How Many Solutions?

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

CCSS.HSA.SSE.B.3

Solve:
2x + 1 = 2x - 1

• No Solution
• x = 0
• Infinitely Many Solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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

• No Solution
• x = 15
• Infinitely Many Solutions

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the solution to the equations?

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

Solve:
2x + 1 = 2x - 1

• No Solution
• x = 0
• Infinitely Many Solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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

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.6.EE.A.4

CCSS.6.EE.B.5

What is the solution to this equation?

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3