Equations with Variables on Both Sides

Front

What is the first step to solve an equation with variables on both sides?

Back

The first step is to isolate one of the variables by moving all terms involving that variable to one side of the equation and all constant terms to the other side.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting the coefficients of the same variable or constant terms.

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation 4x - 9 = 2x + 3?

Back

The solution is x = 6.

Front

What is the solution to the equation 2x + 5 = 3x - 1?

Back

The solution is x = 6.

Front

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

Back

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

Front

What is the solution to the equation 5x - 3 = 2x + 9?

Back

The solution is x = 4.

Front

What is the solution to the equation 4y - 7 = 2y + 3?

Back

The solution is y = 5.

Front

How do you simplify the equation 2(3a + 5) = 4(a - 2) + 3?

Back

You distribute the terms and combine like terms to simplify the equation.

Front

What is the importance of balancing an equation when solving for a variable?

Back

Balancing an equation ensures that both sides remain equal as you perform operations to isolate the variable.