Solving Equations with Graphs

• A

  1 Repeated Solution

• B

  2 Real Solutions

• C

  No Real Solutions

• D

  Half a Solution

Select the solutions to the equation

x² - x + 1 = 7

• x = 0

• x = 1

• x = -2

• x = 3

Select the solutions to the equation

2x² - 5x + 1 = 1

• x = 0.3

• x = 2.2

• x = 0

• x = 2.5

Select the solutions to the equation

x² + 3x + 2 = 11

• x = -4.9

• x = 1.9

• x = -1

• x = -2

Identify the nature of solution from the graph given.

• Consistent and unique solution

• Inconsistent : No solution

What is the solution? 

• 1

• -2

• (1, 2)

• (1, -1)

What is the solution? 

• 1

• -2

• (1, 2)

• (1, -1)

Label each line with the correct equation.

d

e

f

g

Select the solutions to the equation

x² - 6x + 6 = -1

• x = 1.6

• x = 4.4

• x = 2

• x = 4

The diagram shows part of the graph of y = x² – 4x + 1

Which option shows the straight line that you would draw on the graph to solve the equation for the solutions of x² – 2x - 3 = 0?

• y = 2x - 4

• y = -2x - 4

• y = -2x + 4

• y = 2x + 4