Quiz about Solving Systems of Nonlinear Equations by Graphing

Question 1

Solve by graphing on Desmos:

y = x² + 3x - 5

y = x + 3

Accepted Answer

(-4, -1) and (2, 5)

Answer

(-4, 2) and (-1, 5)

Answer

(2, -1 and (-4, 5)

Answer

(-4, 1) and (2, -1)

Question 2

Solve by graphing on Desmos:

y = x² - 4x + 6

y = x + 2

Accepted Answer

(1, 3) and (4, 6)

Answer

(3, 1) and (6, 4)

Answer

(-1, 1) and (4, 2)

Answer

(1, 4) and (3, 6)

Question 3

Solve by graphing on Desmos:

y = 5

y = 2x² - 16x + 29

Accepted Answer

(6, 5) and (2, 5)

Answer

(2, 6)

Answer

(6, 2)

Answer

(5, 6) and (5, 2)

Question 4

Solve by graphing on Desmos:

y = x² + 4

y = -x² - 4

Accepted Answer

No solution

Answer

(0, 0) and (0, 4)

Answer

(0, 4) and (0, -4)

Answer

(4, -4)

Question 5

Solve by graphing on Desmos:

y = x² - 3x

y = -x² - 3x

Accepted Answer

(0, 0)

Answer

(0, 0) and (0, 3)

Answer

(3, 0) and (-3, 0)

Answer

No solution

Question 6

Identify the solution to the system graphed here.

Accepted Answer

(-4, 1)

Answer

(-4, 0) and (1, 0)

Answer

(-4, -1)

Answer

No solution

Question 7

Identify the solution to the system graphed here.

Accepted Answer

No solution

Answer

(0, 4) and (0, -2)

Answer

(2, -2)

Answer

(0 4)

Question 8

Identify the solution to the system graphed here.

Accepted Answer

(1, 5) and (-4, 0)

Answer

(1, 5) and (-2, 0)

Answer

(1, 5) and (0, -4)

Answer

No solution

Question 9

Question 9.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 10

Which of the following graphs correctly represents:
$$y=x^2$$
$$y=-2x+1$$

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 11

Determine if the point (2, 0) is a solution to the following system:
$$y=2x-4$$
$$y=x^2-4$$

Accepted Answer

Yes, because it works in both equations.

Answer

Yes, because it works in only one equation.

Answer

No, because it works in neither equation.

Answer

No, because it works in only one equation.

Question 12

Is the point (2, 7) a solution to this nonlinear system?

Accepted Answer

Yes a solution

Answer

No Not a solution

Question 13

Is the point (5, 3) a solution to this nonlinear system?

Accepted Answer

No Not a solution

Answer

Yes a solution

Question 14

Solve the System using ANY method:

$$y\ =\ -x^2+6x-9$$

$$y\ =\ x^2-2x-3$$

Accepted Answer

(3, 0) and (1, -4)

Answer

Answer

Answer

No solution! It is an Inconsistent System

Solving Systems of Nonlinear Equations by Graphing

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