One Solution, No Solution and Infinitely Many

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 8 = 3(x - 4) + 1

• one
• no solutions
• infinite solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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.HSA.REI.A.1

CCSS.HSA.REI.B.3

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

• one
• no solutions
• infinite solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:
2x + 1 = 2x - 1

• No Solution
• x = 0
• Infinitely Many Solutions

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

What is the solution to the equations?

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

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

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

3r - 5 = 2r

• No solution
• Infinitely many solutions
• r = 5

Tags

CCSS.8.EE.C.7A

14 - 2 ( 3p + 1) = 6 ( 4 + p)

• No Solution
• One Solution
• Infinite Solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3