Equations with Variables 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 solve an equation with variables on both sides?

Back

1. Move all variable terms to one side of the equation. 2. Move constant terms to the other side. 3. Isolate the variable.

Front

What does it mean to isolate a variable?

Back

To manipulate an equation so that the variable is alone on one side, making it easy to determine its value.

Front

What is the first step in solving the equation 2c - 12 = 9c + 2?

Back

Move all terms involving 'c' to one side by subtracting 9c from both sides.

Front

What is the solution to the equation 2c - 12 = 9c + 2?

Back

c = -2.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

x = -3.

Front

What is the solution to the equation 3 - 5x = -9 + x?

Back

x = 2.

Front

What is the solution to the equation 8 - 9t = 21t - 17?

Back

t = 5/6.

Front

What is the solution to the equation 7w + 5 = 3w - 15?

Back

w = 5.

Front

What is a constant in an equation?

Back

A fixed value that does not change, such as numbers like 5 or -12.