Solving Multistep Equations with Variables on Both Sides

Front

What is a multistep equation?

Back

A multistep 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

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side of the equation and all other terms are on the opposite side.

Front

What is the first step in solving the equation 4x - 5x + 9 = 5x - 9?

Back

Combine like terms on the left side of the equation.

Front

How do you solve the equation 6z = 49 - z?

Back

Add z to both sides to get 7z = 49, then divide both sides by 7 to find z = 7.

Front

What is the solution to the equation 30 + 6t = 11t?

Back

Subtract 6t from both sides to get 30 = 5t, then divide both sides by 5 to find t = 6.

Front

What is the goal of solving equations?

Back

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

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 additional steps to isolate the variable.

Front

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

Back

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

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

Subtract 7x from both sides to get -4 = 3 + x, then subtract 3 from both sides to find x = -7.

Front

What is a coefficient in an equation?

Back

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