Solving Equations with variables 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 of the equation.

Front

What does it mean when an equation has 'all real numbers' as a solution?

Back

It means that any value for the variable satisfies the equation.

Front

Solve for x: 5(2x - 1) = -5 + 10x

Back

All real numbers.

Front

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

Back

x = -3.

Front

How do you combine like terms in the equation -5k + 10 = -2k - 14?

Back

Add 5k to both sides and simplify.

Front

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

Back

f = -6.

Front

What is the process of checking your solution in an equation?

Back

Substitute the solution back into the original equation to verify.

Front

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

Back

It means that the variable appears in expressions on both sides of the equal sign.

Front

Solve for k: -5k + 10 = -2k - 14.

Back

k = 8.

Front

What is the importance of isolating the variable in an equation?

Back

It allows you to solve for the variable and find its value.