Balance Equations Hangers

Front

What is a balance equation?

Back

A balance equation is a mathematical statement that shows two expressions are equal, often used to represent a situation where two sides must be equal, like in a hanger system.

Front

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

Back

Isolating a variable means manipulating the equation to get the variable alone on one side, making it easier to solve for its value.

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 operation can you perform to both sides of the equation to maintain balance?

Back

You can add, subtract, multiply, or divide both sides of the equation by the same number.

Front

If x + 3 = 8, what is the first step to isolate x?

Back

Subtract 3 from both sides of the equation.

Front

What is the solution to the equation x - 3 = 8?

Back

x = 11.

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 does it mean if an equation has no solution?

Back

It means there is no value for the variable that can make the equation true.

Front

What is the value of h if h + 5 = 18?

Back

h = 13.

Front

If the purple heart = 2, what does the red quadrilateral need to equal to balance the equation?

Back

The red quadrilateral must equal 4.