ASVAB Math Knowledge Practice Test 255825 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.59
Score	0%	72%

Review

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

	squaring
	factoring
	normalizing
	deconstructing

Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

	5
	4
	3
	2

Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.

Solve for z:
z - 5 = \( \frac{z}{3} \)

46% Answer Correctly

	1\(\frac{6}{29}\)
	7\(\frac{1}{2}\)
	\(\frac{12}{17}\)
	-\(\frac{14}{17}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

z - 5 = \( \frac{z}{3} \)
3 x (z - 5) = z
(3 x z) + (3 x -5) = z
3z - 15 = z
3z - 15 - z = 0
3z - z = 15
2z = 15
z = \( \frac{15}{2} \)
z = 7\(\frac{1}{2}\)

If AD = 13 and BD = 9, AB = ?

76% Answer Correctly

	8
	4
	16
	10

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 = 13 - 9
AB = 4

If b = -9 and y = 5, what is the value of 4b(b - y)?

69% Answer Correctly

	18
	-15
	504
	220

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

4b(b - y)
4(-9)(-9 - 5)
4(-9)(-14)
(-36)(-14)
504