Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

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

Front

What is the first step in solving the equation 7p - 5 = 6p + 8?

Back

Combine like terms by moving all terms involving 'p' to one side.

Front

Solve for p: 7p - 5 = 6p + 8

Back

p = 13

Front

What is the first step in solving the equation 9m + 14 = 2m?

Back

Move all terms involving 'm' to one side by subtracting 2m from both sides.

Front

Solve for m: 9m + 14 = 2m

Back

m = -2

Front

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

Back

It means to simplify the equation by adding or subtracting terms that have the same variable.

Front

What is the first step in solving the equation 1 + 4n - 6n = 1 - 8n?

Back

Combine the like terms 4n and -6n.

Front

What is the solution to the equation 1 + 4n - 6n = 1 - 8n?

Back

n = 0.

Front

What is the first step in solving the equation -3(x - 2) = -8 + 9b?

Back

Distribute -3 to both x and -2.

Front

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

Back

z = 6.