Types of Solutions in Equations

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 solution to the equations?

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

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

• No Solution
• x = 15
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.7A

3r - 5 = 2r

• No solution
• Infinitely many solutions
• r = 5

Tags

CCSS.8.EE.C.7A

 $5\left(2+x\right)=45+5x$  

• No Solution

• Infinite Solutions

•  $x=35$  

•  $x=55$  

Tags

CCSS.8.EE.C.7

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

3x - 7 = 3(x - 3) + 2

• one

• no solutions

• infinite solutions

Tags

CCSS.8.EE.C.7A

 $6x+5=8+4x+2x$  

• No Solution

• Infinite Solutions

•  $x=3$  

•  $x=13$  

Tags

TEKS.MATH.8.8C