ASVAB Math Knowledge Practice Test 698674 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

This diagram represents two parallel lines with a transversal. If b° = 144, what is the value of x°?

72% Answer Correctly
166
143
144
162

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 b° = 144, the value of x° is 144.


2

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

53% Answer Correctly

isosceles and right

equilateral, 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.


3

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

triangle

quadrilateral

trapezoid

rhombus


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


4

What is 5a + 6a?

80% Answer Correctly
30a2
11a
11a2
a2

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.

5a + 6a = 11a


5

Solve for z:
-z - 4 > 9 + 5z

54% Answer Correctly
z > -1\(\frac{1}{2}\)
z > 4
z > -5
z > -2\(\frac{1}{6}\)

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.

-z - 4 > 9 + 5z
-z > 9 + 5z + 4
-z - 5z > 9 + 4
-6z > 13
z > \( \frac{13}{-6} \)
z > -2\(\frac{1}{6}\)