One Solution, No Solution, Infinite Solutions

Front

What does 'one solution' mean in an equation?

Back

Only this ONE solution will make the equation true.

Tags

CCSS.7.EE.B.4A

Front

What does 'no solution' mean 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

What does 'infinitely many solutions' mean in an equation?

Back

The equation is true for an infinite number of values of the variable.

Tags

CCSS.8.EE.C.7A

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

Tags

CCSS.8.EE.C.7A

Front

Solve: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions

Tags

CCSS.8.EE.C.7A

Front

Solve: 6x + 9 – x = 3x + 9 + x

Back

No Solution

Tags

CCSS.8.EE.C.7A

Front

What is an example of an equation with one solution?

Back

x + 2 = 5 (Solution: x = 3)

Tags

CCSS.6.EE.B.7

Front

What is an example of an equation with no solution?

Back

2x + 3 = 2x - 1 (No value of x will satisfy this equation.)

Tags

CCSS.8.EE.C.7A

Front

What is an example of an equation with infinitely many solutions?

Back

2(x + 1) = 2x + 2 (True for all x.)

Tags

CCSS.8.EE.C.7A

Front

How can you determine if an equation has no solution?

Back

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

Tags

CCSS.8.EE.C.7A