Chapter 6 Content by: Kaylee Vander Wal Template Design by: Mark Geary Substitution Inequalities Miscellaneous Graphing Elimination Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500 Final Jeopardy

$100 Question from A1 When do we use the graphing method to solve a system of linear equations?

$100 Answer from A1 What is when you want a visual display of the system of equations or when you want an estimation?

$200 Question from A1 What is the solution to this system of equations?

$200 Answer from A1 What is (-2,-1)?

$300 Question from A1 What does the graph of a system of infinitely many solutions look like?

$300 Answer from A1 What is ?

$400 Question from A1 If the graph of the equations are parallel lines, is it possible for the system to have infinitely many solutions? Explain.

$400 Answer from A1 What is No, linear equations that are parallel never intersect. Therefore, they have no solutions?

$500 Question from A1 Graph the following systems of equations to solve: y = x – 3 2x + y = 6

$500 Answer from H1 What is (3, 0)?

$100 Question from H2 When should we use substitution to solve systems of equations.

$100 Answer from H2 What is when one equation is already solved for one of the variables or when it is easy to solve for one of the variables?

$200 Question from H2 What is the first step in solving a system of equations using substitution?

$200 Answer from H2 What is solving one equation for one of the variables?

$300 Question from H2 What should one do after they believe they found the solution to a system of equations?

$300 Answer from H2 What is perform a check?

$400 Question from H2 Solve the system using substitution: x + 2y = -1 2x – 3y = 12

$400 Answer from H2 What is (3, -2)?

$500 Question from H2 Where is the mistake?

$500 Answer from H2 What is substituting the Y value back into an equation.

$100 Question from H3 When should you use the elimination method?

$100 Answer from H3 What is when the coefficients of one variable are the same or opposites?

$200 Question from H3 After working through a system of equations using elimination, you come to the following conclusion: 5=-5 What can you conclude?

$200 Answer from H3 What is no solution?

$300 Question from H3 What do you do after you “eliminate” one variable?

$300 Answer from H3 What is solve for the variable that remains in the problem?

$400 Question from H3 x + y = 4 x – y = 6

$400 Answer from H3 What is (5, -1)?

$500 Question from H3 7x – 8y = 11 8x – 7y = 7

$500 Answer from H3 Who is (-7/5, -39/15)?

$100 Question from H4 When do we use a dashed line?

$100 Answer from H4 What is > or <?

$200 Question from H4 When do we use a solid line when graphing?

$200 Answer from H4 What is ≥ or ≤?

$300 Question from H4 Graph the inequality. 2x + 3y ≤ 6

$300 Answer from H4 What is ?

$400 Question from H4 Write a system of inequalities for the graph below.

$400 Answer from H4 Who is y ≥ x -1 y < -1/2 + 5?

$500 Question from H4 Solve the system of inequalities by graphing. 2x + 3y ≤ 6 3x + 2y ≤ 6

$500 Answer from H4 What is ?

$100 Question from H5 For a work banquet, Jack can spend no more than $200 on dessert. Fruit pies cost $9 each and cakes cost $20 each. Write the linear inequality that models the situation.

$100 Answer from H5 What is 9p + 20c ≤ 200?

$200 Question from H5 A plant nursery is growing a tree that is 3 feet tall and grows at an average rate of 1 foot per year. Another tree at the nursery is 4 feet tall and grows at an average rate of 0.5 feet per year. After how many years will the trees be the same height?

$200 Answer from H5 What is 2 years?

$300 Question from H5 Determine whether the ordered pair (8,2) is a solution to the given systems: 3x – 2y ≤ 17 0.3x + 4y > 9

$300 Answer from H5 What is no?

$400 Question from H5 The concession stand is selling hot dogs and hamburgers during a game. At halftime, they sold a total of 78 hot dogs and hamburgers and brought in $105.50. How many of each item did they sell if hamburgers sold for $1.50 and hot dogs sold for $1.25?

$400 Answer from H5 What is 46 hotdogs and 32 hamburgers?

$500 Question from H5 Write a system of equations that you would want to use elimination to solve.

$500 Answer from H5 What is 2x + y = 8 4x – y = 12?

Final Jeopardy What is my name?

Final Jeopardy Answer What is Ms. Vander Wal?