ASVAB Math Knowledge Practice Test 345347 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

On this circle, line segment CD is the:

46% Answer Correctly

radius

diameter

circumference

chord


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 statements about math operations is incorrect?

70% Answer Correctly

you can subtract monomials that have the same variable and the same exponent

you can add monomials that have the same variable and the same exponent

all of these statements are correct

you can multiply monomials that have different variables and different exponents


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


3

Solve for a:
a2 + 8a + 7 = 0

57% Answer Correctly
4 or -5
8 or 8
3 or -8
-1 or -7

Solution

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

a2 + 8a + 7 = 0
(a + 1)(a + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 1) or (a + 7) must equal zero:

If (a + 1) = 0, a must equal -1
If (a + 7) = 0, a must equal -7

So the solution is that a = -1 or -7


4

If angle a = 34° and angle b = 32° what is the length of angle c?

70% Answer Correctly
114°
122°
93°
50°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 34° - 32° = 114°


5

Which of the following expressions contains exactly two terms?

81% Answer Correctly

polynomial

quadratic

binomial

monomial


Solution

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