ALGEBRA II Jeopardy Linear Systems

Classifying Graphing Substitution Elimination Inequalities 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

The word used to classify this linear system: Classifying 100 Points The word used to classify this linear system: x + y = 3 y = 2x - 3

Classifying 100 Points What is Independent?

This word is used to classify this linear system: Classifying 200 Points This word is used to classify this linear system: 2x + y = 3 y = -2x - 1

Classifying 200 Points What is inconsistent?

This word is used to describe this linear system: Classifying 300 Points This word is used to describe this linear system: x + 3y = 9 -2x - 6y = -18

Classifying 300 Points What is dependent?

This is the name given to a linear system with no solutions. Classifying 400 Points This is the name given to a linear system with no solutions.

Classifying 400 Points What is inconsistent?

This is the number of solutions a dependent system has. Classifying 500 Points This is the number of solutions a dependent system has.

Classifying 500 Points What is dependent?

Graphing 100 Points This is the solution to the system y = x - 2 x + y = 10 which can be found by graphing.

Graphing 100 Points What is (6, 4)?

Graphing 200 Points This is the solution to the system y = 7 - x x + 3y = 11 which can be found by graphing.

Graphing 200 Points What is (5,2)?

This is the solution to the system Graphing 300 Points This is the solution to the system y = 2/3x - 5 y = -2/3x - 3 (found by graphing)

Graphing 300 Points What is (1.5, -4)?

This is the solution to the system Graphing 400 Points This is the solution to the system 4x + 3y = -16 -x + y = 4 (found by graphing).

Graphing 400 Points What is (-4,0)?

This is the solution to the system Graphing 500 Points This is the solution to the system x - y = -1 2x + 2y = 10 (found by graphing).

Graphing 500 Points What is (2,3)?

This solution can be found by using substitution to solve this system: Substitution 100 Points This solution can be found by using substitution to solve this system: y = x + 1 2x + y = 7

Substitution 100 Points What is (2,3)?

Substitution 200 Points This would be a convenient substitution to make in solving this system: x = y - 2 3x - y = 6

Substitution 200 Points What is “y - 2”?

This solution can be found by using substitution to solve this system: Substitution 300 Points This solution can be found by using substitution to solve this system: 2y - 3x = 4 x = -4

Substitution 300 Points What is (-4,-4)?

Substitution 400 Points Suppose your drama club is planning a production that will cost $525 for the set and $150 per performance. A sold-out performance will bring in $325. Equations to model the cost C and the income I for p sold-out performances will find this number of performances that are needed to make the cost equal to the income.

Substitution 400 Points What is 3 performances? Equations: C = 525 + 150p; I = 325p (Set them equal: 525 + 150p = 325p) What is 3 performances?

Substitution 500 Points A group of 60 people attend a ball game. There were twice as many children as adults in the group. This is the number of children that were in the group (set up a system of equations and use substitution to solve).

Substitute 2a in for c and solve. Substitution 500 Points Equations: a + c = 60 ; c = 2a Substitute 2a in for c and solve. What is 40 children?

Elimination 100 Points This is the number you would use to prepare the system for elimination: 3x + 4y = -1 x - 2y = 7

Elimination 100 Points What is -3? Or What is 2?

Elimination 200 Points If you used elimination to solve the system x + y = 10 x - y = 2 you would get this solution.

Elimination 200 Points What is (6,4)?

Elimination 300 Points If you used elimination to solve the system x + 2y = 10 3x - y = 9 you would get this solution.

Elimination 300 Points What is (4,3)?

(Must write and solve a system of equations using elimination.) Elimination 400 Points Suppose you bought eight oranges and one grapefruit for a total of $4.60. Later that day, you bought six oranges and three grapefruits for a total of $4.80. This is the price of each orange and each grapefruit. (Must write and solve a system of equations using elimination.)

What are oranges for $0.50 and grapefruits $0.60? Elimination 400 Points 8r + 1g = 4.60 6r + 3g = 4.80 What are oranges for $0.50 and grapefruits $0.60?

Elimination 500 Points Jen has $13,000 to invest in stocks and bonds. Stocks can earn 12% annually and bonds can earn 9%. This is how much should be invested in each to earn an annual return of $1395. 900 495 1395 7500 5500

What is $7500 in stocks and $5500 in bonds? Elimination 500 Points s + b = 13,000 .12s + .09b = 1395 What is $7500 in stocks and $5500 in bonds?

This graph shows the solutions to Inequalities 100 Points This graph shows the solutions to y > x + 2 y < -x + 1

Inequalities 100 Points

Inequalities 200 Points This graph shows the solutions to y < x + 3

Inequalities 200 Points

This graph shows solutions to Inequalities 300 Points This graph shows solutions to x + y < 5 y < 3x - 2

Inequalities 300 Points

Inequalities 400 Points Suppose you are buying two kinds of notebooks for school. A spiral notebook costs $2 and a three-ring notebook costs $5. You must have at least six notebooks. The cost of the notebooks can be no more $20. This is the system that models the situation.

Inequalities 400 Points What is 2s + 5t < 20 and s + t > 6? Let s be spiral notebooks; Let t be three-rings What is 2s + 5t < 20 and s + t > 6?

Inequalities 500 Points A camp counselor needs no more than 30 campers to sign up for two mountain hikes. The counselor needs at least 10 campers on the low trail and at least 5 campers on the high trail. This is the graph that shows all possible combinations of campers.

Inequalities 500 Points x + y < 30 x > 10 y > 5