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 one solution?

Back

An equation has one solution if there is exactly one value for the variable that makes the equation true.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that can satisfy the equation.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value for the variable makes the equation true, indicating that the two sides of the equation are equivalent.

Front

Solve the equation: 8x + 38 = -3 (-6 - 4x)

Back

One Solution: x = -5.

Front

Solve the equation: 2(m+3)=2m+12

Back

No Solution.

Front

Solve the equation: 5y-15=5(y-2)

Back

No Solution.

Front

Solve the equation: 9y+8=9y-8

Back

No Solution.

Front

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

Back

No Solution.

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation, if possible, by combining like terms.