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chapter 3
solving equations and system of equations
| Question | Answer |
|---|---|
| Break-even point | when cosy of production equals the income from selling a product |
| column | numbers aligned vertically in a matrix |
| consistent | a system that has at least one solution |
| dependent | a system that has infinitely many solutions, when graphed it is the same line |
| dimensions of matrix | it is the number of rows by the number of columns of a matrix, written m x n |
| element | each of the number in a matrix |
| elimination method/addition method | equations are added to eliminate variable |
| inconsistent | a system that has no solution. if graphed the lines are parallel |
| intersection of graphs for solving an equations | graph y1= left of the equation. y2= right side of the equation. the x-component of the intersection is the solution |
| interval notation | solution written in the form of (2,∞) or (-∞,6] as examples |
| linear inequality | similar to a linear equation except the equality symbol is replaced with<,>, ect. |
| matrix | a rectangular array of numbers |
| matrix addition | when two or more matrices with the same dimensions are added by adding the elements in the same position together |
| row | numbers aligned horizontally in a matrix |
| scalar multiplication | when a number in front of the matrix is multiplied by every element inside the matrix to get a product with the same dimensions as the original matrix |
| set notation | solution written in the form of {x|x<2} as an example |
| solution of a system | in two variables it is in the form of (x,y), in three variables it looked like (x,y,z). various variables may be used to represent the ordered pair or ordered triple. when graphed it is the intersection of the lines at one point. |
| solution to a system of inequalities | represented by a graph and shading of all points that satisfy all linear inequalities. commonly shaded area on the graph. |
| substitution method | the process is to take on equation and solve for one variable. the expression for that variable is then replaced for the variable in another equation |
| system of equations | two or more equations in tow or more variables are solved simultaneously |
| x-intercept method for solving an equation | written so that one side of the equation equals 0. graph y1=the nonzero side of the equation. find the x-intercept or zero of the graph. the x-coordinate of the x-intercept is the solution. |
Created by:
dcharm
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