One Solution, No Solution, or Infinite Solutions

Front

What is the definition of 'one solution'?

Back

Only this ONE solution will make the equation true.

Tags

CCSS.7.EE.B.4A

Front

What does 'no solution' mean in equations?

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?

Back

No matter what constant is substituted in for the variable, the equation is ALWAYS true.

Tags

CCSS.8.EE.C.7A

Front

How many solutions does the equation 3x + 15 = 3(x + 5) have?

Back

Infinitely Many Solutions.

Tags

CCSS.8.EE.C.7A

Front

How many solutions does the equation -4(3x + 2) = 3(-4x + 5) have?

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 + 5 (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

Front

How can you determine if an equation has infinitely many solutions?

Back

If simplifying leads to a true statement, like 0 = 0.

Tags

CCSS.8.EE.C.7A