Tape Diagrams & Equations

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.

Front

How do you find the value of x in a tape diagram?

Back

To find the value of x, set up an equation based on the relationships shown in the tape diagram and solve for x.

Front

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

Back

It represents that three equal parts (3x) total to 9, allowing you to find the value of one part (x).

Front

What is the unit rate?

Back

The unit rate is the amount of one quantity per one unit of another quantity, often expressed as 'dollars per pound' or 'miles per hour'.

Front

If you spend $40 on 5 pounds of concrete, how do you calculate the unit rate?

Back

Divide the total cost by the total weight: $40 ÷ 5 pounds = $8 per pound.

Front

What equation is represented by the tape diagram showing 5 equal parts totaling 35?

Back

The equation is 5x = 35.

Front

How do you solve the equation 5x = 35 for x?

Back

Divide both sides by 5: x = 35 ÷ 5 = 7.

Front

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

Back

It represents that one part (x) plus 3 equals a total of 9.

Front

How can you express the unit rate of 40 dollars for 5 pounds of concrete as an equation?

Back

The equation is: Total Cost = Unit Rate × Weight, or 40 = Unit Rate × 5.

Front

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

Back

x = 3.