ASVAB Math Knowledge Practice Test 174976 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.09
Score	0%	62%

Review

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

83% Answer Correctly

	First
	Last
	Odd
	Inside

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 angle a = 67° and angle b = 62° what is the length of angle c?

71% Answer Correctly

	57°
	88°
	51°
	103°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 67° - 62° = 51°

Factor y² + 3y + 2

54% Answer Correctly

	(y + 1)(y + 2)
	(y + 1)(y - 2)
	(y - 1)(y - 2)
	(y - 1)(y + 2)

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 2 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are 1 and 2. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 3y + 2
y² + (1 + 2)y + (1 x 2)
(y + 1)(y + 2)

The endpoints of this line segment are at (-2, -4) and (2, 4). What is the slope-intercept equation for this line?

41% Answer Correctly

	y = x + 1
	y = -\(\frac{1}{2}\)x + 1
	y = -1\(\frac{1}{2}\)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 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, -4) and (2, 4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2

Plugging these values into the slope-intercept equation:

y = 2x + 0

Solve for x:
x² - x - 56 = 0

58% Answer Correctly

	-1 or -4
	-7 or 8
	-2 or -3
	9 or -7

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

x² - x - 56 = 0
(x + 7)(x - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 7) or (x - 8) must equal zero:

If (x + 7) = 0, x must equal -7
If (x - 8) = 0, x must equal 8

So the solution is that x = -7 or 8