ASVAB Math Knowledge Practice Test 622468 Results

Your Results Global Average
Questions 5 5
Correct 0 2.99
Score 0% 60%

Review

1

Solve for y:
6y + 1 < \( \frac{y}{-4} \)

44% Answer Correctly
y < -2\(\frac{4}{5}\)
y < 1\(\frac{11}{14}\)
y < -\(\frac{4}{25}\)
y < \(\frac{4}{5}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

6y + 1 < \( \frac{y}{-4} \)
-4 x (6y + 1) < y
(-4 x 6y) + (-4 x 1) < y
-24y - 4 < y
-24y - 4 - y < 0
-24y - y < 4
-25y < 4
y < \( \frac{4}{-25} \)
y < -\(\frac{4}{25}\)


2

The dimensions of this cube are height (h) = 2, length (l) = 6, and width (w) = 1. What is the volume?

83% Answer Correctly
108
12
288
60

Solution

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

v = h x l x w
v = 2 x 6 x 1
v = 12


3

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

42% Answer Correctly

y-intercept

x-intercept

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

slope


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.


4

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

equal length

right angle

equal angle

parallel


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


5

Simplify (4a)(2ab) - (9a2)(6b).

62% Answer Correctly
62ab2
90ab2
-46a2b
46ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(4a)(2ab) - (9a2)(6b)
(4 x 2)(a x a x b) - (9 x 6)(a2 x b)
(8)(a1+1 x b) - (54)(a2b)
8a2b - 54a2b
-46a2b