ASVAB Math Knowledge Practice Test 161625 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

Solve for b:
-b - 1 > -2 + 2b

54% Answer Correctly
b > -\(\frac{1}{9}\)
b > \(\frac{5}{7}\)
b > \(\frac{1}{6}\)
b > \(\frac{1}{3}\)

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.

-b - 1 > -2 + 2b
-b > -2 + 2b + 1
-b - 2b > -2 + 1
-3b > -1
b > \( \frac{-1}{-3} \)
b > \(\frac{1}{3}\)


2

This diagram represents two parallel lines with a transversal. If x° = 148, what is the value of a°?

72% Answer Correctly
35
25
159
32

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 x° = 148, the value of a° is 32.


3

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

82% Answer Correctly

Last

Odd

Inside

First


Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.


4

On this circle, line segment AB is the:

70% Answer Correctly

radius

circumference

diameter

chord


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


5

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

52% Answer Correctly

π r2h2

π r2h

2(π r2) + 2π rh

4π r2


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.