Variables on Both Sides Equations

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value in an equation.

Front

What does it mean to solve an equation?

Back

Finding the value of the variable that makes the equation true.

Front

What is the goal when solving equations with variables on both sides?

Back

To isolate the variable on one side of the equation.

Front

What is the first step in solving the equation 10x + 9 = 4x - 9?

Back

Subtract 4x from both sides to get 6x + 9 = -9.

Front

How do you isolate the variable in the equation 6x + 9 = -9?

Back

Subtract 9 from both sides to get 6x = -18.

Front

What is the final step to solve for x in the equation 6x = -18?

Back

Divide both sides by 6 to find x = -3.

Front

What is the solution to the equation -7x - 36 = 20 - 3x?

Back

x = -14.

Front

How do you simplify the equation 5w + 5 = 8w - 10?

Back

Subtract 5 from both sides to get 5 = 3w - 10.

Front

What is the next step after simplifying to 5 = 3w - 10?

Back

Add 10 to both sides to get 15 = 3w.

Front

How do you find w in the equation 15 = 3w?

Back

Divide both sides by 3 to find w = 5.