Solving Multi-Step Equations with Variables on Both Sides

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 such as 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 have variables on both sides of an equation?

Back

It means that the variable appears on both sides of the equation, requiring you to manipulate the equation to combine like terms and solve for the variable.

Front

What is the first step in solving the equation 4(2a + 3) = −3(a − 1) + 31?

Back

The first step is to distribute the numbers outside the parentheses: 8a + 12 = -3a + 3 + 31.

Front

What is the solution to the equation 39 - 3b = -7(8b + 2)?

Back

The solution is b = -1.

Front

How do you check if your solution to an equation is correct?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What does it mean to distribute in an equation?

Back

Distributing means multiplying a term outside the parentheses by each term inside the parentheses.

Front

What is the solution to the equation 2(x + 5) - 7 = 3(x - 2)?

Back

The solution is x = 9.

Front

What is the result of solving the equation 1.2(n + 0.96) = 30.6?

Back

The result is n = 24.54.