ASVAB Math Knowledge Practice Test 738988 Results

Your Results Global Average
Questions 5 5
Correct 0 3.87
Score 0% 77%

Review

1

A coordinate grid is composed of which of the following?

89% Answer Correctly

origin

all of these

y-axis

x-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


2

This diagram represents two parallel lines with a transversal. If a° = 13, what is the value of z°?

73% Answer Correctly
155
36
26
13

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 a° = 13, the value of z° is 13.


3

Which of the following expressions contains exactly two terms?

82% Answer Correctly

polynomial

monomial

binomial

quadratic


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


4

Solve for a:
a2 - 2a - 3 = 0

58% Answer Correctly
1 or -5
8 or -3
9 or -4
-1 or 3

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

a2 - 2a - 3 = 0
(a + 1)(a - 3) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 1) or (a - 3) must equal zero:

If (a + 1) = 0, a must equal -1
If (a - 3) = 0, a must equal 3

So the solution is that a = -1 or 3


5

If side x = 5cm, side y = 6cm, and side z = 6cm what is the perimeter of this triangle?

84% Answer Correctly
26cm
36cm
28cm
17cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 5cm + 6cm + 6cm = 17cm