Solving Equations with variables on both sides

Front

What is the first step to solve the equation 3x + 6 = 10 + 3x + 4x?

Back

Combine like terms 3x and 4x on the same 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 will satisfy the equation.

Front

Solve for f in the equation f - 4 = 6f + 26.

Back

f = -6

Front

What is the solution to the equation 8 - 3a + 12 = 2a?

Back

a = 4

Front

What is the first step to solve the equation 24k - 72 = 3(8k - 16)?

Back

Distribute the 3 on the right side of the equation.

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 5(2x - 1) = -5 + 10x?

Back

All real numbers.

Front

What is the process of isolating a variable in an equation?

Back

It involves rearranging the equation to get the variable on one side and constants on the other.

Front

What is the solution to the equation 3x + 6 = 10 + 3x + 4x?

Back

There is no unique solution; the equation simplifies to a true statement.

Front

What is the significance of having no solution in an equation?

Back

It means that there are no values for the variable that can satisfy the equation.