Multi Step Solving Equations with Variables on Both Sides

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the equation contains variables (like x or n) on both the left and right sides, requiring manipulation to isolate the variable.

Front

Solve: 9 - 4x = 12x + 25

Back

x = -1

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Solve: 5x + 15 = 10x - 40

Back

x = 11

Front

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

Back

To find the value of the variable that makes the equation true.

Front

Solve: −6n − 20 = −2n + 4(1 − 3n)

Back

n = 3

Front

What is the importance of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation and is correct.

Front

Solve: 11x - 44 = 9x - 20

Back

x = 12

Front

What does it mean to combine like terms in an equation?

Back

It means to simplify the equation by adding or subtracting terms that have the same variable and exponent.