ASVAB Math Knowledge Practice Test 437380 Results

Your Results Global Average
Questions 5 5
Correct 0 2.74
Score 0% 55%

Review

1

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

isosceles and right

equilateral and right

equilateral, isosceles and right

equilateral and isosceles


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


2

The endpoints of this line segment are at (-2, 6) and (2, -2). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 2x + 3
y = -\(\frac{1}{2}\)x - 1
y = -2x + 2
y = 3x - 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 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, 6) and (2, -2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2

Plugging these values into the slope-intercept equation:

y = -2x + 2


3

The dimensions of this cube are height (h) = 4, length (l) = 1, and width (w) = 1. What is the volume?

83% Answer Correctly
360
216
60
4

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 4 x 1 x 1
v = 4


4

Find the value of b:
-6b + x = 8
-3b + 5x = -4

42% Answer Correctly
1\(\frac{22}{53}\)
-1\(\frac{17}{27}\)
-\(\frac{2}{3}\)
-1\(\frac{3}{5}\)

Solution

You need to find the value of b so solve the first equation in terms of x:

-6b + x = 8
x = 8 + 6b

then substitute the result (8 - -6b) into the second equation:

-3b + 5(8 + 6b) = -4
-3b + (5 x 8) + (5 x 6b) = -4
-3b + 40 + 30b = -4
-3b + 30b = -4 - 40
27b = -44
b = \( \frac{-44}{27} \)
b = -1\(\frac{17}{27}\)


5

A cylinder with a radius (r) and a height (h) has a surface area of:

54% Answer Correctly

4π r2

2(π r2) + 2π rh

π r2h

π r2h2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.