(E7) Balanced Moves

Front

What is a balanced equation?

Back

A balanced equation is an equation where both sides have the same value, ensuring that the system is in equilibrium.

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 other side.

Front

What is the principle of maintaining balance in equations?

Back

The principle states that whatever operation you perform on one side of the equation must also be performed on the other side to maintain equality.

Front

What is the first step to solve the equation 2x + 5 = 4x?

Back

Subtract 2x from both sides to begin isolating the variable.

Front

If x + 5 = 10, what is the value of x?

Back

x = 5.

Front

What operation can you perform to both sides of the equation to keep it balanced?

Back

You can add, subtract, multiply, or divide both sides by the same non-zero number.

Front

What does it mean for a mobile to be balanced?

Back

A mobile is balanced when the total weight on one side equals the total weight on the other side.

Front

How do you find the unknown in an equation like 20 = 2x + 8?

Back

You can isolate x by first subtracting 8 from both sides and then dividing by 2.

Front

What is the solution to the equation 3x - 10 = x + 5?

Back

x = 7.

Front

What is the value of x in the equation 5 = 2x + 2?

Back

x = 1.5.