ASVAB Math Knowledge Practice Test 955036 Results

Your Results Global Average
Questions 5 5
Correct 0 3.51
Score 0% 70%

Review

1

This diagram represents two parallel lines with a transversal. If c° = 21, what is the value of z°?

73% Answer Correctly
21
36
156
155

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 c° = 21, the value of z° is 21.


2

Solve for x:
x2 - 10x + 16 = 0

58% Answer Correctly
-5 or -9
9 or 2
2 or 8
8 or -5

Solution

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

x2 - 10x + 16 = 0
(x - 2)(x - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x - 8) must equal zero:

If (x - 2) = 0, x must equal 2
If (x - 8) = 0, x must equal 8

So the solution is that x = 2 or 8


3

Which of the following expressions contains exactly two terms?

82% Answer Correctly

monomial

polynomial

quadratic

binomial


Solution

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


4

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

83% Answer Correctly

Last

First

Inside

Odd


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.


5

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

51% Answer Correctly

rhombus

triangle

trapezoid

quadrilateral


Solution

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