Equations & Tape Diagrams

Front

What is a tape diagram and how is it used in solving equations?

Back

A tape diagram is a visual representation of a mathematical problem that uses rectangles to show the relationships between quantities. It helps in understanding the problem and setting up equations.

Front

How do you translate a word problem into an equation?

Back

Identify the quantities involved, determine the relationships between them, and express these relationships using mathematical symbols to form an equation.

Front

In the equation 23 = 4x + 17, what does 'x' represent?

Back

In this equation, 'x' represents the unknown quantity that, when multiplied by 4 and added to 17, equals 23.

Front

What does 'x' represent in the context of Shaun's problem with boxes?

Back

In Shaun's problem, 'x' represents the number of items in one box before any items are removed.

Front

How can you identify the components of an equation from a tape diagram?

Back

You can identify the components by analyzing the segments of the tape diagram, which represent different quantities and their relationships, and translating them into an equation.

Front

What is the significance of the number 6 in the equation 25 = 2 + 6x?

Back

The number 6 represents the number of equal parts labeled 'x' in the diagram, indicating how many times 'x' is being added to the constant 2.

Front

How do you determine the total number of items in a scenario involving multiple boxes?

Back

You multiply the number of boxes by the number of items in each box and then adjust for any items added or removed to find the total.

Front

What does the equation 2(x + 20) = 90 represent in Elena's walking scenario?

Back

This equation represents the relationship between the time Lin walked (x), the additional time Elena walked (20 minutes), and the total time Jada walked (90 minutes).

Front

How can you create a tape diagram for a word problem?

Back

To create a tape diagram, identify the key quantities in the problem, draw rectangles to represent these quantities, and label them to show their relationships.

Front

What is the first step in solving an application-based equation?

Back

The first step is to read the problem carefully, identify the known and unknown quantities, and determine what the problem is asking.