ASVAB Math Knowledge Practice Test 170852 Results

Your Results Global Average
Questions 5 5
Correct 0 2.85
Score 0% 57%

Review

1

If angle a = 60° and angle b = 34° what is the length of angle d?

56% Answer Correctly
156°
118°
136°
120°

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° - 60° - 34° = 86°

So, d° = 34° + 86° = 120°

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° - 60° = 120°


2

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

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

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)
m = -1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = -1\(\frac{1}{2}\)x + 0


3

What is the circumference of a circle with a radius of 17?

70% Answer Correctly
34π
3π
30π
5π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 17)
c = 34π


4

A cylinder with a radius (r) and a height (h) has a surface area of:

52% Answer Correctly

2(π r2) + 2π rh

π r2h2

π r2h

4π r2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


5

Simplify (3a)(2ab) + (9a2)(5b).

65% Answer Correctly
70ab2
51a2b
39a2b
51ab2

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.

(3a)(2ab) + (9a2)(5b)
(3 x 2)(a x a x b) + (9 x 5)(a2 x b)
(6)(a1+1 x b) + (45)(a2b)
6a2b + 45a2b
51a2b