(Grade 11) Section 3.5 - Solving Problems Involving Quadratics

9 Questions | By Seixeiroda | Last updated: Oct 31, 2022 | Total Attempts: 144

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(Grade 11) Section 3.5 - Solving Problems Involving Quadratics - Quiz

Complete the following questions

Questions and Answers

1.

Use factoring to solve 3x² – 13x – 10 = 0
- A.
  
  X = 3/2 and x = 5
- B.
  
  X = 2/3 and x = –5
- C.
  
  X = –2/3 and x = –5
- D.
  
  X = –2/3 and x = 5
2.

A skateboard company models its profit with the function P(x) = –2x² + 13x – 15, where x of the number, in thousands that the company sells, and P(x) is the profit in tens of thousands of dollars. How many skateboards must the company sell to break even? Use factoring to solve
- A.
  
  At 1500 and 5000 skateboards
- B.
  
  At 150 and 500 skateboards
- C.
  
  At 1.5 and 5 skateboards
- D.
  
  At 1500 and 50 000 skateboards
3.

Which table of values could be used to solve –2x² – 5x + 3 = 0?
- A.
  
  Table A
- B.
  
  Table B
- C.
  
  Table C
- D.
  
  Table D
4.

Kevin threw a ball into the air. The height of the ball is modelled by the function h(t) = –5t²+35t, where h(t) is the height of the ball in metres and t is the time in seconds. When does the ball hit the ground?
- A.
  
  1s
- B.
  
  3.5s
- C.
  
  7s
- D.
  
  61.25s
5.

Use the graph of the function below to solve the corresponding quadratic equation.
- A.
  
  X = –16 and x = 0
- B.
  
  X = 0.8 and x = –4
- C.
  
  X = 0.8 and x = 0
- D.
  
  X = 4 and x = 1.25
6.

The population of a city, P(t), is modelled by the quadratic function P(t) = 8t² + 680t + 13200, where t is the time in years. Note t = o corresponds to the year 2000. According to the model, in what year will the population be 30 000?
- A.
  
  2100
- B.
  
  2021
- C.
  
  2121
- D.
  
  2210
7.

A seagull drops a sea urchin onto the rocks below from a height of 80m. The function h(t) = –5t²+80 models the height of the urchin, in metres, and t is the time in seconds. When will the urchin hit the rocks?
- A.
  
  –4s
- B.
  
  4s
- C.
  
  5s
- D.
  
  80s
8.

Which graph could you use to solve –2x² – 10x – 5 = 7
- A.
  
  Graph A
- B.
  
  Graph B
- C.
  
  Graph C
- D.
  
  Graph D
9.

The area, in m² of a rectangular deck is modelled by the function A(x) = 84x – 2x². What dimensions will give the maximum area for the deck?
- A.
  
  21 x 21 m
- B.
  
  21 x 42 m
- C.
  
  21 x 63 m
- D.
  
  21 x 882 m