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 for the variable. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

How do you solve an equation with variables on both sides?

Back

To solve an equation with variables on both sides, first, move all terms containing the variable to one side of the equation and constant terms to the other side. Then, isolate the variable.

Front

What is the first step in solving the equation -20y + 15 = 2 - 16y + 11?

Back

Combine like terms on the right side: 2 + 11 = 13, so the equation becomes -20y + 15 = 13 - 16y.

Front

What is the solution to the equation 6x + 5 = 10 + 5x?

Back

x = 5.

Front

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

Back

Isolating a variable means to manipulate the equation so that the variable is on one side by itself, allowing you to find its value.

Front

What is the goal of solving multi-step equations?

Back

The goal is to find the value of the variable that makes the equation true.

Front

What is the solution to the equation 250 + 16h = 210 + 18h?

Back

h = 20.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an equation.

Front

What is the solution to the equation 12k + 15 = 35 + 2k?

Back

k = 2.

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.