ASVAB Math Knowledge Practice Test 468175 Results

Your Results Global Average
Questions 5 5
Correct 0 3.25
Score 0% 65%

Review

1

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

Inside

First

Odd

Last


Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.


2

Simplify (6a)(3ab) + (2a2)(2b).

65% Answer Correctly
-14a2b
36a2b
22a2b
36ab2

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.

(6a)(3ab) + (2a2)(2b)
(6 x 3)(a x a x b) + (2 x 2)(a2 x b)
(18)(a1+1 x b) + (4)(a2b)
18a2b + 4a2b
22a2b


3

The endpoints of this line segment are at (-2, 3) and (2, 5). What is the slope-intercept equation for this line?

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

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 4. 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, 5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (3.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)
m = \(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = \(\frac{1}{2}\)x + 4


4

If side x = 9cm, side y = 10cm, and side z = 7cm what is the perimeter of this triangle?

84% Answer Correctly
23cm
28cm
36cm
26cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 9cm + 10cm + 7cm = 26cm


5

The dimensions of this cube are height (h) = 6, length (l) = 7, and width (w) = 2. What is the surface area?

51% Answer Correctly
136
320
180
228

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 7 x 2) + (2 x 2 x 6) + (2 x 7 x 6)
sa = (28) + (24) + (84)
sa = 136