ASVAB Math Knowledge Practice Test 169988 Results

Your Results Global Average
Questions 5 5
Correct 0 3.49
Score 0% 70%

Review

1

A(n) __________ is two expressions separated by an equal sign.

77% Answer Correctly

problem

equation

expression

formula


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.


2

This diagram represents two parallel lines with a transversal. If d° = 170, what is the value of b°?

73% Answer Correctly
37
170
16
24

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 d° = 170, the value of b° is 170.


3

What is 7a + 8a?

81% Answer Correctly
56a2
15a
a2
56a

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.

7a + 8a = 15a


4

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral, isosceles and right

isosceles and right

equilateral and right

equilateral and isosceles


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


5

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

62% Answer Correctly
256π
48π
147π
294π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(72 x 6)
v = 294π