Multi-Step Equations 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 like addition, subtraction, multiplication, and division.

Front

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

Back

Having variables on both sides of an equation means that the variable appears on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in a multi-step equation?

Back

To isolate a variable, perform inverse operations to move all terms containing the variable to one side and constant terms to the other side.

Front

What is the first step in solving the equation 3(x + 1) - 5 = 5x - 2?

Back

The first step is to distribute the 3 on the left side: 3x + 3 - 5 = 5x - 2.

Front

What is the solution to the equation 3(x + 1) - 5 = 5x - 2?

Back

The solution is x = 0.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

How do you solve the equation 12k + 15 = 35 + 2k?

Back

First, subtract 2k from both sides to get 10k + 15 = 35, then subtract 15 from both sides to get 10k = 20, and finally divide by 10 to find k = 2.

Front

What is the solution to the equation 4(2a + 3) = -3(a - 1) + 31?

Back

The solution is a = 2.

Front

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

Back

Checking your solution ensures that the value satisfies the original equation, confirming that the solution is correct.

Front

What is the process of distributing in an equation?

Back

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