Systems of Linear Eq
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| 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.
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| 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.
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| What is the slope-intercept form? | y=mx+b
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| What type of slope do parallel lines have? | The same slope.
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| How many solutions are there for parallel lines? | No Solution; Empty Set
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| How many solutions are there for equations that intersect at a single point? | One Solution
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| How many solutions are there for a set of linear equations that are identical? | There are infinitely many solutions
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| 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
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| 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!
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| How do you enter an ordered pair? | (x,y)
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| What type of slopes do perpendicular lines have? | Negative Reciprocals
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| 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
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| When is substitution the best method to use? | When a variable is already isolated, or is easily isolated
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| 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.
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| What is the solution to the system? | The intersections point
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| How should a solution be written? | As an ordered pair
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| What is standard form? | Ax +By = C
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| 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.
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Created by:
smcgar
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