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 it mean to solve an equation?

Back

Finding the value of the variable that makes the equation true.

Front

What is the equation represented by the hanger model with 3 weights of x balancing 6?

Back

3x = 6

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation.

Front

What is the solution for y in the equation y + 3 = 6?

Back

y = 3

Front

What is the equation represented by the hanger model with 2 times (y + 10) equaling 31?

Back

2y + 10 = 31

Front

What is the first step to solve the equation 2y + 10 = 31?

Back

Subtract 10 from both sides.

Front

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

Back

It shows that 7 units of weight balance with 3 weights of w plus 1 unit.

Front

What is the solution for x in the equation 3x = 6?

Back

x = 2

Front

What is the purpose of using hanger models in solving equations?

Back

To visually demonstrate the concept of balance and equality in equations.