Unit 3 Whiteboard Game Review Rules of the Game… The class will be split in to 3 Teams Every member of the team will complete the problem on the whiteboard At random, one member of each team will be selected to hold up the whiteboard to see if he/she has the correct answer If the correct answer is given, that person can shoot from the EASY line If an incorrect answer is given, that person has to shoot from the HARD line Whichever team has the most points in the end wins! Question #1 Use the graph to determine how many solutions the system has. If the system has one solution, name it. 𝑦 = 2𝑥 − 1 𝑦 = −2𝑥 + 3 Answer: One solution (𝟏, 𝟏) Question #2 Solve the system of equations 𝑦 = 2𝑥 − 3 𝑦 =𝑥+4 Answer: (𝟕, 𝟏𝟏) Question #3 Solve the system of equations 3 𝑦 =− 𝑥+6 2 3𝑥 + 2𝑦 = 6 Answer: No Solution Question #4 Solve the system of equations 3𝑥 + 3𝑦 = 24 𝑥+𝑦 =8 Answer: Infinitely Many Solutions Question #5 Solve the system of equations 3𝑥 + 4𝑦 = 10 9𝑥 − 24𝑦 = −6 Answer: (𝟐, 𝟏) Question #6 Angelina spent $16 for 12 pieces of candy to take to a meeting. Each chocolate bar costs $2, and each lollipop costs $1. Determine how many of each she bought. Answer: 4 chocolate bars and 8 lollipops Question #7 Kishi makes $7 an hour working at the grocery store and $10 an hour delivering newspapers. She cannot work more than 20 hours per week but wants to make at least $90 every week. Write a system of inequalities to model this situation. Answer: 𝒈 + 𝒏 ≤ 𝟐𝟎 𝟕𝒈 + 𝟏𝟎𝒏 ≥ 𝟗𝟎 Question #8 Write a system of inequalities that represents the graph. Answer: 𝒚 ≥ 𝟑𝒙 − 𝟓 𝒚 < 𝟑𝒙 + 𝟒 Question #9 Write a system of inequalities that represents the graph. Answer: 𝒚 ≤ −𝒙 + 𝟓 𝒚≥𝒙+𝟐 Question #10 Is (2,2) a solution the following system of equations? 𝑥 + 𝑦 ≤ 20 15𝑥 + 10𝑦 ≥ 90 Answer: No…the solution doesn’t work in the second inequality.
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