a comparison of two numbers by division
two ratios that have the same value
an equation stating that two ratios are equal. Their cross products are equal.
steps to solve multi-step equations
1) Simplify both sides of the equation if possible. 2) Undo addition/subtraction using inverse operations. 3) Und multiplication/division using inverse operations. 4) Check your solution by substituting it into the original equation.
a statement formed by placing an inequality symbol (>, <, ≥, ≤ ) between two expressions
>, <, ≥ ,≤ and ≠
solution to an inequality
numbers that you can substitute for the variable to make the inequality true
Rule #1: Multiplying and Dividing Inequalities
If you multiply or divide both sides of an inequlity by the same POSITIVE number the inequality symbol remains the SAME
Rule #2: Multiplying and Dividing Inequalities
If you multiply or divide an inequality byt the same NEGATIVE number the inequality sign REVERSES