ASVAB Math Knowledge Practice Test 223616 Results

Your Results Global Average
Questions 5 5
Correct 0 3.32
Score 0% 66%

Review

1

If a = c = 1, b = d = 3, what is the area of this rectangle?

80% Answer Correctly
3
63
24
12

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 1 x 3
a = 3


2

What is 6a3 + 5a3?

75% Answer Correctly
30a6
11a3
1
a6

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.

6a3 + 5a3 = 11a3


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 area is length x width

the lengths of all sides are equal

all interior angles are right angles


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, line segment AB is the:

71% Answer Correctly

chord

circumference

diameter

radius


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

The endpoints of this line segment are at (-2, -4) and (2, 0). What is the slope-intercept equation for this line?

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

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 -2. 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, -4) and (2, 0) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)
m = 1

Plugging these values into the slope-intercept equation:

y = x - 2