Tape Diagram Flashcard

Front

What is a tape diagram?

Back

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

Front

How do you set up an equation from a tape diagram?

Back

To set up an equation from a tape diagram, identify the total length represented and the parts that make up that total. Write an equation that equates the total to the sum of the parts.

Front

What does the variable 'x' typically represent in a tape diagram?

Back

In a tape diagram, 'x' usually represents an unknown quantity that needs to be solved for.

Front

How can you check if your equation from a tape diagram is correct?

Back

You can check if your equation is correct by substituting the value of 'x' back into the equation and verifying if both sides are equal.

Front

What is the first step in solving an equation derived from a tape diagram?

Back

The first step is to isolate the variable 'x' by performing inverse operations on both sides of the equation.

Front

What does the equation 4x + 39 = 87 represent in a tape diagram?

Back

This equation represents a tape diagram where 4 segments of length 'x' and an additional length of 39 units sum up to a total length of 87 units.

Front

If 50 = 5 + 18 + 3x, what does '3x' represent?

Back

In this equation, '3x' represents the total length of three segments of equal length 'x' in the tape diagram.

Front

What is the solution for x in the equation 4x + 39 = 87?

Back

x = 12.

Front

What is the solution for x in the equation 50 = 5 + 18 + 3x?

Back

x = 9.

Front

What does the equation 40 = 5(w - 2) represent in a tape diagram?

Back

This equation represents a tape diagram where the total length is 40, consisting of 5 segments each reduced by 2 units.