One Solution, No Solution, or Infinite Solutions

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there are no values that can satisfy the equation, meaning the lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if an equation has one solution?

Back

An equation has one solution when there is exactly one value that satisfies the equation, meaning the lines represented by the equations intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value satisfies the equation, meaning the lines represented by the equations are the same line.

Tags

CCSS.8.EE.C.8A

Front

Solve: 8z - 22 = 3(3z + 11) - z

Back

No Solution

Tags

CCSS.8.EE.C.7A

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

Tags

CCSS.8.EE.C.7A

Front

Solve: 3x - 8 = 3(x - 4) + 1

Back

No Solution

Tags

CCSS.8.EE.C.7A

Front

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

Back

Infinite Solutions

Tags

CCSS.8.EE.C.7A

Front

What is the first step to determine if an equation has no solution?

Back

Simplify both sides of the equation and check if the resulting equation leads to a contradiction.

Tags

CCSS.8.EE.C.7A

Front

What is the first step to determine if an equation has one solution?

Back

Simplify the equation and isolate the variable to find a specific value.

Tags

CCSS.8.EE.C.7B

Front

What is the first step to determine if an equation has infinite solutions?

Back

Simplify the equation and check if both sides are identical after simplification.

Tags

CCSS.8.EE.C.7A