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 terms on one side of the equation by adding or subtracting terms from both sides.

Front

How do you combine like terms in an equation?

Back

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

Front

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

Back

Isolating a variable means to manipulate the equation so that the variable is alone on one side, making it easier to solve.

Front

What is the solution to the equation 14p - 8 = 22 + 20p?

Back

The solution is p = -5.

Front

How do you solve the equation 5y + 34 = -2(-7y + 1)?

Back

First, distribute -2 to both terms in the parentheses, then combine like terms and isolate y to find y = 4.

Front

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

Back

The solution is x = 2.

Front

How do you solve for w in the equation 8w - 8 = -4x + 16?

Back

Add 8 to both sides, then isolate w by dividing by the coefficient of w.

Front

What is the solution to the equation 2(x + 6) + 3 = 9 + 5x?

Back

The solution is x = 2.

Front

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

Back

Checking your solution ensures that the value satisfies the original equation, confirming it is correct.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.