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 isolate a variable in an equation?

Back

By performing inverse operations on both sides of the equation to get the variable alone on one side.

Front

What does it mean to 'combine like terms'?

Back

To simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 8 - 9t = 21t - 17?

Back

Add 9t to both sides to start isolating the variable t.

Front

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

Back

x = -3.

Front

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

Back

w = 5.

Front

What is the solution to the equation 14p - 8 = 22 + 20p?

Back

p = -5.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6.

Front

What does it mean if an equation has no solution?

Back

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

Front

What is a variable in an equation?

Back

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