ASVAB Math Knowledge Practice Test 143208 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.51
Score	0%	70%

Review

Solve for b:
b² + 7b + 30 = -4b + 2

49% Answer Correctly

	2 or -7
	-4 or -7
	8 or 3
	2 or -8

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:

b² + 7b + 30 = -4b + 2
b² + 7b + 30 - 2 = -4b
b² + 7b + 4b + 28 = 0
b² + 11b + 28 = 0

Next, factor the quadratic equation:

b² + 11b + 28 = 0
(b + 4)(b + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 4) or (b + 7) must equal zero:

If (b + 4) = 0, b must equal -4
If (b + 7) = 0, b must equal -7

So the solution is that b = -4 or -7

If BD = 12 and AD = 15, AB = ?

76% Answer Correctly

	6
	3
	12
	9

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 15 - 12
AB = 3

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

	lw x wh + lh
	h² x l² x w²
	2lw x 2wh + 2lh
	h x l x w

Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.

Simplify 4a x 7b.

86% Answer Correctly

	28\( \frac{b}{a} \)
	28a²b²
	11ab
	28ab

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.

4a x 7b = (4 x 7) (a x b) = 28ab

If angle a = 28° and angle b = 63° what is the length of angle c?

71% Answer Correctly

	133°
	81°
	123°
	89°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 28° - 63° = 89°