Tape Diagrams & Equations

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to show the relationship between quantities. It looks like a bar or a series of bars that represent parts of a whole.

Front

What does the coefficient in an equation represent?

Back

The coefficient is the number that is multiplied by a variable in an equation. For example, in the equation 3x=21, 3 is the coefficient.

Front

How do you find the value of x in an equation?

Back

To find the value of x, you isolate x on one side of the equation by performing inverse operations.

Front

What is the equation represented by a tape diagram showing 3 equal parts totaling 9?

Back

The equation is 3x=9.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit of another quantity.

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 does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 5x=35?

Back

Divide both sides of the equation by 5 to isolate x.

Front

What is the solution to the equation x+3=9?

Back

The solution is x=6.

Front

How can you represent the equation 9+3=x using a tape diagram?

Back

You can show a tape diagram with one part representing 9, another part representing 3, and the whole representing x.