Hanger Models and Solving One Step Equations

Front

What is a hanger model in mathematics?

Back

A visual representation used to solve equations, where weights are balanced on a hanger to illustrate equality.

Front

What does the equation 6.8 = 2z + 2.2 represent?

Back

It shows that the total weight of 6.8 is balanced by two weights of 2.2 and an unknown weight represented by z.

Front

How do you solve the equation w - 4 = 18?

Back

Add 4 to both sides to get w = 22.

Front

What is the first step to solve the equation x + 12 = 20?

Back

Subtract 12 from both sides to isolate x.

Front

What does the equation 3x = 6 mean?

Back

It indicates that three times an unknown number x equals 6.

Front

How do you find the value of x in the equation x - 3 = 6?

Back

Add 3 to both sides to get x = 9.

Front

What is the solution to 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 does it mean to solve an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is the purpose of using hanger models?

Back

To visually demonstrate the balance of equations and help in understanding algebraic concepts.

Front

What is the solution to the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.