ASVAB Math Knowledge Practice Test 111413 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

2(π r2) + 2π rh

4π r2

π r2h

π r2h2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


2

What is 8a + 7a?

81% Answer Correctly
15a
1
56a
15a2

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.

8a + 7a = 15a


3

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

right angle

equal length

equal angle

parallel


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


4

This diagram represents two parallel lines with a transversal. If y° = 160, what is the value of a°?

73% Answer Correctly
20
166
21
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 y° = 160, the value of a° is 20.


5

Solve for c:
-5c - 1 < -6 - 2c

55% Answer Correctly
c < \(\frac{1}{3}\)
c < -2
c < 1\(\frac{2}{3}\)
c < -\(\frac{1}{8}\)

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.

-5c - 1 < -6 - 2c
-5c < -6 - 2c + 1
-5c + 2c < -6 + 1
-3c < -5
c < \( \frac{-5}{-3} \)
c < 1\(\frac{2}{3}\)