multistep equations

Front

What is a multistep equation?

Back

A multistep 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 in solving the equation 4 = 2(x + 3)?

Back

The first step is to distribute the 2 to both terms inside the parentheses, resulting in 4 = 2x + 6.

Front

How do you isolate the variable in an equation?

Back

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

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for x: 5x - 4 + 2x = 3

Back

x = 1.

Front

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

Back

x = 1.

Front

What is the solution to the equation 4 - 2(x - 3) = 24?

Back

x = -7.

Front

What is the purpose of checking the solution of an equation?

Back

The purpose of checking the solution is to verify that the value found for the variable satisfies the original equation.

Front

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term by each term inside parentheses.

Front

What is the result of distributing 2 in the equation 2(x + 3)?

Back

The result is 2x + 6.