ASVAB Math Knowledge Practice Test 691617 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.72
Score	0%	54%

Review

Solve for a:
a² - 7a - 29 = -a - 2

48% Answer Correctly

	2 or -7
	6 or -8
	-3 or 9
	9 or -9

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

a² - 7a - 29 = -a - 2
a² - 7a - 29 + 2 = -a
a² - 7a + a - 27 = 0
a² - 6a - 27 = 0

Next, factor the quadratic equation:

a² - 6a - 27 = 0
(a + 3)(a - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 3) or (a - 9) must equal zero:

If (a + 3) = 0, a must equal -3
If (a - 9) = 0, a must equal 9

So the solution is that a = -3 or 9

Solve for x:
x² - 9 = 0

58% Answer Correctly

	6 or 3
	1 or -6
	3 or -4
	3 or -3

Solution

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

x² - 9 = 0
(x - 3)(x + 3) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 3) or (x + 3) must equal zero:

If (x - 3) = 0, x must equal 3
If (x + 3) = 0, x must equal -3

So the solution is that x = 3 or -3

This diagram represents two parallel lines with a transversal. If d° = 154, what is the value of b°?

73% Answer Correctly

	152
	169
	140
	154

Solution

For parallel lines with a transversal, the following relationships apply:

angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with d° = 154, the value of b° is 154.

Solve -3b - 8b = -6b + 9y + 3 for b in terms of y.

34% Answer Correctly

	5\(\frac{2}{3}\)y + 1
	4\(\frac{1}{2}\)y - 1\(\frac{1}{2}\)
	\(\frac{2}{13}\)y - \(\frac{4}{13}\)
	15y + 2

Solution

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

-3b - 8y = -6b + 9y + 3
-3b = -6b + 9y + 3 + 8y
-3b + 6b = 9y + 3 + 8y
3b = 17y + 3
b = \( \frac{17y + 3}{3} \)
b = \( \frac{17y}{3} \) + \( \frac{3}{3} \)
b = 5\(\frac{2}{3}\)y + 1

Which of the following statements about a triangle is not true?

57% Answer Correctly

	exterior angle = sum of two adjacent interior angles
	sum of interior angles = 180°
	perimeter = sum of side lengths
	area = ½bh

Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.