ASVAB Math Knowledge Practice Test 230529 Results

Your Results Global Average
Questions 5 5
Correct 0 3.34
Score 0% 67%

Review

1

On this circle, a line segment connecting point A to point D is called:

47% Answer Correctly

circumference

chord

diameter

radius


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


2

Which of the following expressions contains exactly two terms?

84% Answer Correctly

quadratic

monomial

polynomial

binomial


Solution

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


3

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

vertical, supplementary

supplementary, vertical

acute, obtuse

obtuse, acute


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


4

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

3

5

2

4


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


5

Solve for z:
z2 - 10z + 44 = 3z + 4

49% Answer Correctly
5 or 8
1 or 1
-1 or -7
7 or 5

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

z2 - 10z + 44 = 3z + 4
z2 - 10z + 44 - 4 = 3z
z2 - 10z - 3z + 40 = 0
z2 - 13z + 40 = 0

Next, factor the quadratic equation:

z2 - 13z + 40 = 0
(z - 5)(z - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 5) or (z - 8) must equal zero:

If (z - 5) = 0, z must equal 5
If (z - 8) = 0, z must equal 8

So the solution is that z = 5 or 8