ASVAB Math Knowledge Practice Test 827455 Results

Your Results Global Average
Questions 5 5
Correct 0 2.81
Score 0% 56%

Review

1

Find the value of b:
-5b + y = 2
-3b + 5y = -3

41% Answer Correctly
-\(\frac{13}{22}\)
\(\frac{19}{28}\)
-1
1\(\frac{5}{11}\)

Solution

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

-5b + y = 2
y = 2 + 5b

then substitute the result (2 - -5b) into the second equation:

-3b + 5(2 + 5b) = -3
-3b + (5 x 2) + (5 x 5b) = -3
-3b + 10 + 25b = -3
-3b + 25b = -3 - 10
22b = -13
b = \( \frac{-13}{22} \)
b = -\(\frac{13}{22}\)


2

What is 9a7 + 2a7?

74% Answer Correctly
7
7a14
11a7
11a14

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.

9a7 + 2a7 = 11a7


3

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

h2 x l2 x w2

h x l x w

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.


4

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

42% Answer Correctly

x-intercept

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

slope

y-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

Which of the following statements about a triangle is not true?

57% Answer Correctly

exterior angle = sum of two adjacent interior angles

sum of interior angles = 180°

perimeter = sum of side lengths

area = ½bh


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.