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Algebra 1 Unit 4 mid-unit Review

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A motion detector is set up. Allie starts next to it and walks away at a constant rate for 3 seconds. She starts to run away, but slips and falls. After 2 seconds on the floor she composes herself and walks away at her original rate. What would this look like on the graph below? Algebra 1 – Unit 4 mid-unit Review 1) Allie’s Travels Time (seconds) Distance 1 2 3 4 5 6 7 8

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ANSWER Algebra 1 – Unit 4 mid-unit Review Something like this A motion detector is set up. Allie starts next to it and walks away at a constant rate for 3 seconds. She starts to run away, but slips and falls. After 2 seconds on the floor she composes herself and walks away at her original rate. What would this look like on the graph below? 1) Allie’s Travels Time (seconds) Distance 1 2 3 4 5 6 7 8

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The graph below show the weight of a bus carrying a bunch of 3 rd graders. Algebra 1 – Unit 4 mid-unit Review 2) Third grade School Bus passengers Weight (pounds) 10 30,000 32,000 34,000 36,000 38,000 40,000 42,000 020304050607080 a)What is the weight of the bus without any students? b)A bridge has a maximum weight of 18 tons (36,000 lbs). What is the greatest number of students that can ride on the bus without exceeding this weight?

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ANSWER Algebra 1 – Unit 4 mid-unit Review 30,000 lbs The graph below show the weight of a bus carrying a bunch of 3 rd graders. 2) Third grade School Bus passengers Weight (pounds) 10 30,000 32,000 34,000 36,000 38,000 40,000 42,000 020304050607080 a)What is the weight of the bus without any students? b)A bridge has a maximum weight of 18 tons (36,000 lbs). What is the greatest number of students that can ride on the bus without exceeding this weight? 60 students

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The graph below show the weight of a bus carrying a bunch of 3 rd graders. Algebra 1 – Unit 4 mid-unit Review 3) Third grade School Bus passengers Weight (pounds) 10 30,000 32,000 34,000 36,000 38,000 40,000 42,000 020304050607080 a)Is this an increasing or decreasing function? b)What is the unit rate? Specify the units.

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ANSWER Algebra 1 – Unit 4 mid-unit Review increasing The graph below show the weight of a bus carrying a bunch of 3 rd graders. Third grade School Bus passengers Weight (pounds) 10 30,000 32,000 34,000 36,000 38,000 40,000 42,000 020304050607080 100 lbs/student 3) a)Is this an increasing or decreasing function? b)What is the unit rate? Specify the units.

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The graph below show the weight of a bus carrying a bunch of 3 rd graders. Algebra 1 – Unit 4 mid-unit Review 4) Third grade School Bus passengers Weight (pounds) 10 30,000 32,000 34,000 36,000 38,000 40,000 42,000 020304050607080 Write the equation of this function in y=mx + b form.

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ANSWER Algebra 1 – Unit 4 mid-unit Review The graph below show the weight of a bus carrying a bunch of 3 rd graders. Third grade School Bus passengers Weight (pounds) 10 30,000 32,000 34,000 36,000 38,000 40,000 42,000 020304050607080 y = 100x + 30,000 4) Write the equation of this function in y=mx + b form.

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Algebra 1 – Unit 4 mid-unit Review 5) The height of the water in a local reservoir was 5 inches below normal. It rained during the next weeks so that the level rose ½ inch each day. Write an equation in y=mx+b form that models this situation.

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ANSWER Algebra 1 – Unit 4 mid-unit Review 5) The height of the water in a local reservoir was 5 inches below normal. It rained during the next weeks so that the level rose ½ inch each day. Write an equation in y=mx+b form that models this situation. y = ½ x – 5

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Algebra 1 – Unit 4 mid-unit Review 6) Line AB goes through the points (3, 4) and (-1, 5). a)Write the equation of a line that is parallel to line AB. b)Write the equation of a line that is perpendicular to line AB

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Line AB goes through the points (3, 4) and (-1, 5). a)Write the equation of a line that is parallel to line AB. b)Write the equation of a line that is perpendicular to line AB ANSWER Algebra 1 – Unit 4 mid-unit Review y = -1/4 x + b (b≠4.75) 6) y = 4x + b

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Algebra 1 – Unit 4 mid-unit Review 7) a)Write the equation of a vertical line that goes through the point (3, -9). b)Write the equation of a horizontal line that goes through the point (3, -9).

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a)Write the equation of a vertical line that goes through the point (3, -9). b)Write the equation of a horizontal line that goes through the point (3, -9). ANSWER Algebra 1 – Unit 4 mid-unit Review x = 3 y = -9 7)

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