ASVAB Math Knowledge Practice Test 546460 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.33
Score	0%	67%

Review

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

84% Answer Correctly

	Last
	First
	Inside
	Odd

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.

If side a = 6, side b = 3, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly

	\( \sqrt{50} \)
	\( \sqrt{45} \)
	\( \sqrt{82} \)
	\( \sqrt{68} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 6² + 3²
c² = 36 + 9
c² = 45
c = \( \sqrt{45} \)

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

54% Answer Correctly

	equilateral, isosceles and right
	equilateral and isosceles
	equilateral and right
	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.

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

41% Answer Correctly

	y = -\(\frac{1}{2}\)x + 3
	y = x + 0
	y = 3x + 1
	y = -\(\frac{1}{2}\)x + 1

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

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)
m = 1

Plugging these values into the slope-intercept equation:

y = x + 0

If a = 1, b = 6, c = 8, and d = 3, what is the perimeter of this quadrilateral?

88% Answer Correctly

	34
	18
	28
	17

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 1 + 6 + 8 + 3
p = 18