Hanger Models and Solving One Step Equations

Front

What is a hanger model in mathematics?

Back

A hanger model is a visual representation used to solve equations, where weights are balanced on a hanger to illustrate the concept of equality.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation w - 4 = 18?

Back

Add 4 to both sides of the equation.

Front

What is the solution to the equation w - 4 = 18?

Back

w = 22.

Front

What is the equation represented by the hanger diagram with 5 weights of m totaling 50?

Back

5m = 50.

Front

How do you isolate the variable in the equation y + 3 = 6?

Back

Subtract 3 from both sides of the equation.

Front

What is the solution to the equation y + 3 = 6?

Back

y = 3.

Front

What is the equation for the hanger model that shows 2 times a variable y plus 10 equals 31?

Back

2y + 10 = 31.

Front

How do you solve the equation 2y + 10 = 31?

Back

Subtract 10 from both sides, then divide by 2.

Front

What is the solution to the equation y - 7 = 10?

Back

y = 17.