click below
click below
Normal Size Small Size show me how
Systems of Linear Eq
Question | Answer |
---|---|
What is a linear equation? | An algebraic equation such as (y=2x+7) in which the highest degree term in the variable or variables is of the first degree. |
How do you determine whether an ordered pair is a solution to a set of equations? | By substituting the x value in for x and the y value in for y into both equations. If the ordered pair makes all equations true, it is the solution. |
What is the slope-intercept form? | y=mx+b |
What type of slope do parallel lines have? | The same slope. |
How many solutions are there for parallel lines? | No Solution; Empty Set |
How many solutions are there for equations that intersect at a single point? | One Solution |
How many solutions are there for a set of linear equations that are identical? | There are infinitely many solutions |
How would you graph this equation x=4 (do not graph) | You would draw a vertical line across the x-axis on the number 4 |
What are the steps for the substitution method? | 1. choose one equation to solve for x or y. ( first equation). 2. Substitute the solution for step 1 into the second equation and solve. 3. Use the value found in step 2, and substitute it into the first equation and solve. 4. Check you answer! |
How do you enter an ordered pair? | (x,y) |
What type of slopes do perpendicular lines have? | Negative Reciprocals |
How can you decide if an equation will make a linear graph? | -no exponents higher than 1 -no variables being multiplied together -only two variables -no variables as a denominator |
When is substitution the best method to use? | When a variable is already isolated, or is easily isolated |
When is elimination the best method to use? | When the terms are already lined up and the coefficients of one of the terms are the same. |
What is the solution to the system? | The intersections point |
How should a solution be written? | As an ordered pair |
What is standard form? | Ax +By = C |
What are the rules of standard form? | A, B, C must be integers; A cannot be negative; A, B, C cannot all be 0; A, B, C cannot have a common factor. |