Determining the Number of Solutions to an Equation

How many solutions does an equation have when solving the equation results in the answer 12=12

• One solution

• No Solution

• Infinite Number of Solution

Tags

CCSS.8.EE.C.7A

How many solutions does an equation have if solving the equation results in the solution X=6

• one solution

• no solution

• infinite number of solutions

Tags

CCSS.8.EE.C.7A

An equation that has an infinite number of solution means that...

• Only one number can be substituted for x to make the equation true

• There are no numbers that can be substituted for x to make the equation true

• ANY real number can be substituted into the equation to make the equation true

Tags

CCSS.8.EE.C.7A

Solve 5x+5=3(5x-4)-10x

• one solution

• no solution

• infinite number of solutions

Tags

CCSS.8.EE.C.7A

Match the following equation to the number of solutions it has:

• One Solution

• 4x + 6 = 4x - 6

• No Solution

• 4x + 6 = 6x + 4

• Infinitely Many Solutions

• 4x + 6 = 2(2x + 3)

Tags

CCSS.8.EE.C.7A

Match the equation with the number of solutions.

16 + 6x = 2(3x + 8) ​ (a)  

15 = 7 - 3x ​ (b)  

2 + 4x - 12 = 4(x - 3) ​ (c)  

• Identity

• One Solution

• No Solution

Tags

CCSS.8.EE.C.7A

7x+5(x-1)= -5+12x

• one solution

• no solution

• infinite number of solutions

Tags

CCSS.8.EE.C.7A

6(y-5) = 2(10+3y)

• one solution

• no solution

• infinite number of solutions

Tags

CCSS.8.EE.C.7A

2+5k = 3k-6

• one solution

• no solution

• infinite number of solutions

Tags

CCSS.8.EE.C.7A

3x+12= 2x+15

• one solution

• no solution

• an infinite number of solution

Tags

CCSS.8.EE.C.7A