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PreAlg C1/C2/C3
PreAlgebra C1/C2/C3
| Term | Definition |
|---|---|
| like terms | Terms of an expression which have the same variables raised to the same exponents |
| simplest form | an expression which has no like terms and no parentheses. |
| linear expression | An algebraic expression in which the exponent of the variable is 1 |
| literal equation | An equation that has two or more variables |
| inequality | A mathematical sentence that compares expressions. |
| solution of an inequality | A value that makes the inequality true |
| solution set | The set of all numbers which make a mathematical statement true |
| graph of an inequality | A graph that shows all the solutions of the inequality on a number line |
| linear equation | An equation whose graph is a line |
| solution of a linear equation | All of the points on a line that make the equation true |
| slope | A ratio of the change in y (the rise) to the change in x (the run) between any two points on a line. It is a measure of the steepness of a line. |
| rise | The change in y between any two points on a line |
| run | The change in x between any two points on a line |
| x-intercept | The x-coordinate of the point where a line crosses the x-axis |
| y-intercept | The y-coordinate of the point where a line crosses the y-axis |
| slope-intercept form | A linear equation written in the form y = mx + b. The slope of the line is m, and the y-intercept of the line is b. |
| standard form | The standard form of a linear equation is ax + by = c, where a and b are not both zero. |
| point-slope form | A linear equation written in the form y − y1 = m(x − x1). The line passes through the point (x1, y1), and the slope of the line is m. |
| inverse operations | operations that "undo" each other such as Multiplication/Division or Addition/Subtraction |
| conjecture | An unproven statement about a general mathematical concept |
| inductive reasoning | Drawing general conclusions from specific observations or experiments. |
| Addition Property of Equality | Adding the same number to each side of an equation produces an equivalent equation |
| Subtraction Property of Equality | Subtracting the same number to each side of an equation produces an equivalent equation |
| Multiplication Property of Equality | Multiplying the same number to each side of an equation produces an equivalent equation |
| Division Property of Equality | Dividing the same number to each side of an equation produces an equivalent equation |
| reciprocal | Two numbers whose product is one. Also known as multiplicative inverse |
| additive inverse | The opposite of a number. When added together the numbers equal zero. |
| multiplicative inverse | Two numbers whose product is one. Also known as reciprocal |