Multi-Step Equation: One/No/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 for the variable that can satisfy the equation, often resulting in a contradiction.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value for the variable satisfies the equation, often resulting in an identity.

Front

Solve the equation: 5(x - 3) + 2x = 41

Back

x = 8

Front

Solve the equation: 4x - 8 + 2x - 4x = 2 + 2x - 10

Back

Infinite Solutions

Front

Solve the equation: 4 + 2(2x - 1) = 2 + 4x

Back

Infinite Solutions

Front

Solve the equation: -3x = -3x

Back

Infinite Solutions

Front

Solve the equation: 7(4x + 7) = 8x - 31

Back

x = -4

Front

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

Back

The first step is often to simplify both sides of the equation by combining like terms or distributing.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.