Tape/Hanger Diagrams and Equations

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to illustrate the relationships between quantities in a problem, often used in solving equations.

Front

What is a hanger diagram?

Back

A hanger diagram is a visual tool that represents equations, showing how different quantities balance each other, similar to a scale.

Front

How do you solve the equation 4d = 16?

Back

Divide both sides by 4: d = 16 / 4 = 4.

Front

What is the first step to solve the equation 8x + 10 = 50?

Back

Subtract 10 from both sides: 8x = 50 - 10 = 40.

Front

What is the solution for x in the equation 8x + 10 = 50?

Back

x = 5.

Front

How do you interpret a hanger diagram that shows 3(y + 200) = 3000?

Back

It means that three times the quantity (y + 200) is equal to 3000.

Front

What is the solution for x in the hanger diagram that represents 3x = 12?

Back

x = 4.

Front

What does it mean when an equation is balanced?

Back

It means that both sides of the equation have the same value.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to get the variable by itself on one side of the equation.

Front

What is the purpose of using diagrams in solving equations?

Back

Diagrams help visualize relationships and make it easier to understand and solve equations.