Solve equations with variables on both sides

Front

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

Back

It means to find the value of the variable that makes both sides of the equation equal by isolating the variable.

Front

What is the first step in solving the equation 3a - 24 = -a?

Back

Add 'a' to both sides to combine like terms.

Front

What is the solution to the equation 3a - 24 = -a?

Back

a = 6.

Front

How do you check if a number is a solution to an equation?

Back

Substitute the number into the equation and see if both sides are equal.

Front

Is 7 a solution to the equation 3x + 8 - x = 5x - 4?

Back

No, substituting 7 does not satisfy the equation.

Front

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

Back

a = -2.

Front

What is the importance of combining like terms when solving equations?

Back

It simplifies the equation, making it easier to isolate the variable.

Front

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

Back

To manipulate 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 2a + 4 = 7 + a?

Back

a = 3.

Front

What is the solution to the equation 2 + 14a = -8 + 9a?

Back

a = -2.