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 involving 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 alone on one side, making it easier to solve for its value.

Front

What is the solution to the equation 30 + 6t = 11t?

Back

The solution is t = 6.

Front

How do you solve the equation -8x - 8 + 3(x-2) = -3x + 2?

Back

First, distribute the 3, combine like terms, and then isolate x to find x = -8.

Front

What is the solution to the equation 7x = 3x + 24?

Back

The solution is x = 6.

Front

What is the process to solve the equation 10x + 9 = 4x - 9?

Back

Subtract 4x from both sides, then subtract 9 from both sides to isolate x, resulting in x = -3.

Front

How do you solve the equation 2(4x-3) - 8 = 4 + 2x?

Back

Distribute the 2, combine like terms, and isolate x to find x = 3.

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 that it is correct.

Front

What are the steps to solve an equation with fractions?

Back

Multiply through by the least common denominator to eliminate fractions, then solve the resulting equation.