Match an Equation to a Diagram/Story

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.

Front

How do you set up an equation from a word problem?

Back

Identify the quantities involved, define variables for unknowns, and translate the relationships into an equation.

Front

What does the variable 'x' typically represent in equations?

Back

The variable 'x' usually represents an unknown quantity that we are trying to solve for.

Front

What is the purpose of using equations in problem-solving?

Back

Equations help to model real-world situations mathematically, allowing us to find unknown values.

Front

How do you interpret the equation 10.95x + 12.57 = 89.22?

Back

This equation represents the total cost of pizzas (10.95 per pizza) and sodas (12.57) equaling the total spent ($89.22).

Front

What does the equation 40 = 5(x - 2) represent in Andre's story?

Back

It represents that Andre needs to save $40, and after mowing lawns for 5 weeks, he donates $2 each week.

Front

How can you find the value of 'x' in the equation 7 + 9x = 30?

Back

To find 'x', subtract 7 from both sides and then divide by 9.

Front

What is the first step in solving a word problem?

Back

Read the problem carefully to understand what is being asked and identify the key information.

Front

What does it mean to 'share' remaining items in a problem?

Back

It means to divide the remaining items equally among a specified number of people or groups.

Front

How do you determine the total cost in a multi-item purchase problem?

Back

Multiply the cost of each item by the quantity purchased and then sum all costs.