ASVAB Math Knowledge Practice Test 746366 Results

Your Results Global Average
Questions 5 5
Correct 0 2.49
Score 0% 50%

Review

1

Which of the following statements about math operations is incorrect?

71% Answer Correctly

you can multiply monomials that have different variables and different exponents

you can subtract monomials that have the same variable and the same exponent

all of these statements are correct

you can add monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


2

The dimensions of this cylinder are height (h) = 7 and radius (r) = 6. What is the surface area?

48% Answer Correctly
288π
144π
30π
156π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 7)
sa = 2π(36) + 2π(42)
sa = (2 x 36)π + (2 x 42)π
sa = 72π + 84π
sa = 156π


3

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

36% Answer Correctly

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

all acute angles equal each other

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


4

Solve for y:
-y + 2 < \( \frac{y}{-8} \)

45% Answer Correctly
y < 2\(\frac{2}{7}\)
y < -1\(\frac{3}{5}\)
y < -1\(\frac{5}{13}\)
y < -\(\frac{20}{39}\)

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.

-y + 2 < \( \frac{y}{-8} \)
-8 x (-y + 2) < y
(-8 x -y) + (-8 x 2) < y
8y - 16 < y
8y - 16 - y < 0
8y - y < 16
7y < 16
y < \( \frac{16}{7} \)
y < 2\(\frac{2}{7}\)


5

If the length of AB equals the length of BD, point B __________ this line segment.

46% Answer Correctly

trisects

bisects

midpoints

intersects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.