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

How do you isolate a variable in an equation?

Back

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

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation -11 + 3(b + 5) = 7?

Back

The first step is to distribute the 3 to both terms inside the parentheses: -11 + 3b + 15 = 7.

Front

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

Back

The solution is x = 1.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable.

Front

What is the solution to the equation 2x + 40 = 50 + x?

Back

The solution is x = 10.

Front

What does it mean to check your solution in an equation?

Back

To check your solution means to substitute the value back into the original equation to verify that both sides are equal.

Front

What is the solution to the equation 6r - 1 + 6r = 11?

Back

The solution is r = 1.

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first according to the order of operations.