Solve Equations Variable on Both Sides

Front

What is the first step to solve the equation f - 4 = 6f + 26?

Back

Isolate the variable f by moving all terms involving f to one side and constant terms to the other side.

Front

How do you combine like terms in the equation 30 + 6t = 11t?

Back

Subtract 6t from both sides to combine like terms, resulting in 30 = 5t.

Front

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

Back

x = -6.

Front

What does it mean to have a variable on both sides of an equation?

Back

It means that the variable appears in expressions on both sides of the equality, requiring manipulation to isolate the variable.

Front

How do you solve for n in the equation n - 1 = -11?

Back

Add 1 to both sides to isolate n, resulting in n = -10.

Front

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

Back

Rearrange the equation to get all terms involving p on one side and constants on the other, then solve for p.

Front

What is the solution to the equation 30 + 6t = 11t?

Back

t = 6.

Front

What is the importance of checking your solution after solving an equation?

Back

To verify that the solution satisfies the original equation and is correct.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is alone on one side of the equation.

Front

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

Back

f = -6.