ASVAB Math Knowledge Practice Test 397498 Results

Your Results Global Average
Questions 5 5
Correct 0 3.15
Score 0% 63%

Review

1

The dimensions of this cube are height (h) = 5, length (l) = 9, and width (w) = 4. What is the surface area?

51% Answer Correctly
16
48
280
202

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 9 x 4) + (2 x 4 x 5) + (2 x 9 x 5)
sa = (72) + (40) + (90)
sa = 202


2

What is 9a - 2a?

79% Answer Correctly
7
11
7a
11a2

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.

9a - 2a = 7a


3

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

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

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 2. 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, -2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2

Plugging these values into the slope-intercept equation:

y = -2x + 2


4

Simplify 5a x 3b.

85% Answer Correctly
15\( \frac{b}{a} \)
8ab
15\( \frac{a}{b} \)
15ab

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.

5a x 3b = (5 x 3) (a x b) = 15ab


5

If angle a = 23° and angle b = 67° what is the length of angle d?

56% Answer Correctly
149°
157°
140°
150°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 23° - 67° = 90°

So, d° = 67° + 90° = 157°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 23° = 157°