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Algebra 1

Algebra 1. Unit 4 mid-unit Review. Algebra 1 – Unit 4 mid-unit Review. 1).

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Algebra 1

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  1. Algebra 1 Unit 4 mid-unit Review

  2. Algebra 1 – Unit 4 mid-unit Review • 1) • 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? • Allie’s Travels • Distance • 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • Time (seconds)

  3. Algebra 1 – Unit 4 mid-unit Review ANSWER • 1) • 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? • Allie’s Travels • Distance Something like this • 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • Time (seconds)

  4. Algebra 1 – Unit 4 mid-unit Review • The graph below show the weight of a bus carrying a bunch of 3rd graders. • Third grade School Bus • 42,000 • 40,000 • Weight (pounds) • 38,000 • 36,000 • 34,000 • 32,000 • 30,000 • 0 • 10 • 20 • 30 • 40 • 50 • 60 • 70 • 80 • passengers • 2) • What is the weight of the bus without any students? • 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?

  5. Algebra 1 – Unit 4 mid-unit Review ANSWER • The graph below show the weight of a bus carrying a bunch of 3rd graders. • Third grade School Bus • 42,000 • 40,000 • Weight (pounds) • 38,000 • 36,000 • 34,000 • 32,000 • 30,000 • 0 • 10 • 20 • 30 • 40 • 50 • 60 • 70 • 80 • passengers • 2) 30,000 lbs • What is the weight of the bus without any students? • 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

  6. Algebra 1 – Unit 4 mid-unit Review • The graph below show the weight of a bus carrying a bunch of 3rd graders. • Third grade School Bus • 42,000 • 40,000 • Weight (pounds) • 38,000 • 36,000 • 34,000 • 32,000 • 30,000 • 0 • 10 • 20 • 30 • 40 • 50 • 60 • 70 • 80 • passengers • 3) • Is this an increasing or decreasing function? • What is the unit rate? Specify the units.

  7. Algebra 1 – Unit 4 mid-unit Review ANSWER • The graph below show the weight of a bus carrying a bunch of 3rd graders. • Third grade School Bus • 42,000 • 40,000 • Weight (pounds) • 38,000 • 36,000 • 34,000 • 32,000 • 30,000 • 0 • 10 • 20 • 30 • 40 • 50 • 60 • 70 • 80 • passengers • 3) • Is this an increasing or decreasing function? • What is the unit rate? Specify the units. increasing 100 lbs/student

  8. Algebra 1 – Unit 4 mid-unit Review • The graph below show the weight of a bus carrying a bunch of 3rd graders. • Third grade School Bus • 42,000 • 40,000 • Weight (pounds) • 38,000 • 36,000 • 34,000 • 32,000 • 30,000 • 0 • 10 • 20 • 30 • 40 • 50 • 60 • 70 • 80 • passengers • 4) • Write the equation of this function in y=mx + b form.

  9. Algebra 1 – Unit 4 mid-unit Review ANSWER • The graph below show the weight of a bus carrying a bunch of 3rd graders. • Third grade School Bus • 42,000 • 40,000 • Weight (pounds) • 38,000 • 36,000 • 34,000 • 32,000 • 30,000 • 0 • 10 • 20 • 30 • 40 • 50 • 60 • 70 • 80 • passengers • 4) • Write the equation of this function in y=mx + b form. y = 100x + 30,000

  10. 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.

  11. Algebra 1 – Unit 4 mid-unit Review ANSWER • 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

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

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

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

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

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