ASVAB Math Knowledge Practice Test 329069 Results

Your Results Global Average
Questions 5 5
Correct 0 3.29
Score 0% 66%

Review

1

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°).


2

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

2

5

3

4


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


3

What is the circumference of a circle with a radius of 8?

71% Answer Correctly
38π
16π
13π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 8)
c = 16π


4

What is 4a3 - 9a3?

73% Answer Correctly
-5
13
-5a3
36a6

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.

4a3 - 9a3 = -5a3


5

Solve for a:
-2a - 3 = 5 - 8a

59% Answer Correctly
-\(\frac{2}{5}\)
-\(\frac{2}{9}\)
1\(\frac{1}{3}\)
3\(\frac{1}{2}\)

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.

-2a - 3 = 5 - 8a
-2a = 5 - 8a + 3
-2a + 8a = 5 + 3
6a = 8
a = \( \frac{8}{6} \)
a = 1\(\frac{1}{3}\)