## ASVAB Math Knowledge Practice Test 829883

 Questions 5 Topics Factoring Quadratics, Inequalities, Operations Involving Monomials, Pythagorean Theorem

#### Study Guide

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

###### Inequalities

Solving equations with an inequality (<, >) uses the same process as solving equations with an equal sign. Isolate the variable that you're solving for on one wide of the equation and put everything else on the other side. The only difference is that your answer will be expressed as an inequality (x > 5) and not as an equality (x = 5).

###### Operations Involving Monomials

You can only add or subtract monomials that have the same variable and the same exponent. However, you can multiply and divide monomials with unlike terms.

###### Pythagorean Theorem

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, $$c = \sqrt{a + b}$$