Solving Equations with Tape Diagrams and Hangers

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to show the relationship between quantities in an equation, often resembling a segment of tape.

Front

What does the variable 'x' represent in an equation?

Back

The variable 'x' represents an unknown value that we are trying to solve for in an equation.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression, such as the '3' in '3x'.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, such as the '21' in the equation '3x=21'.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 23 = x + 7?

Back

The solution is x = 16.

Front

What is the product in the equation 3x = 21?

Back

The product is 21.

Front

What is the first step to solve the equation x + 5 = 35?

Back

The first step is to subtract 5 from both sides of the equation.

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.