Algebra 1 - Weebly



[pic] Algebra 1 Name:

Chapter 6 – Review Worksheet Date: Hour:

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1. As Darth Vader and Luke Skywalker duel in Episode IV, their light sabers create laser paths that follow linear patterns and create systems. For each graph, indicate whether the system has one solution, no solution, or infinite solutions.

|a. |b. |

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|c. |d. |

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2. In each graph shown, which circled point represents the solution to the system of equations?

|a. |b. |

3. In Episode I, Anakin races in his pod racer. Each set of systems represents paths created by the racers as they try to reach the finish line. Solve each system by graphing to find where the racers crossed each others’ paths.

|a. [pic] |b. [pic] |c. [pic] |

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Movie Trivia

The robots, R2-D2 and C-3PO, are two of only four characters who appear in all six of the Star Wars films. Find the solution to each system below using the method indicated. Identify the systems that have exactly ONE solution, and those are the other two characters who appear in all six films.

4. Solve each system using the substitution method.

|a. Is it Queen Amidala? |b. Is it Darth Vader? |

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5. Solve each system using the elimination method.

|a. Is it Luke Skywalker? |b. Is it Obi-Wan Kenobe? |

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6. In the Star Wars series, there were many strange creatures with various numbers of legs. The Gungans are native to the swamps of planet Naboo, as are the Falumpasets.

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a. Suppose there was a group of 5 Gungans surrounded by a group of 16 Falumpasets. When counted, there were 74 legs. Write an equation that represents this situation.

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b. Another group had only 2 Gungans, and only 8 Falumpasets. Here, there were 36 legs. Write an equation that represents this situation.

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c. Solve the system of equations written in Parts (a) and (b) to determine the number of legs each creature has.

7. a. Suppose during the battle on Endor, there were only 20 Ewoks at first, but they were coming into battle at a rate of 5 Ewoks every minute. Write an equation that represents this situation.

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b. The Storm Troopers started with 72 fighters, but they were being battled off at a rate of 8 Storm Troopers every minute. Write an equation that represents this situation.

____________________

c. Solve the system of equations created in Parts (a) and (b). After how many minutes were the number of Ewoks equal to the number of Storm Troopers?

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Movie Trivia

8. Each Star Wars movie begins with an opening “crawl” and then the camera pans down, with one exception. What is the only Star Wars movie in which the camera pans up after the opening crawl? To find the answer, match each inequality in the top row with the correct graph shown in the bottom row. Use a straight edge to draw a line connecting the dots. The numbers that do NOT get crossed out provide the answer of Episode _____ .

|[pic] |[pic] |[pic] |[pic] |[pic] |[pic] |

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9. In Episode IV, Luke Skywalker, Han Solo, and Chewbacca travel on the Millennium Falcon in search of the Death Star. They have been given three inequalities and five ordered pairs. Only one of the ordered pairs is a solution to ALL of the inequalities, and that is the location of the Death Star. Determine whether each point is a solution to each inequality, and find the ONE ordered pair that satisfies them all.

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|[A] (0, 0) | | | |

|[B] (–2, 5) | | | |

|[C] (3, 2) | | | |

|[D] (6, –0) | | | |

10. The Star Wars characters come from many different planets. Chewbacca, who travels with Han Solo, is a Wookie from Kashyyyk. Princess Leia was sent to planet Alderaan after she was born in order to protect her from her father. Solve each system by graphing to find the region where you might find each given planet.

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|a. Kashyyyk: [pic] |b. Alderaan: [pic] |

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Refer to the graphs above. Which ordered pair(s) listed below would be part of the solution to each system? There could be more than one.

|[A] (0, 0) [B] (2, 0) |[A] (0, 0) [B] (0, 1) |

| | |

|[C] (3, –2) [D] (0, 1) |[C] (4, 5) [D] (3, 0) |

| | |

|[E] (–1, 4) [F] (–2, –4) |[E] (–4, –1) [F] (5, –3) |

11. The Jedi Master, Yoda, tells Luke, “Face danger, you will. Get the best of you, your anger will.” More specifically:

The number of times you will face danger is double the number of times your anger will get the best of you.

Three multiplied by the number of times you will face danger minus the number of times your anger will get the best of you is 35.

Luke correctly sets up a system of equations (shown below on the left), and solves the system (shown below on the right):

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Yoda is evaluating Luke’s work. Complete the problem yourself to decide whether you “Agree” or “Disagree” with Luke’s work.

12. Jar Jar Binks is a Gungan outcast who lives on Naboo. Though he always means well, he’s not always the smartest character and makes some mistakes. Which of the following graphs, if any, did Jar Jar Binks create correctly? If a graph is NOT correct, explain what he did wrong.

|a. [pic] |b. [pic] |c. [pic] |

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