ASVAB Math Knowledge Practice Test 217066 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

If b = 3 and x = -7, what is the value of -4b(b - x)?

68% Answer Correctly
-77
135
-120
98

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.)

-4b(b - x)
-4(3)(3 + 7)
-4(3)(10)
(-12)(10)
-120


2

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

2lw x 2wh + 2lh

h x l x w

h2 x l2 x w2

lw x wh + lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


3

What is 5a + 5a?

81% Answer Correctly
10a
25a2
10
0

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.

5a + 5a = 10a


4

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

\({\Delta y \over \Delta x}\)

slope

y-intercept

x-intercept


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.


5

If angle a = 38° and angle b = 23° what is the length of angle d?

56% Answer Correctly
145°
150°
142°
126°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 38° - 23° = 119°

So, d° = 23° + 119° = 142°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 38° = 142°