ASVAB Math Knowledge Practice Test 653773 Results

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

Review

1

The endpoints of this line segment are at (-2, -3) and (2, -5). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -\(\frac{1}{2}\)x - 4
y = 3x + 3
y = 1\(\frac{1}{2}\)x + 3
y = -3x + 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 -4. 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, -3) and (2, -5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)
m = -\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = -\(\frac{1}{2}\)x - 4


2

Which of the following expressions contains exactly two terms?

82% Answer Correctly

quadratic

polynomial

monomial

binomial


Solution

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


3

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the perimeter is the sum of the lengths of all four sides

the lengths of all sides are equal

all interior angles are right angles

the area is length x width


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


4

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

46% Answer Correctly

radius

chord

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).


5

What is 2a - 9a?

80% Answer Correctly
-7a
a2
-7
18a

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a - 9a = -7a