One, None, Infinite Solutions

Front

What does it mean if an equation has one solution?

Back

An equation has one solution when there is exactly one value of the variable that makes the equation true.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has no solutions?

Back

An equation has no solutions when there is no value of the variable that can satisfy the equation.

Tags

CCSS.8.EE.C.7A

Front

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

Back

An equation has infinitely many solutions when any value of the variable makes the equation true.

Tags

CCSS.8.EE.C.7A

Front

Solve for x: 5x + 4 = 2x + 4

Back

x = 0 (One solution).

Front

Solve for x: 2x + 4 = 2x + 4

Back

Infinite solutions.

Tags

CCSS.8.EE.C.7A

Front

Solve for x: 3x - 7 = 3(x - 3) + 2

Back

Infinite solutions.

Tags

CCSS.8.EE.C.7A

Front

What is the solution type for the equation 0 = 8z + 8?

Back

-1 (One solution).

Tags

CCSS.6.EE.B.7

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is a contradiction in equations?

Back

A contradiction occurs when an equation simplifies to a false statement, indicating no solutions.

Tags

CCSS.8.EE.C.7A

Front

What is an identity in equations?

Back

An identity occurs when an equation is true for all values of the variable, indicating infinitely many solutions.

Tags

CCSS.8.EE.C.7A