| Term | Definition |
| Variable (p. 6) | A letter or symbol used to represent a value that can change. |
| Constant (p. 6) | A value that does not change. |
| Numerical Expression (p. 6) | Contains only constants and/or operations. |
| Algebraic Expression (p. 6) | Contains variables, constants, and/or operations. |
| Evaluate (p. 7) | To find the value of an expression. |
| Replacement Set (p. 7) | A set of numbers that can be substituted for a variable. |
| Real Numbers (p. 14) | The set of all numbers that can be represented on a number line. |
| Absolute Value (p. 14) | The distance of a number from zero on a number line. |
| Opposites (p. 15) | Two numbers that have the same absolute value but have different signs. |
| Additive Inverse (p. 15) | A number and its opposite that are the same distance from zero. |
| Reciprocal (p. 21) | The product of two numbers that are equal to 1. |
| Multiplicative Inverse (p. 21) | A number and its reciprocal. |
| Power (p. 26) | An expression written with an exponent and a base. |
| Base (p. 26) | The number that is used as a factor. |
| Exponent (p. 26) | The number that indicates how many times the base is used as a factor. |
| Square Root (p. 32) | A number that is multiplied by itself to form a product. |
| Principal Square Root (p. 32) | The positive square root of a number that is represented by √. |
| Perfect Square (p. 32) | A number whose positive square root is a whole number. |
| Cube Root (p. 32) | A number that is raised to the third power to form a product. |
| Natural Numbers (p. 33) | All counting numbers. |
| Whole Numbers (p. 33) | All natural numbers and zero. |
| Integers (p. 33) | All whole numbers and their opposites. |
| Rational Numbers (p. 33) | Numbers that can be expressed in the form a/b, where a and b are both integers and b ≠ 0. |
| Terminating Decimal (p. 33) | Has a finite number of digits after the decimal point. |
| Repeating Decimal (p. 33) | Has a block of one or more digits after the decimal point that repeat continuously. |
| Irrational Numbers (p. 34) | All numbers that are not rational. |
| Counterexample (p. 43) | An example that disproves a statement, or shows that it is false. |
| Closure (p. 44) | A set of numbers is said to be closed under an operation if the result of the operation on any two numbers in the set is also in the set. |
| Order of Operations (p. 48) | Tells you which operation to perform first. |
| Terms (p. 49) | The parts of an expression that are added or subtracted. |
| Like Terms (p. 49) | Terms with the same variables raised to the same exponents. |
| Coefficient (p. 49) | A number multiplied by a variable. |
| Equation (p. 72) | A mathematical statement that two expressions are equal. |
| Solution of an Equation (p. 72) | A value of the variable that makes the equation true. |
| Solution Set (p. 72) | The set of all solutions. |
| Equivalent Equations (p. 79) | Have the same solutions, or the same solution set. |
| Identity (p. 93) | An equation that is always true, no matter what value is substituted for the variable. |
| Ratio (p. 102) | A comparison of two quantities. |
| Proportion (p. 102) | A statement that two ratios are equal. |
| Rate (p. 102) | A ratio of two quantities with different units. |
| Unit Rate (p. 102) | Rate with a second quantity of 1 unit. |
| Cross Products (p. 103) | In the proportion a/b=c/d, the products ad and bc are cross products. |
| Percent (p. 103) | A ratio that compares a number to 100. |
| Scale (p. 104) | A ratio between two sets of measurement. |