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 like addition, subtraction, multiplication, and division.

Front

What is the first step to solve the equation 10 = 4x - 2?

Back

Add 2 to both sides to isolate the term with x.

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 does it mean to perform inverse operations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

Front

Solve for x: 11 - 3x = 44.

Back

x = -11.

Front

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

Back

x = 1.

Front

How do you simplify the expression 2(4x - 4)?

Back

Distribute 2 to get 8x - 8.

Front

What is the first step to solve the equation -15 = 5a + 12 - 2a + 6?

Back

Combine like terms on the right side to simplify the equation.

Front

What is the solution to the equation 4x + 10 = -26?

Back

x = -9.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.