One, None or Many Solution Equations

What is the definition of one solution?

• no matter what number is substituted in for the variable, the equation is ALWAYS true

• no matter what number is substituted in for the variable, the equation will NEVER be true

• there is only ONE number you can plug in for the variable to make the equation true

What is the definition of no solution?

• no matter what number is substituted in for the variable, the equation is ALWAYS true

• no matter what number is substituted in for the variable, the equation will NEVER be true

• there is only ONE number you can plug in for the variable to make the equation true

Solve:

2x + 1 = 2x - 1

• No Solution

• One Solution

• Infinitely Many Solutions

Solve:

3x + 15 = 3(x + 5)

• No Solution

• One Solution

• Infinitely Many Solutions

Solve:

2x + 1 = 2x - 1

• No Solution

• One Solution

• Infinitely Many Solutions

What is the solution to the equations?

• one solution
• no solution
• infinite solutions
• none of these

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

What is the solution to this equation?

• one solution
• no solution
• infinite solutions
• none of these

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

What is the definition of infinite solutions?

• no matter what number is substituted in for the variable, the equation is ALWAYS true

• no matter what number is substituted in for the variable, the equation will NEVER be true

• there is only ONE number you can plug in for the variable to make the equation true

3r - 5 = 2r

• No solution

• Infinitely many solutions

• One Solution

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

5x + 6 = 2 + 3x

• One Solution

• no solutions

• infinite solutions