Solving Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation where the variable appears on both sides of the equal sign, requiring manipulation to isolate the variable.

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 7x = 4x + 33?

Back

Subtract 4x from both sides to get 3x = 33.

Front

What is the solution to the equation 7x = 4x + 33?

Back

x = 11.

Front

How do you solve for f in the equation f - 4 = 6f + 26?

Back

Add 4 to both sides and then subtract 6f from both sides to isolate f.

Front

What is the solution to the equation f - 4 = 6f + 26?

Back

f = -6.

Front

What does it mean to simplify an equation?

Back

To combine like terms and reduce the equation to its simplest form.

Front

How do you solve the equation 12x - 15 = 3(2x + 3)?

Back

Distribute 3 to (2x + 3), then combine like terms and isolate x.

Front

What is the solution to the equation 12x - 15 = 3(2x + 3)?

Back

x = 4.

Front

What is the process to solve 5x - 14 = 8x + 4?

Back

Add 14 to both sides, then subtract 8x from both sides to isolate x.