\)


3

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

2lw x 2wh + 2lh

h x l x w

lw x wh + lh

h2 x l2 x w2


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


4

Solve for y:
8y + 5 = \( \frac{y}{-6} \)

46% Answer Correctly
2\(\frac{1}{7}\)
-2\(\frac{1}{3}\)
\(\frac{25}{44}\)
-\(\frac{30}{49}\)

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 equal sign and the answer on the other.

8y + 5 = \( \frac{y}{-6} \)
-6 x (8y + 5) = y
(-6 x 8y) + (-6 x 5) = y
-48y - 30 = y
-48y - 30 - y = 0
-48y - y = 30
-49y = 30
y = \( \frac{30}{-49} \)
y = -\(\frac{30}{49}\)


5

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

36% Answer Correctly

all acute angles equal each other

same-side interior angles are complementary and equal each other

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

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


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°).