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Relationship between Equations in Linear Systems. Systems of Equations with One Linear and One Quadratic Equation

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9.8Relationship between Equations in Linear Systems. Systems of Equations with One Linear and One Quadratic Equation

Relationship between Equations in Linear Systems. Systems of Equations with One Linear and One Quadratic Equation Revision Questions

1. . How many points do the graphs of the equations in the system below have in common?

x - y = 13x + y = 7
  1. 0
  2. 1
  3. 2
  4. An infinity

Correct Answer: B

2. . How many points do the graphs of the equations in the system below have in common?

x2 - y = 43x - 2y = - 1
  1. 0
  2. 1
  3. 2
  4. 3

Correct Answer: C

3. . The horizontal coordinate that belongs to the common point of the graphs of the equations in the system

2x - y = 43x - 2y = 0

is x = 8. What is the corresponding vertical coordinate of this common point?

  1. y = 8
  2. y = 10
  3. y = 11
  4. y = 12

Correct Answer: C

4. . The system of linear equations below is ...

- x + 2y = - 22x - 4y = 0
  1. Independent
  2. Tangent
  3. Inconsistent
  4. Dependent

Correct Answer: C

5. . What is the solution set of the system of linear equations shown in the figure?

Math Tutorials: Relationship between Equations in Linear Systems. Systems of Equations with One Linear and One Quadratic Equation Example
  1. (0, 0)
  2. (0, 4)
  3. (-1.4, 0)
  4. (-2, - 2)

Correct Answer: D

6. . Which of the following figures shows the graphical solution of the system of linear equations

x - 2y = 12x + y = 2
Math Tutorials: Relationship between Equations in Linear Systems. Systems of Equations with One Linear and One Quadratic Equation Example

Correct Answer: B

7. . What are the solutions for the system of equations

2x - y = 1x2 - y = 1
  1. (0, 1) and (2, 3)
  2. (0, -1) and (2, 3)
  3. (0, -1) and (2, -3)
  4. (-1, 0) and (3, 2)

Correct Answer: B

8. . How many common points do the graphs of the equations contained in the system below have?

2x + y = 1x2 - y = -1
  1. 0
  2. 1
  3. 2
  4. 3

Correct Answer: C

9. . The graph of the system of linear equations

- x + y = 2x + 3y = c

is shown below. What is the value of c?

Math Tutorials: Relationship between Equations in Linear Systems. Systems of Equations with One Linear and One Quadratic Equation Example
  1. 2
  2. 0
  3. -2
  4. -3

Correct Answer: C

10. . What are the solutions to the system of equations

x2 + y = 3x2 + 3y = 1
  1. (-2, -1) and (2, -1)
  2. (-2, -1) and (0, 0)
  3. (2, -1) only
  4. This system has no solutions

Correct Answer: A

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