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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

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

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$100 Answer Substitution (7, 9)

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

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$200 Answer Substitution (2, 3)

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

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$300 Answer Substitution (17, 7)

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

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$400 Answer Substitution (3, 6)

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

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$500 Answer Substitution (-1, 7)

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

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$100 Answer Addition (2, 0)

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

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$200 Answer Addition (4, -1)

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

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$300 Answer Addition (-6, 18)

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

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$400 Answer Addition (-4, -14)

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$500 Question Addition 2x = y + 20 3x + 2y = -19 {

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$500 Answer Addition (3, -14)

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

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$100 Answer Student Choice (3, 0)

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

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$200 Answer Student Choice (-6, 17)

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$300 Question Student Choice

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$300 Answer Student Choice

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$400 Question Student Choice y = x + 3 -2x + y = -4

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$400 Answer Student Choice (7, 10)

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

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$500 Answer Student Choice (5, -2)

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

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$100 Answer Special Systems Consistent and Dependent Infinitely Many Solutions

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$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.

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

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

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$300 Answer Special Systems Consistent and Dependent Infinitely Many Solutions

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

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$400 Answer Special Systems Consistent and Independent One Solution

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

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$500 Answer Special Systems Inconsistent No Solution

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

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$100 Answer Challenge (7, -18)

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$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.

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$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.

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

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$300 Answer Challenge (1, -3)

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

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$400 Answer Challenge (5, -2, 4)

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$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?

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$500 Answer Challenge $1.50

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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.

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Final Jeopardy Answer 6 and 13

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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.

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

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