Solving Multi-step Equations

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 such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to have no solution in an equation?

Back

No solution means that there are no values for the variable that will satisfy the equation.

Front

What does it mean to have infinitely many solutions?

Back

Infinitely many solutions occur when any value for the variable satisfies the equation, often seen in identities.

Front

Solve the equation: 3(x - 1) = 2x + 9

Back

x = 12

Front

Solve the equation: ½ (2x + 6) = 3x + 13

Back

x = -5

Front

Solve the equation: 4 - 6x - 2 = -2(3x - 1)

Back

Infinitely many solutions

Front

Solve the equation: ½x + ⅓x = 5

Back

x = 6

Front

Solve the equation: 2x - 1 = ¾x + 9

Back

x = 8

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.