# of Solutions to an Equation

What does it mean for an equation to have 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

• only ONE number will make the equation true

Tags

CCSS.6.EE.B.5

What does it mean for an equation to have infinitely many 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

• only ONE number will make the equation true

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What does it mean for an equation to have no 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

• only ONE number will make the equation true

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How many solutions does the following equation have:

−16 + 5n = −7(−6 + 8n) + 3

• one solution

• no solution

• infinitely many solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Determine which equation has infinitely many solutions.

• 3(2x - 1) = 3(4x - 1)

• 3(2x + 6) = 2(3x + 9)

• 2(3x + 4) = 3(2x + 3)

• 6(x - 5) = 6(3x - 4)

Tags

CCSS.HSA.REI.B.3

Determine the number of solutions the following equation has:

−5 + 5(n − 7) = −40 + 5n

• one solution

• no solution

• infinitely many solutions

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Determine the number of solutions the following equation has:

8x + 4(4x − 3) = 4(6x + 4) − 4

• one solution

• no solution

• infinitely many solutions

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

6x + 9 – x = 3x + 9 + x

• No Solution

• One Solution

• Infinite Solutions

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3