Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy SubstitutionAddition Student Choice Special Systems Challenge Jeopardy

$100 Question  Substitution y = x + 2 y = 2x - 5 {

$100 Answer  Substitution (7, 9)

$200 Question  Substitution x = y - 1 x + 2y = 8 {

$200 Answer  Substitution (2, 3)

$300 Question  Substitution y = x – 10 x – 2y = 3 {

$300 Answer  Substitution (17, 7)

$400 Question  Substitution x – y = -3 2x + y = 12 {

$400 Answer  Substitution (3, 6)

$500 Question  Substitution y – x = 8 5x + 2y = 9 {

$500 Answer  Substitution (-1, 7)

$100 Question  Addition 3x + y = 6 5x – y = 10 {

$100 Answer  Addition (2, 0)

$200 Question  Addition 3x + 2y = 10 3x – 2y = 14 {

$200 Answer  Addition (4, -1)

$300 Question  Addition x + y = 12 2x + y = 6 {

$300 Answer  Addition (-6, 18)

$400 Question  Addition 3x – y = 2 -8x + 2y = 4 {

$400 Answer  Addition (-4, -14)

$500 Question  Addition 2x = y x + 2y = -19 {

$500 Answer  Addition (3, -14)

$100 Question  Student Choice y = 3 – x 2x – y = 6 {

$100 Answer  Student Choice (3, 0)

$200 Question  Student Choice -2x – y = -5 3x + y = -1 {

$200 Answer  Student Choice (-6, 17)

$300 Question  Student Choice

$300 Answer  Student Choice

$400 Question  Student Choice y = x x + y = -4

$400 Answer  Student Choice (7, 10)

$500 Question  Student Choice { 2x + y = 8 3x + 5y = 5

$500 Answer  Student Choice (5, -2)

$100 Question  Special Systems y = 4 – 3x 3x + y = 4 { Classify and state the number of solutions.

$100 Answer  Special Systems Consistent and Dependent Infinitely Many Solutions

$200 Question  Special Systems 1.) What kinds of lines are inconsistent? 2.) Compare the slopes of the lines in an inconsistent system. 3.) Compare the y-intercepts of the lines in an inconsistent system.

$200 Answer  Special Systems 1.) Parallel 2.) The slopes are the same. 3.) The y-intercepts are different.

$300 Question  Special Systems y + 3x – 2 = 0 9x + 3y = 6 { Classify and state the number of solutions.

$300 Answer  Special Systems Consistent and Dependent Infinitely Many Solutions

$400 Question  Special Systems { Classify and give the number of solutions. y + 3x = -1 x = y + 3x - 1

$400 Answer  Special Systems Consistent and Independent One Solution

$500 Question  Special Systems { Classify and give the number of solutions. 3x – 2y = 9 -6x + 4y = 1

$500 Answer  Special Systems Inconsistent No Solution

$100 Question  Challenge 4x + y = 10 -2x = y + 4 { Solve twice. Use substitution AND addition.

$100 Answer  Challenge (7, -18)

$200 Question  Challenge y = 5/2x + 2 y = 2x + 4 { Solve by graphing. $50 BONUS Describe a real-life situation that could be represented by this data.

$200 Answer  Challenge (4, 12) One bowling alley charges $2.50 per game plus $2.00 for shoe rental. Another charges $2.00 per game plus $4.00 for shoe rental. For how many games will the cost of bowling be the same at both places.

$300 Question  Challenge 9x – 2y = 15 4x + 3y = -5 Solve using addition. {

$300 Answer  Challenge (1, -3)

$400 Question  Challenge 2x – 3y – z = 12 y + 3z = 10 z = 4 {

$400 Answer  Challenge (5, -2, 4)

$500 Question  Challenge A group of students go out for lunch. If two have hamburgers and five have hot dogs, the bill will be $8.00. If five have hamburgers and two have hot dogs, the bill will be $9.50. What is the price of a hamburger?

$500 Answer  Challenge $1.50

Final Jeopardy The larger of two numbers is 1 more than twice the smaller. The sum of the numbers is 20 less than three times the larger. Find the two numbers.

Final Jeopardy Answer 6 and 13

One cable television provider has a $60 setup fee and $80 per month, and the second has a $160 equipment fee and $70 per month. a.) In how many months will the cost be the same? What will that cost be. b.) If you plan to move in 6 months, which is the cheaper option? Explain.

a.) 10 months, $860 b.) First company ($80/mo and $60 setup fee) $80(6) + $60 = $540 $70(6) + $160 = $580