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# Algebra 1 MPHS Obj 4

### Algebra 1 MPHS Objective 4.01

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