ASVAB Math Knowledge Practice Test 655730 Results

Your Results Global Average
Questions 5 5
Correct 0 3.01
Score 0% 60%

Review

1

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

46% Answer Correctly

chord

radius

diameter

circumference


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?

81% Answer Correctly

monomial

polynomial

binomial

quadratic


Solution

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


3

On this circle, line segment AB is the:

70% Answer Correctly

radius

chord

circumference

diameter


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).


4

Simplify (2a)(4ab) - (6a2)(4b).

59% Answer Correctly
32a2b
60ab2
60a2b
-16a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(2a)(4ab) - (6a2)(4b)
(2 x 4)(a x a x b) - (6 x 4)(a2 x b)
(8)(a1+1 x b) - (24)(a2b)
8a2b - 24a2b
-16a2b


5

Find the value of a:
9a + y = -2
8a - 8y = -2

41% Answer Correctly
-\(\frac{1}{2}\)
7
-\(\frac{9}{40}\)
-2\(\frac{9}{40}\)

Solution

You need to find the value of a so solve the first equation in terms of y:

9a + y = -2
y = -2 - 9a

then substitute the result (-2 - 9a) into the second equation:

8a - 8(-2 - 9a) = -2
8a + (-8 x -2) + (-8 x -9a) = -2
8a + 16 + 72a = -2
8a + 72a = -2 - 16
80a = -18
a = \( \frac{-18}{80} \)
a = -\(\frac{9}{40}\)