GVMS - Solve 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 by moving all terms containing the variable to one side of the equation 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 the variable in an equation?

Back

Isolating the variable means to manipulate 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 2 + 14a = -8 + 9a?

Back

The solution is a = -2.

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 principle of equality in solving equations?

Back

The principle of equality states that if you perform the same operation on both sides of an equation, the two sides remain equal.

Front

What is the solution to the equation 6a + 3 - 4a = 9?

Back

The solution is a = 3.

Front

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

Back

First, distribute 3 to get 3x - 12 = -3, then add 12 to both sides to get 3x = 9, and finally divide by 3 to find x = 3.

Front

What is the solution to the equation 5w + 5 = 8w - 10?

Back

The solution is w = 5.

Front

What is the importance of maintaining balance when solving equations?

Back

Maintaining balance ensures that the equality of the equation is preserved throughout the solving process.