ASVAB Math Knowledge Practice Test 282558 Results

Your Results Global Average
Questions 5 5
Correct 0 3.27
Score 0% 65%

Review

1

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

87% Answer Correctly

addition

exponents

division

pairs


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


2

Solve -7a + 4a = -8a - 2x - 1 for a in terms of x.

34% Answer Correctly
-\(\frac{10}{11}\)x - \(\frac{6}{11}\)
1\(\frac{6}{7}\)x - 1\(\frac{1}{7}\)
-6x - 1
x + \(\frac{3}{4}\)

Solution

To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

-7a + 4x = -8a - 2x - 1
-7a = -8a - 2x - 1 - 4x
-7a + 8a = -2x - 1 - 4x
a = -6x - 1


3

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

53% Answer Correctly

equilateral and isosceles

equilateral and right

equilateral, isosceles and right

isosceles and right


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.


4

The formula for the area of a circle is which of the following?

76% Answer Correctly

a = π r

a = π d2

a = π d

a = π r2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

This diagram represents two parallel lines with a transversal. If x° = 154, what is the value of d°?

72% Answer Correctly
31
154
40
29

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° = 154, the value of d° is 154.