Write equations with variables on both sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to solve for the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means ensuring that both sides of the equation are equal by performing the same operation on both sides.

Front

What is the first step in solving the equation 8 + 4x = 12 + 3x?

Back

Subtract 3x from both sides to begin isolating the variable.

Front

What is the solution to the equation 8 + 4x = 12 + 3x?

Back

x = 4.

Front

What is a real-world example of an equation with variables on both sides?

Back

The basketball team currently has 8 players and is growing by 4 players each month, while the volleyball team has 12 players and is growing by 3 players each month.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

What does it mean to 'combine like terms' in an equation?

Back

Combining like terms involves adding or subtracting terms that have the same variable and exponent.

Front

What is the equation to determine how many rides you would need to go on for both fairs to be of equal value?

Back

15 + 2.5x = 10 + 3x.