Solving 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 does it mean to distribute in an equation?

Back

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

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 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 - 3 + 4x = 27?

Back

The solution is x = 5.

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

The solution is x = 1.

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the result of the equation -6x + 8 = 10 after isolating x?

Back

The result is x = -1/3.

Front

What is the importance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation are equivalent.