Linear Equations with One, None, and Infinitely Many Solutions

What is the solution to this equation?

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

Tags

CCSS.8.EE.C.7A

What is the definition of one solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true
• no matter what constant is substituted in for the variable, the equation will NEVER be true
• only this ONE solution will make the equation true

Tags

CCSS.8.EE.C.7A

What is the definition of no solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true
• no matter what constant is substituted in for the variable, the equation will NEVER be true
• only this ONE solution will make the equation true

Tags

CCSS.8.EE.C.7A

What is the definition of infinite solutions?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true
• no matter what constant is substituted in for the variable, the equation will NEVER be true
• only this ONE solution will make the equation true

Tags

CCSS.8.EE.C.7A

Solve:
2x + 1 = 2x - 1

• No Solution
• x = 0
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.7A

Solve:
3x + 15 = 3(x + 5)

• No Solution
• x = 15
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.7A

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x

• one
• no solutions
• infinite solutions

Tags

CCSS.8.EE.C.7A

Solve:
2x + 1 = 2x - 1

• No Solution
• x = 0
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.7A

Solve:
3x + 15 = 3(x + 5)

• No Solution
• x = 15
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.7A

6x + 9 – x = 3x + 9 + x

• No Solution
• One Solution
• Infinite Solutions

Tags

CCSS.8.EE.C.7A