Number of Solutions to an Equation

Level 2: Determine whether the equation has one, no, or infinite solutions.

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

• one

• no solutions

• infinite solutions

Level 2: Determine whether the equation has one, no, or infinite solutions.

5x + 6 = 2 + 3x

• one

• no solutions

• infinite solutions

How many solutions does the equation below have?
6(3a +1) - 30 = 3(2a - 4)

• Infinitely Many

• No Solution

• Three Solutions

• One Solution

Determine the number of solutions you will have if you solve an equation and are left with:

-6 = 6

• One Solution

• Infinite Solutions

• No Solution

• 6

How many solutions does the equation below have? 5h - 7 = 5(h - 2) + 3

• Infinitely Many Solutions

• No Solution

• Three Solutions

• One Solution

What is the solution to the equation shown?

• There is one solution, x = -2.

• There is no solution.

• The solution is all real numbers.

• Cannot be determined

Determine the number of solutions the following equation has:

8x + 4(4x − 3) = 4(6x + 4) − 4

• one solution

• no solution

• infinitely many solutions

Solve if possible:

2x + 1 = 2x - 1

• No Solution

• x = 0

• Infinitely Many Solutions

Solve if possible:

3r - 5 = 2r

• No solution

• Infinitely many solutions

• r = 5

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