Writing equations from Word Problems

Front

What is the first step in writing an equation from a word problem?

Back

Identify the variables and what they represent in the context of the problem.

Front

How do you represent a total cost in an equation?

Back

Use the sum of individual costs, e.g., total cost = cost of item 1 + cost of item 2.

Front

What does the variable 'x' typically represent in equations derived from word problems?

Back

'x' usually represents the unknown quantity that you are trying to find.

Front

In the equation 10.95x + 12.57 = 89.22, what does 'x' represent?

Back

'x' represents the number of pizzas Mallory bought.

Front

How do you set up an equation when one quantity is longer than another?

Back

If one piece is longer, express it as x + length difference, e.g., if one piece is 26 cm longer, use x + 26.

Front

What is the equation for Jim's earnings if he earns $8 per hour and received $270 in tips?

Back

350 = 270 + 8h, where h is the number of hours worked.

Front

How do you find the weight of each book if the total weight is known?

Back

Set up the equation: total weight = (number of books) * (weight of each book) + weight of the bag.

Front

What does the equation 5x + 3 = 17 represent in Jada's problem?

Back

It represents the total weight of 5 books plus the weight of the empty bag equaling 17 pounds.

Front

What is the importance of defining variables in word problems?

Back

Defining variables helps clarify what each symbol represents, making it easier to set up equations.

Front

How can you check if your equation from a word problem is correct?

Back

Substitute your solution back into the equation to see if both sides are equal.