One, Many, No Solutions

Front

What does it mean if an equation has no solution?

Back

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

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

One Solution

Front

Solve: 3(x-2) + 1 = 3x - 5

Back

Infinitely Many Solutions

Tags

CCSS.8.EE.C.7A

Front

Solve: 12 (x + 3 ) = 4 (2x + 9 ) + 4x

Back

Infinitely Many Solutions

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has infinitely many solutions?

Back

The equation is true for all values of the variable.

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

Example of an equation with no solution: 2x + 3 = 2x + 5. What is the conclusion?

Back

No Solution.

Tags

CCSS.8.EE.C.7A

Front

Example of an equation with one solution: x + 2 = 5. What is the solution?

Back

x = 3.

Tags

CCSS.6.EE.B.7

Front

Example of an equation with infinitely many solutions: 4x + 8 = 4(x + 2). What is the conclusion?

Back

Infinitely Many Solutions.

Tags

CCSS.8.EE.C.7A