ASVAB Math Knowledge Practice Test 633471 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

The endpoints of this line segment are at (-2, 5) and (2, -5). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -2\(\frac{1}{2}\)x + 0
y = -2x - 2
y = -1\(\frac{1}{2}\)x + 1
y = -\(\frac{1}{2}\)x - 2

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 0. 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, 5) and (2, -5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = -2\(\frac{1}{2}\)x + 0


2

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).


3

If b = -3 and y = -9, what is the value of -2b(b - y)?

69% Answer Correctly
49
36
-288
-189

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-2b(b - y)
-2(-3)(-3 + 9)
-2(-3)(6)
(6)(6)
36


4

The formula for the area of a circle is which of the following?

78% Answer Correctly

a = π d

a = π r2

a = π r

a = π d2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

Which of the following expressions contains exactly two terms?

83% Answer Correctly

binomial

monomial

polynomial

quadratic


Solution

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