Systems of Equations and Inequalities JEOPARDY Systems of Equations and Inequalities

Graphing to Solve Using Substitution Using Elimination Applying Systems Linear 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

FINAL JEOPARDY How many solutions are there to a system of equations that have the same slope and different y-intercepts? Explain. Y = 4/7x-1

Graphing To Solve - $100 Which point is the solution to the system of equations below? a. (-5, 1) b. (-1, 5) c. (5, -1) d. (-1, 5) ANSWER

Graphing To Solve - $200 Large Graph a. b. c. The graph below is the solution to which system of equations? a. b. c. ANSWER

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Graphing To Solve - $300 Which Value of b will make the graphs y = -2x+1 and y = x +b intersect at the point (-2, 5)? -2 c. 5 7 d. 2 ANSWER

Graphing To Solve - $400 A system of equations has a solution at (-2, 4). The equation of one line is y = 2x +8. If the two lines are perpendicular, what is the equation of the second line? Write your answer in slope-intercept form. ANSWER

Graphing To Solve - $500 Your parents have decided to paint the house for the summer, and you are going to rent a cherry-picker. One company will rent it to your for $250 plus $10 per hour, and another company will rent it to you for $100 plus $15 per hour. Write a system of equations to describe the situation. Write your equations in Standard Form with integers. ANSWER

Using Substitution - $100 Solve the system of equations using substitution. y = -x + 5 y = x + 1 ANSWER

Using Substitution - $200 Find the solutions to the system of equations using substitution. x = -5, y = -14 x = 7, y =20 x = -7, y = -20 x = -5, y = 14 ANSWER

Using Substitution - $300 Solve the system of equations using substitution. 2x + 4y = -6 x – 3y = 7 ANSWER

Using Substitution - $400 At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and sundaes were $294.20. Write a system of equations to find the number of cones that were sold. Use substitution to solve. ANSWER

Using Substitution - $500 Use substitution to solve the following system. ANSWER

Using Elimination - $100 Find the solution to the system of equations. (-9, 28) (28, 9) (28, -9) (9, -28) ANSWER

Using Elimination - $200 What values of x and y would make both equations true? ANSWER

Using Elimination - $300 CHEAP RENTAL charges its customers $20 per day, plus a $50 initial payment to rent cars. LOW RAYTZ charges $30 per day to rent their cars, but they do not require any up-front costs. After how many days of renting will the total cost of renting a car be the same for both companies? 30 days b. 20 days c. 10 days d. 5 days ANSWER

Using Elimination - $400 What do you have to multiply the first equation by in order to solve the system using elimination? Equation 1: 2y + 3x = 10 Equation 2: -6x +9y = 20 ANSWER

Using Elimination - $500 Two baby panda bears are born. One panda bear (named “Rocco”) weighs 120 pounds and gains 60 pounds per year. Another panda bear (named “Susie”) weighs only 100 pounds when she is born, but starts to gain 10 pounds per month. Write a system of equations that describes the relationship between the weight (W, in pounds) of the panda bears and time (T, in months) ANSWER

Applying Systems - $100 You have $9.85 in coins of which some are nickels and some are quarters. You have 125 coins total. How many of each do you have? Write a system of equations to solve. ANSWER

Applying Systems - $200 Xavier is older than Yolanda. The difference of their ages is 5, and the sum of their ages is 33. How old is Xavier? ANSWER

Applying Systems - $300 Helene wants to create a snack mix with raisins and granola that costs $2.75 per pound. The granola costs #2 per pound, and the raisins cost $3 per pound. How many pounds of granola should she use to make 10 pounds of snack mix? ANSWER

Applying Systems - $400 Your local cable television company offers two plans: basic service with one movie channel for $35 per month or basic service with two movie channels for $45 per month. What is the charge for the basic service and the charge for each movie channel. ANSWER

Applying Systems - $500 Mrs. Paulson bought chicken wire to enclose a rectangular garden. She is restricted to a width of no more than 30 ft. She would like to use at most 180 ft of chicken wire. Write a system of linear inequalities that describe the situation. ANSWER

Linear Inequalities - $100 Is (-5, 10) a solution to the system of inequalities? y < -5x + 10 y > x + 9 ANSWER

Linear Inequalities - $200 What point is a solution to the system of inequalities below? y < 1/4x -2 y > 3x + 1 (2, -1) (1, -2) (-1, -2) (-2, 1) ANSWER

Linear Inequalities - $300 Graph the following linear inequalities on the same coordinate plane. What figure does the solution to all three inequalities make? ANSWER

Linear Inequalities - $400 Large Graph Linear Inequalities - $400 Find the system of inequalities that has its solution set graphed below. y<3, y>-2x-1 y>3, y<-2x-1 y<3, y<x-1 y>3, y<x-1 ANSWER

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Linear Inequalities - $500 What system of inequalities describes the graph below? a. y>x-1, y>3x-1 b. y<2x+3, y<-x-1 c. y<3x+3, y<x-1 d. y>3x-1, y>2x+3 Large Graph ANSWER

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****Answers****

Graphing To Solve - $100 B. (-1, 5) DONE

Graphing To Solve - $200 a. DONE

Graphing To Solve - $300 B. 7 DONE

Graphing To Solve - $400 DONE

Graphing To Solve - $500 y = 250 + 10x y = 100 + 15x DONE

Using Substitution - $100 x = 2, y = 3 (2, 3) DONE

Using Substitution - $200 C. x = -7, y = -20 DONE

Using Substitution - $300 x = 1 , y = -2 DONE

Using Substitution - $400 cones = 88, sundaes = 84 DONE

Using Substitution - $500 R = 7 S = 9 T = 4 (7, 9, 4) DONE

Using Elimination - $100 C. (28, -9) DONE

Using Elimination - $200 x = -3/2 (-1.5) y = 7/5 (1.4) DONE

Using Elimination - $300 d. 5 days DONE

Using Elimination - $400 2 DONE

Using Elimination - $500 Rocco: W = 5T + 120 Susie: W = 10T +100 DONE

Applying Systems - $100 18 Quarters 107 Nickels DONE

Applying Systems - $200 Xavier is 19 and Yolanda is 14 DONE

Applying Systems - $300 2.5 pounds of granola 7.5 pounds of raisins DONE

Applying Systems - $400 $25 for basic and $10 per movie channel DONE

Applying Systems - $500 w ≤ 30 2l +2w ≤ 180 DONE

Linear Inequalities - $100 YES DONE

Linear Inequalities - $200 b. (1, -2) DONE

Linear Inequalities - $300 Triangle DONE

Linear Inequalities - $400 B. y>3, y<-2x-1 DONE

Linear Inequalities - $500 C. y<3x+3, y<x-1 DONE

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