JeopardySystems of AxByC to Intercepts y mxb Equations

Jeopardy-Systems of Ax+By=C to Intercepts y = mx+b Equations Writing Verify Solutions Equations 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? Jeopardy

$200 Answer from Systems of Equations (4, 3) Jeopardy

$300 Question from Systems of Equations What is the solution of the system of equations: x + y = 5 x -y=3 Jeopardy

$300 Answer from Systems of Equations (4, 1) Jeopardy

$300 Question from Systems of Equations What is the solution of the system of equations: 2 x – 5 y = 11 -2 x + 3 y = - 9 Jeopardy

$300 Answer from Systems of Equations (3, - 1) Jeopardy

$400 Question from Systems of Equations You want to use the elimination method to solve for the solution to this system of equations. Describe how you can eliminate the y term. Jeopardy

$400 Answer from Systems of Equations 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 Jeopardy

$500 Question from Systems of Equations Given the system of equations, what do you know about the solution? Jeopardy

$500 Answer from Systems of Equations There is no solution— The lines are parallel— They lines will not intersect Jeopardy

$100 Question from Ax+By=C to y = mx+b What is the y-intercept of the graph of 4 x + 2 y = 12 ? Jeopardy

$100 Answer from Ax+By=C to y = mx+b y-intercept is 6 or (0, 6) Jeopardy

$200 Question from Ax+By=C to y = mx+b What is the slope of the graph of 4 x + 2 y = 12 ? Jeopardy

$200 Answer from Ax+By=C to y = mx+b Slope is -2 or -2/1 Jeopardy

$300 Question from Ax+By=C to y = mx+b Rewrite the equation below into slopeintercept form. 3 x + 2 y = 6 Jeopardy

$300 Answer from Ax+By=C to y = mx+b y = 3 – 3/2 x or y = -3/2 x + 3 Jeopardy

$400 Question from Ax+By=C to y = mx+b Rewrite the equation below into slopeintercept form. -x – 6 y = - 12 Jeopardy

$400 Answer from Ax+By=C to y = mx+b y = 2 – 1/6 x or y = -1/6 x + 2 Jeopardy

$500 Question from Ax+By=C to y = mx+b What is the equation that represents the graph below? Jeopardy

$500 Answer from Ax+By=C to y = mx+b y = 2 – 2/3 x or y = -2/3 x + 2 Jeopardy

$100 Question from Intercepts What are the x & y intercepts for the graph below? Jeopardy

$100 Answer from Intercepts X-intercept = -1 or (-1, 0) Y-intercept = - 2 or (0, -2) Jeopardy

$200 Question from Intercepts What are the x & y intercepts for the equation: 4 x + 2 y = 12 Jeopardy

$200 Answer from Intercepts X-intercept is 3 or (3, 0) Y-intercept is 6 or (0, 6) Jeopardy

$300 Question from Intercepts What are the x & y intercepts for the equation: 3 x – y = 9 Jeopardy

$300 Answer from Intercepts X-intercept is 3 or (3, 0) Y-intercept is -9 or (0, -9) Jeopardy

$400 Question from Intercepts A pet store sells angel fish for $6 each and clown fish for $4 each. It sold $36 worth of fish. How many angel fish would be sold if 0 clown fish were sold? How many clown fish would be sold if 0 angel fish were sold? Jeopardy

$400 Answer from Intercepts 6 angel fish and 0 clown fish 0 angel fish and 9 clown fish Jeopardy

$500 Question from Intercepts Which equation represents the graph below? A 2 x – y = -2 B 2 x + y = -2 C x – 2 y = -2 D -x + 2 y = -2 Jeopardy

$500 Answer from Intercepts B) 2 x + y = -2 Jeopardy

$100 Question from Verify Solutions Is (2, 1) a point on the line defined by 3 x + 6 y = 12? Must show work! Jeopardy

$100 Answer from Verify Solutions YES!! 3 x + 6 y = 12 3(2) + 6(1) = 12 6 + 6 = 12 12 = 12 Jeopardy

$200 Question from Verify Solutions Is (1, -7) a solution to the system of equations? -3 x + y = - 2 x+y=-6 You must show your work! Jeopardy

$200 Answer from Verify Solutions No -3 x + y = - 2 -3(1) + -7 ≠ -2 -3 + -7 ≠ -2 -10 ≠ -2 Jeopardy

$300 Question from Verify Solutions Is (-1, -5) a solution to the system of equations? -3 x + y = - 2 x+y=-6 Jeopardy

$300 Answer from Verify Solutions YES! The point (-1, -5) worked for BOTH equations -3 x + y = -2 -3(-1) + -5 = -2 3 + -5 = -2 -2 = -2 Jeopardy x+ y =-6 -1 + -5 = - 6 -6=-6

$400 Question from Verify Solutions For what value of x is (x, - 3) a solution for 4 x – 3 y = 21? A) -11 B) -3 C) 3 D) 11 Jeopardy

$400 Answer from Verify Solutions C) 3 Jeopardy

$500 Question from Verify Solutions (1, 2) is a solution to which system of equations? Jeopardy a) 2 x + y = 4 -x + y = 3 b) -4 x + y = - 4 6 x + y = 8 c) -x + y = 1 x+y=3

$500 Answer from Verify Solutions c) -x + y = 1 x+y=3 Jeopardy -(1) + 2 = 1 1+2=3

$100 Question from Writing Equations Tyheim paid $17. 50 to buy 6 youth tickets and 1 adult ticket to a school carnival. Ashley paid $22. 50 to buy 3 youth tickets and 3 adult tickets at the carnival. Write a system of equations to represent the situation. (Let x represent cost of youth ticket and y represent cost of adult ticket) Jeopardy

$100 Answer from Writing Equations Tyheim’s Equation Ashley’s Equation Jeopardy 6 x + y = 17. 50 3 x + 3 y = 22. 50

$200 Question from Writing Equations Tickets for a school concert cost $2 for students and $5 for adults. A total of 200 tickets were sold for $670. Write a system of equations to represent the situation. Jeopardy

$200 Answer from Writing Equations 2 x + 5 y = 670 x + y = 200 Jeopardy

$300 Question from Writing Equations The Arcadia Theater charges $4 for adult tickets and $3 for student tickets. Mr. Steele purchased 9 tickets (some student and some adult) for $31. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets Mr. Steele purchased? Jeopardy

$300 Answer from Writing Equations Jeopardy

$400 Question from Writing Equations Billy had a total of $47 in $5 and $1 bills in his wallet. He had a total of 15 bills. Write a system of equations that represents the situation if x represents $5 bills and y represents $1 bills? Jeopardy

$400 Answer from Writing Equations 5 x + y = 47 x + y = 15 Jeopardy

$500 Question from Writing Equations The only coins Alex has are dimes and quarters. • His coins have a total value of $5. 80. • He has a total of 40 coins. Write a systems of equations that can be used to find the number of dimes, d, and the number of quarters, q, that Alex has? Jeopardy

$500 Answer from Writing Equations . 10 d +. 25 q = 5. 80 d + q = 40 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 (intersecting lines) Jeopardy