Hanger Diagrams = Equations

Front

What is a hanger diagram?

Back

A visual representation used to illustrate equations, showing how different variables relate to each other.

Front

What does the equation 7 = 3w + 1 represent in a hanger diagram?

Back

It shows that the total weight (7) is balanced by three times the weight of 'w' plus one.

Front

How do you solve the equation 2z + 3 = 5?

Back

Subtract 3 from both sides to get 2z = 2, then divide by 2 to find z = 1.

Front

What is the first step to solve the equation 3x + 2 = 3?

Back

Subtract 2 from both sides to isolate the term with x.

Front

What does the equation 4w + 1.5 = 8.5 represent?

Back

It indicates that four times the weight 'w' plus 1.5 equals 8.5.

Front

What is the purpose of using variables in equations?

Back

Variables represent unknown values that can change, allowing us to express relationships mathematically.

Front

What does it mean if an equation is balanced?

Back

It means that both sides of the equation have the same value, indicating equality.

Front

How can 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 have the same value.

Front

What does the equation 7 = 3x + 1 tell us about x?

Back

It shows that if you subtract 1 from 7, then divide the result by 3, you can find the value of x.