Writing 2-Step Equations from Word Problems

This video tutorial covers the setup of two-step word problems, focusing on identifying what is being asked, creating variables, recognizing key numbers and words, and writing equations. Several examples are provided, including finding a number, calculating the cost of pens, determining weekly allowance, planning an amusement park trip, and finding the cost of apples. The video emphasizes understanding the problem structure and using equations to find solutions.

What is the first step in setting up a two-step word problem?

• Choose a random variable

• Determine what the problem is asking for

• Identify the operation needed

• Write the final equation

What should you label your missing amount with in a word problem?

• The total sum

• A variable representing the unknown

• A random number

• A defined constant

Which words indicate multiplication in a word problem?

• Per, each

• Less, minus

• Divide, split

• Sum, add

In the example, what does '58 is the sum of three times a number' translate to in equation form?

• 3N = 58 - 4

• N = 58 / 3

• 58 = 3N + 4

• 58 = 3 + N

How much did each pen cost if Shawna had $20, bought 7 pens, and then had $6 left?

• $7 each

• $1 each

• $14 each

• $2 each

What operation does 'spent' suggest in the context of a word problem?

• Division

• Subtraction

• Addition

• Multiplication

If Chelsea spent half her allowance and then earned $8.50, ending with $13, what was her original allowance?

• $8.50

• $17

• $4.50

• $9

How many people can go to the amusement park if they have $300, parking costs $15, and tickets are $19 each?

• 13 people

• 12 people

• 15 people

• 14 people

What does the equation '300 = 15 + 19P' represent in the context of the amusement park problem?

• Tickets per person equals total minus parking

• Parking times people plus ticket cost

• Total people equals parking plus tickets

• Total cost equals parking plus tickets per person

How much did each apple cost if Madeline paid $3.09 for milk, bought 8 apples, and spent a total of $4.39?

• $0.41 each

• $1.65 each

• $0.25 each

• $0.16 each