ASVAB Math Knowledge Practice Test 908785 Results

Your Results Global Average
Questions 5 5
Correct 0 3.15
Score 0% 63%

Review

1

Simplify (3a)(8ab) + (4a2)(8b).

65% Answer Correctly
-8a2b
8ab2
-8ab2
56a2b

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.

(3a)(8ab) + (4a2)(8b)
(3 x 8)(a x a x b) + (4 x 8)(a2 x b)
(24)(a1+1 x b) + (32)(a2b)
24a2b + 32a2b
56a2b


2

The endpoints of this line segment are at (-2, 2) and (2, -8). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 1\(\frac{1}{2}\)x + 1
y = -2\(\frac{1}{2}\)x - 3
y = 2\(\frac{1}{2}\)x - 4
y = 2\(\frac{1}{2}\)x + 3

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -3. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 2) and (2, -8) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-8.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = -2\(\frac{1}{2}\)x - 3


3

Simplify (6a)(3ab) - (5a2)(9b).

62% Answer Correctly
126a2b
-27a2b
27ab2
126ab2

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.

(6a)(3ab) - (5a2)(9b)
(6 x 3)(a x a x b) - (5 x 9)(a2 x b)
(18)(a1+1 x b) - (45)(a2b)
18a2b - 45a2b
-27a2b


4

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

problem

formula

expression

equation


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.


5

On this circle, line segment AB is the:

70% Answer Correctly

diameter

chord

radius

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).