Equations Using Tape Diagrams and Hangers

Front

What is a tape diagram?

Back

A tape diagram is a visual representation of a mathematical problem that uses rectangles to show the relationships between quantities.

Front

What does it mean for a hanger to be balanced?

Back

A hanger is balanced when the total weight on one side equals the total weight on the other side.

Front

If a red circle equals 4, what does a blue triangle equal if the hanger is balanced?

Back

To find the value of the blue triangle, set up an equation based on the weights and solve for the unknown.

Front

What is the equation for a balanced hanger with weights represented as variables?

Back

The equation is formed by setting the sum of weights on one side equal to the sum of weights on the other side.

Front

How do you solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations.

Front

What is the value of x that makes the hanger balanced if the options are 6, 2, 3, 1/2?

Back

The value of x is 2.

Front

If the purple heart equals 2, what does the red quadrilateral equal to balance the hanger?

Back

The red quadrilateral must equal 4.

Front

Which equation matches the tape diagram: 5(h + 2) = 20, 5 + (h + 2) = 20, 5h + 2 = 20, h + 10 = 20?

Back

The correct equation is 5(h + 2) = 20.

Front

What is the first step in solving a tape diagram problem?

Back

Identify the known values and the relationships between the quantities.

Front

How can you check if your solution is correct in a hanger problem?

Back

Substitute your solution back into the original equation to see if both sides are equal.