Solving Equations (one, many or no solutions)

What is the definition of 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

• there is only ONE number you can plug in for the variable to make the equation true

What is the definition of no 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

• there is only ONE number you can plug in for the variable to make the equation true

What is the definition of infinite 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

• there is only ONE number you can plug in for the variable to make the equation true

What is the solution to this equation?

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

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

How many solutions does the following equation have?

3r - 5 = 2r

• No solution

• Infinitely many solutions

• One solution

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.8.EE.C.7A

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

5x + 6 = 2 + 3x

• One Solution

• no solutions

• infinite solutions

Solve:

2x + 1 = 2x - 1

• No Solution

• One Solution

• Infinitely Many Solutions

Solve:

2x + 1 = 2x - 1

• No Solution

• One Solution

• Infinitely Many Solutions