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

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.

Front

Solve the equation: 2x + 1 = 2x - 1

Back

No Solution

Front

What is the first step to solve the equation 3x + 2(4x - 4) = 3?

Back

Distribute the 2 to both terms inside the parentheses: 3x + 8x - 8 = 3.

Front

Solve: 3(x - 2) = 18

Back

x = 8

Front

What is the solution to the equation 6x - 4 = 8x?

Back

x = -2

Front

What does it mean if an equation has 'infinitely many solutions'?

Back

An equation has 'infinitely many solutions' when any value for the variable satisfies the equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation 3x + 2(4x - 4) = 3?

Back

x = 1

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.