ASVAB Math Knowledge Practice Test 461192 Results

Your Results Global Average
Questions 5 5
Correct 0 3.05
Score 0% 61%

Review

1

What is 3a - 5a?

79% Answer Correctly
a2
-2a
8
8a2

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.

3a - 5a = -2a


2

What is 6a9 - 7a9?

73% Answer Correctly
-a18
42a9
42a18
-1a9

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.

6a9 - 7a9 = -1a9


3

The endpoints of this line segment are at (-2, -6) and (2, 6). What is the slope-intercept equation for this line?

41% Answer Correctly
y = \(\frac{1}{2}\)x + 4
y = -\(\frac{1}{2}\)x + 1
y = 3x + 0
y = \(\frac{1}{2}\)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 0. 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, -6) and (2, 6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)
m = 3

Plugging these values into the slope-intercept equation:

y = 3x + 0


4

Simplify (y - 2)(y + 2)

63% Answer Correctly
y2 + 4y + 4
y2 - 4
y2 - 4y + 4
71

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:

(y - 2)(y + 2)
(y x y) + (y x 2) + (-2 x y) + (-2 x 2)
y2 + 2y - 2y - 4
y2 - 4


5

The dimensions of this cylinder are height (h) = 1 and radius (r) = 1. What is the surface area?

48% Answer Correctly
120π
104π
80π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 1)
sa = 2π(1) + 2π(1)
sa = (2 x 1)π + (2 x 1)π
sa = 2π + 2π
sa = 4π