## 9 terms

### ratio

a comparison of two numbers by division

### equivalent ratios

two ratios that have the same value

### proportion

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.

### inequality

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

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