Types of Solutions

Front

What are the types of solutions for equations?

Back

1. Infinite Solutions 2. No Solution 3. One Solution

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has infinite solutions?

Back

The equation is true for all values of the variable.

Tags

CCSS.8.EE.C.7A

Front

What is the definition of no solution in an equation?

Back

No matter what constant is substituted in for the variable, the equation will NEVER be true.

Tags

CCSS.8.EE.C.7A

Front

Provide an example of an equation with no solution.

Back

7x - 3 = 7x + 5.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has one solution?

Back

Only this ONE solution will make the equation true.

Tags

CCSS.8.EE.C.7A

Front

Provide an example of an equation with one solution.

Back

3r - 5 = 2r, which simplifies to r = 5.

Tags

CCSS.8.EE.C.7A

Front

What is the first step to solve the equation 2(x - 2) = 2x - 4?

Back

Distribute the 2 on the left side.

Tags

CCSS.HSA.REI.A.1

Front

What happens when you simplify the equation 2(x - 2) = 2x - 4?

Back

You get 2x - 4 = 2x - 4, which indicates infinite solutions.

Tags

CCSS.8.EE.C.7A

Front

How can you identify an equation with no solution?

Back

If simplifying leads to a false statement, such as 0 = 5.

Tags

CCSS.8.EE.C.7A

Front

What is the significance of the variable in an equation?

Back

The variable represents an unknown value that we are trying to solve for.

Tags

CCSS.6.EE.B.7