ASVAB Math Knowledge Practice Test 831457 Results

Your Results Global Average
Questions 5 5
Correct 0 3.19
Score 0% 64%

Review

1

What is the area of a circle with a radius of 3?

69% Answer Correctly
36π
64π

Solution

The formula for area is πr2:

a = πr2
a = π(32)
a = 9π


2

If angle a = 35° and angle b = 54° what is the length of angle d?

56% Answer Correctly
145°
122°
142°
151°

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° - 35° - 54° = 91°

So, d° = 54° + 91° = 145°

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° - 35° = 145°


3

The endpoints of this line segment are at (-2, -10) and (2, 2). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 3x + 4
y = 3x - 4
y = x - 4
y = 2x + 0

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, -10) and (2, 2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-10.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)
m = 3

Plugging these values into the slope-intercept equation:

y = 3x - 4


4

Simplify (2a)(8ab) - (7a2)(4b).

62% Answer Correctly
44a2b
110a2b
-12a2b
44ab2

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.

(2a)(8ab) - (7a2)(4b)
(2 x 8)(a x a x b) - (7 x 4)(a2 x b)
(16)(a1+1 x b) - (28)(a2b)
16a2b - 28a2b
-12a2b


5

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

exponents

addition

pairs

division


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)