ASVAB Math Knowledge Practice Test 16077 Results

Your Results Global Average
Questions 5 5
Correct 0 2.99
Score 0% 60%

Review

1

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

41% Answer Correctly
y = \(\frac{1}{2}\)x - 4
y = -3x + 4
y = 2x + 3
y = -\(\frac{1}{2}\)x + 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, -5) and (2, -3) so the slope becomes:

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

Plugging these values into the slope-intercept equation:

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


2

If a = 9, b = 9, c = 1, and d = 5, what is the perimeter of this quadrilateral?

88% Answer Correctly
24
23
19
22

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 9 + 9 + 1 + 5
p = 24


3

Simplify (6a)(2ab) + (3a2)(8b).

65% Answer Correctly
36a2b
36ab2
88ab2
-12a2b

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)(2ab) + (3a2)(8b)
(6 x 2)(a x a x b) + (3 x 8)(a2 x b)
(12)(a1+1 x b) + (24)(a2b)
12a2b + 24a2b
36a2b


4

Which types of triangles will always have at least two sides of equal length?

53% Answer Correctly

equilateral and isosceles

isosceles and right

equilateral and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


5

Factor y2 - 3y - 40

53% Answer Correctly
(y - 8)(y + 5)
(y - 8)(y - 5)
(y + 8)(y + 5)
(y + 8)(y - 5)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -40 as well and sum (Inside, Outside) to equal -3. For this problem, those two numbers are -8 and 5. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 3y - 40
y2 + (-8 + 5)y + (-8 x 5)
(y - 8)(y + 5)