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

What is the solution to this system of equations? Jeopardy

(1,6) Jeopardy

A system of equations has been graphed at the right. What is the solution to this system of equations? Jeopardy Each tick mark = 1

(3, 3) Jeopardy

(1, 2) is a solution to which system of equations? Jeopardy

Given the system of equations, what do you know about their solution? Jeopardy

There is no solution. The lines have the same. The lines are parallel. They lines will not intersect. Jeopardy

xy xy Each table represents a set of linear data. What is the solution to this system of equations?

(-3, -1) Jeopardy xy xy

Solve this system of equations by substitution: Jeopardy

(2, 6)

Jeopardy Solve this system of equations by substitution:

Jeopardy (3, 4.5)

Jeopardy Solve this system of equations by substitution:

(6, 4) Jeopardy

Solve this system of equations by substitution:

(0, 2) Jeopardy

Which system of equations if already set up to use the substitution method to solve for the solution? Jeopardy

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 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 Solve this system of equations by elimination:

Jeopardy (20, 40)

Jeopardy Solve this system of equations by elimination:

Jeopardy (-2.5, -1)

Jeopardy Solve this system of equations by elimination:

Jeopardy Infinitely many solutions because the two equations are the same line.

Jeopardy Solve this system of equations by elimination:

(1, 3) Jeopardy

What best describes the systems of equations shown in the graph below? Jeopardy graphing

Jeopardy No Solution graphing

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 y- intercepts can be the same or different. Jeopardy graphing

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

What inequality statement is graphed at the right? Jeopardy graphing

Jeopardy graphing

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

Jeopardy False graphing

Jeopardy What inequality statement is graphed at the right? graphing

x < 2 Jeopardy graphing

Jeopardy A buffet has one price for adults and another for children. The Taylor family has two adults and three children, and their bill was $ 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? real life scenarios

Jeopardy 2x + 3y = x + y = 38 real life scenarios

Jeopardy 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? real life scenarios

Jeopardy 3a + s = 470 a + s = 292 real life scenarios

Jeopardy 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 real life scenarios

Jeopardy 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. Identify the hours of physical training when both plans cost an equal amount.

Jeopardy real life scenarios

Jeopardy 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. Describe which plan costs less with respect to hours of physical training.

Jeopardy real life scenarios

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 …

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