Tape Diagrams

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to illustrate relationships between quantities, often used in solving word problems in mathematics.

Front

How do you represent an equation using a tape diagram?

Back

You can represent an equation by dividing a tape into segments that correspond to the quantities in the equation, showing how they relate to each other.

Front

What does the equation 2y + 10 = 31 represent in a tape diagram?

Back

It represents a situation where two segments of length 'y' and an additional length of 10 combine to equal a total length of 31.

Front

What is the solution to the equation 3x = 6?

Back

x = 2.

Front

How can you find the value of x in the equation 5(x + 17) = 23?

Back

First, simplify the equation to find x: 5x + 85 = 23, then solve for x.

Front

What does the equation 3x = 9 indicate in a tape diagram?

Back

It indicates that three equal segments of length 'x' add up to a total length of 9.

Front

What is the first step to solve the equation 23 = 4x + 17?

Back

Subtract 17 from both sides to isolate the term with x.

Front

What does the equation x + 3 = 6 represent?

Back

It represents a situation where a quantity 'x' plus 3 equals a total of 6.

Front

How do you interpret the equation 9 + 3 = x in a tape diagram?

Back

It shows that the total length represented by 'x' is equal to the sum of 9 and 3.

Front

What is the value of x in the equation 3x = 9?

Back

x = 3.