Multi-Step Equations: One, None, or Infinite Solutions

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

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, often resulting in a contradiction.

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.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value of the variable satisfies the equation, often resulting in a true statement.

Front

Solve: -4(3x + 2) = 3(-4x + 5)

Back

No Solution

Front

Solve: 3 + 5n = 5n + 3

Back

Infinite Solutions

Front

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

Back

Infinitely Many Solutions

Front

Solve: -2v + 4 = -3 -2v

Back

No Solution

Front

Solve: 36 - 7p = -7p + 35

Back

No Solution

Front

What is a contradiction in an equation?

Back

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