Equations Using Tape Diagrams and Hangers

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to solve problems involving ratios, fractions, and equations. It helps to illustrate the relationships between different quantities.

Front

What does it mean for a hanger to be balanced?

Back

A hanger is balanced when the total weight on both sides is equal, meaning the forces acting on it are in equilibrium.

Front

If a red circle represents 4, how do you find the value of a blue triangle in a balanced hanger?

Back

To find the value of a blue triangle, set up an equation where the total weight on one side of the hanger equals the total weight on the other side, then solve for the unknown.

Front

What is the equation to solve for x in a balanced hanger?

Back

The equation is formed by setting the sum of weights on one side equal to the sum of weights on the other side, e.g., a + b = c.

Front

How do you determine the value of x when given a balanced equation?

Back

Isolate x by performing inverse operations to both sides of the equation until x is alone on one side.

Front

What is the value of x that makes this hanger balanced? (x + 2 = 4)

Back

x = 2.

Front

If the red circle = 4, what does each blue triangle have to equal to make the hanger balanced? (4 + 2x = 16)

Back

x = 6.

Front

Find the value of x in the equation: (2x + 4 = 24).

Back

x = 10.

Front

Find the value of h in the equation: (h + 2 = 4).

Back

h = 2.

Front

What is the value of x in the equation: (3x - 2 = 4)?

Back

x = 2.