ASVAB Math Knowledge Practice Test 435689 Results

Your Results Global Average
Questions 5 5
Correct 0 3.08
Score 0% 62%

Review

1

The endpoints of this line segment are at (-2, 3) and (2, -9). What is the slope-intercept equation for this line?

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

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, 3) and (2, -9) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-9.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)
m = -3

Plugging these values into the slope-intercept equation:

y = -3x - 3


2

What is 2a - 9a?

79% Answer Correctly
11
18a
11a2
-7a

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


3

The dimensions of this cube are height (h) = 5, length (l) = 8, and width (w) = 7. What is the volume?

82% Answer Correctly
84
96
280
441

Solution

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

v = h x l x w
v = 5 x 8 x 7
v = 280


4

Find the value of b:
-6b + x = -1
-7b + 8x = 2

42% Answer Correctly
-1\(\frac{32}{45}\)
\(\frac{10}{41}\)
-\(\frac{3}{4}\)
\(\frac{5}{6}\)

Solution

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

-6b + x = -1
x = -1 + 6b

then substitute the result (-1 - -6b) into the second equation:

-7b + 8(-1 + 6b) = 2
-7b + (8 x -1) + (8 x 6b) = 2
-7b - 8 + 48b = 2
-7b + 48b = 2 + 8
41b = 10
b = \( \frac{10}{41} \)
b = \(\frac{10}{41}\)


5

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

63% Answer Correctly

the area is length x width

the lengths of all sides are equal

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

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).