Jeopardy System of Substitution Elimination Graphing Real life

Jeopardy System of Substitution Elimination Graphing Real life Equations scenarios Q $100 Q $100 Q $200 Q $200 Q $300 Q $300 Q $400 Q $400 Q $500 Q $500 Final Jeopardy

$100 Question from Systems of Equations What is the solution to this system of equations? Jeopardy

$100 Answer from Systems of Equations (1, 6) Jeopardy

$200 Question from Systems of Equations A system of equations has been graphed at the right. What is the solution to this system of equations? Each tick mark = 1 Jeopardy

$200 Answer from Systems of Equations (3, 3) Jeopardy

$300 Question from Systems of Equations (1, 2) is a solution to which system of equations? Jeopardy

$300 Answer from Systems of Equations Jeopardy

$400 Question from Systems of Equations Given the system of equations, what do you know about their solution? Jeopardy

$400 Answer from Systems of Equations There is no solution. The lines have the same. The lines are parallel. They lines will not intersect. Jeopardy

$500 Question from Systems of Equations Each table represents a set of linear data. What is the solution to this system of equations? Jeopardy x y -2 0 0 2 2 4 4 6 6 8 x y -1 5 0 8 1 11 2 14 3 17

$500 Answer from Systems of Equations (-3, -1) Jeopardy x y -4 -2 -3 -1 -1 5 -2 0 0 8 0 2 1 11 2 4 2 14 4 6 3 17 6 8

$100 Question from Substitution Solve this system of equations by substitution: Jeopardy

$100 Answer from Substitution (2, 6) Jeopardy

$200 Question from Substitution Solve this system of equations by substitution: Jeopardy

$200 Answer from Substitution (3, 4. 5) Jeopardy

$300 Question from Substitution Solve this system of equations by substitution: Jeopardy

$300 Answer from Substitution (6, 4) Jeopardy

$400 Question from Substitution Solve this system of equations by substitution: Jeopardy

$400 Answer from Substitution (0, 2) Jeopardy

$500 Question from Substitution Which system of equations if already set up to use the substitution method to solve for the solution? Jeopardy

$500 Answer from Substitution Jeopardy

$100 Question from Elimination You want to use the elimination method to solve for the solution to this system of equations. Tell how you can eliminate the y term. Jeopardy

$100 Answer from Elimination Multiply the first equation by -8 and the second equation by 7 and then add the equations. Or Multiply the first equation by 8 and the second equation by -7 and then add the equations Or Multiply the first equation by 8 and the second equation by 7 and then subtract the equations Jeopardy

$200 Question from Elimination Solve this system of equations by elimination: Jeopardy

$200 Answer from Elimination (20, 40) Jeopardy

$300 Question from Elimination Solve this system of equations by elimination: Jeopardy

$300 Answer from Elimination (-2. 5, -1) Jeopardy

$400 Question from Elimination Solve this system of equations by elimination: Jeopardy

$400 Answer from Elimination Infinitely many solutions because the two equations are the same line. Jeopardy

$500 Question from Elimination Solve this system of equations by elimination: Jeopardy

$500 Answer from Elimination (1, 3) Jeopardy

$100 Question from graphing Inequalities What best describes the systems of equations shown in the graph below? Jeopardy

$100 Answer from graphing Inequalities No Solution Jeopardy

$200 Question fromgraphing Inequalities Which of the following is true for a system of equations to have an intersection at exactly one point? a. ) Both equations must have the same slope. b. ) Both equations must have the same slope and the same y-intercept. c. ) The equations must have different slopes and the yintercepts can be the same or different. Jeopardy

$200 Answer from graphing Inequalities c. ) The equations must have different slopes and the y-intercepts can be the same or different. Jeopardy

$300 Question from graphing Inequalities What inequality statement is graphed at the right? Jeopardy

graphing $300 Answer from Inequalities Jeopardy

$400 Question from graphing Inequalities The dark blue section represents the solution of a system of inequalities. True or False The points (4, 1) is in the solution set. Jeopardy

graphing $400 Answer from Inequalities False Jeopardy

$500 Question fromgraphing Inequalities What inequality statement is graphed at the right? Jeopardy

$500 Answer from graphing Inequalities x<2 Jeopardy

$100 Question from Systems of real life scenarios Inequalities A buffet has one price for adults and another for children. The Taylor family has two adults and three children, and their bill was $40. 50. The Wong family has three adults and one child. Their bill was $38. Write a system of equations to determine the price for an adult and for a child? Jeopardy

$100 Answer from Systems of Inequalities real life scenarios 2 x + 3 y = 40. 50 3 x + y = 38 Jeopardy

$200 Question from Systems of real life scenarios Inequalities Suppose your community center sells a total of 292 tickets for a basketball game. An adult ticket costs $3 and a student ticket costs $1. The sponsors collect $470 in total ticket sales. Write a system of equations to determine how many adult and student tickets were sold? Jeopardy

$200 Answer from Systems of real life scenarios Inequalities 3 a + s = 470 a + s = 292 Jeopardy

$300 Question from Systems of Inequalities real life scenarios Two health clubs offer different plans for physical training. Fit Zone charges a $30 initial fee and an additional $10 for each hour of physical training. Ultra Strength charges an initial fee of $55 and an additional $5 for each hour of physical training. Bill buys 10 hours of physical training. Determine which health club plan would cost less for Bill. Jeopardy

$300 Answer from Systems of real life scenarios Inequalities Jeopardy

$400 Question from Systems of real life scenarios Inequalities Two health clubs offer different plans for physical training. Fit Zone charges a $30 initial fee and an additional $10 for each hour of physical training. Ultra Strength charges an initial fee of $55 and an additional $5 for each hour of physical training. Identify the hours of physical training when both plans cost an equal amount. Jeopardy

$400 Answer from Systems of real life scenarios Inequalities Jeopardy

$500 Question from Systems of real life scenarios Inequalities Two health clubs offer different plans for physical training. Fit Zone charges a $30 initial fee and an additional $10 for each hour of physical training. Ultra Strength charges an initial fee of $55 and an additional $5 for each hour of physical training. Describe which plan costs less with respect to hours of physical training. Jeopardy

$500 Answer from Systems of real life scenarios Inequalities Jeopardy

Final Jeopardy Complete the following statements: 1. A system of two linear equations has no solution if … 2. A system of two linear equations has infinitely many solutions if … 3. A system of two linear equations has exactly one solution if … Jeopardy

Final Jeopardy Answer 1. The equations have different y-intercepts and the same slope (parallel lines) 2. The equations have the same y-intercept and the same slope (same lines) 3. The equations have different slopes and the same or different y-intercepts (intersecting lines) Jeopardy