12/9 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

Solve: 46 - 8p = 19 + p

Back

p = 3

Front

What is the first step in solving the equation 45m - 38 = 5m - 158?

Back

Combine like terms by moving all terms involving 'm' to one side and constant terms to the other.

Front

Solve: 45m - 38 = 5m - 158

Back

m = -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

Solve: 6a = 60 + 36a

Back

a = -2

Front

What is the purpose of simplifying an equation before solving it?

Back

Simplifying an equation makes it easier to solve by reducing complexity and eliminating unnecessary terms.

Front

Solve: 15y + 5y - 6 = 17y

Back

y = 2

Front

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

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.