ASVAB Math Knowledge Practice Test 440211 Results

Your Results Global Average
Questions 5 5
Correct 0 3.20
Score 0% 64%

Review

1

Simplify (7a)(5ab) - (2a2)(2b).

62% Answer Correctly
39a2b
39ab2
31a2b
48a2b

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.

(7a)(5ab) - (2a2)(2b)
(7 x 5)(a x a x b) - (2 x 2)(a2 x b)
(35)(a1+1 x b) - (4)(a2b)
35a2b - 4a2b
31a2b


2

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.


3

Solve for b:
7b - 4 > 9 + 6b

55% Answer Correctly
b > \(\frac{2}{5}\)
b > 1
b > 13
b > -2

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.

7b - 4 > 9 + 6b
7b > 9 + 6b + 4
7b - 6b > 9 + 4
b > 13


4

What is 8a + 9a?

81% Answer Correctly
17a
-1
72a2
a2

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.

8a + 9a = 17a


5

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

83% Answer Correctly
168
4
90
216

Solution

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

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