Solving 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 the variable on one side of the equation by moving all terms containing the variable to one side and 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 3y + 7 = 2y - 5?

Back

y = -12.

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 14p - 8 = 22 + 20p?

Back

p = -5.

Front

What is the solution to the equation 7x = 4x + 33?

Back

x = 11.

Front

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

Back

f = -6.

Front

What is the solution to the equation -5k + 10 = -2k - 14?

Back

k = 8.

Front

What is the importance of maintaining balance when solving equations?

Back

Maintaining balance ensures that any operation performed on one side of the equation is also performed on the other side, keeping the equation true.