Solving Equations with Variable on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 46 - 8p = 19 + p?

Back

The first step is to get all terms involving p on one side and constant terms on the other side.

Front

Solve: 46 - 8p = 19 + p

Back

p = 3

Front

What does it mean to combine like terms in an equation?

Back

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

Front

What is the solution to the equation 14y + 5 = 8y - 1?

Back

y = -1

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

Solve: 25x = 90 - 5x

Back

x = 3

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations applied to the variable, helping to isolate it.

Front

Solve: 4k + 39 = 7k + 6

Back

k = 11