2.4a Variables on Both Sides

Front

What is a variable in an equation?

Back

A symbol used to represent an unknown value in mathematical expressions or equations.

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to find the value of the variable that makes both sides of the equation equal, often requiring rearranging the equation.

Front

How do you isolate a variable in an equation?

Back

By performing 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 9m + 14 = 2m?

Back

Subtract 2m from both sides to get all terms with m on one side.

Front

What is the solution to the equation 3x - 32 = -7x + 28?

Back

x = 6.

Front

What is the process to 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 does it mean if an equation has no solution?

Back

It means there is no value for the variable that can satisfy the equation.

Front

What is the solution to the equation 3y + 16 = 5y?

Back

y = 8.

Front

What is the importance of combining like terms in an equation?

Back

It simplifies the equation, making it easier to solve.

Front

What is the solution to the equation 11z - 5 = 9z + 7?

Back

z = 6.