ASVAB Math Knowledge Practice Test 948412 Results

Your Results Global Average
Questions 5 5
Correct 0 2.96
Score 0% 59%

Review

1

Solve for y:
8y + 4 = \( \frac{y}{-6} \)

46% Answer Correctly
-1\(\frac{5}{7}\)
5
\(\frac{9}{82}\)
-\(\frac{24}{49}\)

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 + 4 = \( \frac{y}{-6} \)
-6 x (8y + 4) = y
(-6 x 8y) + (-6 x 4) = y
-48y - 24 = y
-48y - 24 - y = 0
-48y - y = 24
-49y = 24
y = \( \frac{24}{-49} \)
y = -\(\frac{24}{49}\)


2

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

36% Answer Correctly

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

all acute angles equal each other

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

same-side interior angles are complementary and equal each other


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°).


3

The dimensions of this cylinder are height (h) = 4 and radius (r) = 1. What is the surface area?

48% Answer Correctly
60π
96π
40π
10π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 4)
sa = 2π(1) + 2π(4)
sa = (2 x 1)π + (2 x 4)π
sa = 2π + 8π
sa = 10π


4

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

acute, obtuse, right

acute, right, obtuse

right, acute, obtuse

right, obtuse, acute


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


5

A right angle measures:

90% Answer Correctly

360°

180°

90°

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.