Equations Using Tape Diagrams and Hangers

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to solve problems involving ratios, fractions, and equations. It helps to illustrate the relationships between different quantities.

Front

What does it mean for a hanger to be balanced in an equation?

Back

A hanger is balanced when the total weight on one side equals the total weight on the other side, indicating that the two sides are equal.

Front

If the purple heart = 2, what does the red quadrilateral have to equal to make the hanger balanced?

Back

4

Front

How do you find the value of a variable in an equation?

Back

To find the value of a variable, isolate the variable on one side of the equation using inverse operations.

Front

If the green moon = 6, what does each purple tear drop equal to make the hanger balanced?

Back

4

Front

What is the purpose of using variables in equations?

Back

Variables represent unknown values that can change, allowing us to create general equations that can be solved for specific values.

Front

If the red square = 4, what does each blue heart have to equal to make the hanger balanced?

Back

8

Front

What is an equation?

Back

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

Front

What is the first step in solving an equation?

Back

The first step is to simplify both sides of the equation if possible, and then isolate the variable.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging the equation so that the variable is on one side by itself, making it easier to solve.