9/24 solving equations with variables on both sides 3

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to isolate the variable by moving all terms involving the variable to one side of the equation and constant terms to the other side.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to get the variable by itself.

Front

What is the first step in solving the equation f - 4 = 6f + 26?

Back

Add 4 to both sides to start isolating the variable f.

Front

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

Back

x = -6.

Front

What is the process to solve for v in the equation -15v - 40 = 23 - 8v?

Back

Combine like terms and isolate v by adding 15v to both sides and then solving for v.

Front

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

Back

It means to add or subtract terms that have the same variable raised to the same power.

Front

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

Back

x = -3.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 8x - 8 = -4x + 16?

Back

x = 2.

Front

What is the importance of maintaining balance in an equation when solving?

Back

You must perform the same operation on both sides of the equation to keep it true.