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Algebra 1 MPHS Obj 4
Algebra 1 MPHS Objective 4.01
| Question | Answer |
|---|---|
| Graph | To draw, or plot, the points named by certain numbers or ordered pairs on a number line or coodinate plane. |
| Slope | The ratio of the change in the y-coordinates(rise) to the corresponding change in the x-coordinates (run) as you move from one point to another along a line. |
| y-intercept | The coordinate at which a graph intersects the y-axis. |
| Domain | The set of the first numbers of the ordered pairs in a relation. x |
| Range | The set of second ordered pairs in a relation. y |
| Independent variable | The variable in a function whose value is subject to choice. |
| Dependent variable | The variable in a relation whose value depends on the value of the independent variable. |
| Relation | A set of ordered pairs. |
| Function | A relation in which each element of the domain is paired with exactly one element of the range. |
| Increasing | Going up |
| Decreasing | Going down. |
| Multiplicative Property of Zero | For any number a,the product of a and 0 is 0. a x 0 = 0 x a = 0. |
| Additive Identity | For any number a, the sum of a and 0 is a. a + 0 = 0 + a = a |
| Commutative Property | The order in which you add or multiply numbers does not change their sum or product. a + b = b + a and a x b = b x a |
| Associative Property | The way you group three or more numbers when adding or multiplying does not change their sum or product. |
| Distributive Property | For any numbers a, b, and c.a(b + c) = ab + ac and (b + c)a = ba + ca and a(b - c) = ab - ac and (b - c)a = ba - ca. |
| Solution | A replacement value for the variable in an open sentence. |
| Standard Form of a linear equation | Ax + By = C, where A is greater than or equal to 0, and A and B are not both zero. |
| Slope - intercept form | The equation of the form y = mx + b, where m is the slope and b is the y-intercept. |
| Multiplicative Identity | For any number a, the product of a and 1 is a. a x 1 = 1 x a = a.12 x 1 = 1 x 12 |
| Multiplicative Inverse | For every number a/b, where a, b does not equal 0, there is exactly one number b/a such that the product of a/b and b/a is 1. |
| Reflexive Property | Any quantity is equal to itself. For any number a, a = a. 7 = 7 2 + 3 = 2 + 3 |
| Symmetric Property | If one quantity equals a second quantity, then the second quantity equals the first. For any numbers a and b, if a = b, then b = aIf 9 = 6 + 3, then 6 + 3 = 9. |
| Reciprocals | Two numbers whose product is 1. Also called multiplicative inverses. |
| Transitive Property | If one quantity equals a second quantity and the second quantity equals a third quantity, then the first quantity equals the third quantity. For any numbers a, b, and c, if a = b and b = c then a = c.If 5 + 7 = 8 + 4 and 8 + 4 = 12, then 5 + 7 = 12. |
| Substitution Property | A quantity may be substituted for its equal in any expression. If a = b , then a may be replaced by b in any expression. If n = 15, then 3n = 3 x 15. |
| x-intercept | A coordinate at which a graph intersects the x-axis. |
Created by:
bunnych
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