Tape Diagrams & Equations

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value in an equation.

Front

What does the equation 3x = 21 represent?

Back

It represents that three times a number (x) equals 21.

Front

How do you solve for x in the equation 3x = 9?

Back

Divide both sides by 3 to get x = 3.

Front

What does a tape diagram visually represent?

Back

A tape diagram visually represents the parts of a whole or the relationship between quantities.

Front

What is the unit rate?

Back

The unit rate is the amount of one quantity per one unit of another quantity.

Front

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

Back

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

Front

What is the equation represented by a tape diagram showing 3 equal parts and a total of 9?

Back

The equation is 3x = 9.

Front

In the equation x + 4 = 17, how do you find the value of x?

Back

Subtract 4 from both sides to get x = 13.

Front

What does the equation x + 3 = 9 mean?

Back

It means that if you add 3 to a number (x), the result is 9.

Front

How can you represent the equation 5x = 35 using a tape diagram?

Back

A tape diagram would show 5 equal parts, each representing x, totaling 35.