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**Grudge Ball: Chapter 3 Review**

Tuesday November 18 and Wednesday November 19

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**Grudge Ball: Instructions**

One question will be up on the board. You will have 3 minutes to complete the problem with your group. We will start with Group 1. Group 1 gets to answer the question. If they are correct, they may… Take one point away from any team –OR- Take a two-point shot to be able to take two points away from a team –OR- Take a three-point shot to be able to take three points away from a team You are allowed to split points among teams if you are taking multiple points away. If Group 1 gets the answer incorrect, we will move to Group 2 to answer. Once a group answers correctly, we will move to the next question. This time we will start with Group 2. We will review your questions at the end of the game, so make sure you write them down as you go!

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Grudge Ball #1: 2 minutes Does the following system have one solution, zero solutions, or infinitely many solutions? 3𝑥−2𝑦=8 4𝑦=6𝑥−5

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Grudge Ball #2: 2 minutes What is the classification of the following system of equations? 2𝑥+8𝑦=6 𝑥=−4𝑦+3

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**Grudge Ball #3: 3 minutes Solve the following systems of equations.**

𝑦=2𝑥−1 3𝑥−𝑦=−1

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**Grudge Ball #4: 3 minutes Graph the following system of inequalities:**

𝑥+2𝑦≤10 𝑥+𝑦≤3

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Grudge Ball #5: 2 minutes Given the following problem, set up a system of equations: Georgia has only dimes and quarters in her bag. She has a total of 18 coins that are worth $3.

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Grudge Ball #6: 3 minutes Given the following graph, what is the system of inequalities.

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**Grudge Ball #7: 3 minutes Solve the following system of equations**

3𝑚+4𝑛=−13 5𝑚+6𝑛=−19

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**Grudge Ball #8: 3 minutes Solve the following system of equations**

3𝑢+8=4𝑣 24𝑣=6−3𝑢

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Grudge Ball #9: 2 minutes Given the following problem, write a system of inequalities to model the situation: A gardener wants to plant at least 50 tulips and rose plants in a garden, but no more than 20 rose plants.

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**Grudge Ball #10: 5 minutes (Worth 2 points)**

Graph each system of constraints. Name all vertices. Then, find the values of x and y that maximize or minimize the objective function. 𝑥+2𝑦≥8 𝑥≥2 𝑦≥0 Minimum for 𝐶=𝑥+3𝑦

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