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 and equations.

Front

What does the coefficient in an expression represent?

Back

The coefficient is the numerical factor that multiplies a variable in an expression, indicating how many times the variable is counted.

Front

In the equation 3x=21, what is the value of x?

Back

x = 7

Front

What does the equation x + 5 = 35 represent in a tape diagram?

Back

It shows that a quantity x plus 5 equals 35, visually represented by a segment of length 35 divided into two parts: x and 5.

Front

How do you solve the equation 5x = 35?

Back

Divide both sides by 5 to find x: x = 35 / 5 = 7.

Front

What is the purpose of using tape diagrams in mathematics?

Back

Tape diagrams help visualize and solve problems involving addition, subtraction, multiplication, and division by breaking down quantities.

Front

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

Back

The equation is 3x = 9.

Front

If a tape diagram shows a total of 17 with one part being 4, what is the equation?

Back

The equation is x + 4 = 17.

Front

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

Back

x = 3.

Front

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

Back

It shows a total of x, with one part being 9 and the other part being 3.