Solving One-Step Equations in Word Problems

The video tutorial covers solving one-step word problems using algebra. It begins with an introduction to word problems, emphasizing the importance of identifying what is being asked. The first example involves calculating the initial odometer reading before a trip. The second example calculates how many Rafia flowers can fit in a container based on weight. The final example determines the hourly rate of a hand model based on total pay and hours worked. Each problem is solved step-by-step, highlighting the use of algebraic equations and inverse operations.

What is the first step in solving a word problem involving one-step equations?

• Guess the answer

• Identify what you are looking for

• Ignore the question mark

• Write down random numbers

If the odometer reads 20,186.7 miles after a trip of 62.3 miles, what was the reading before the trip?

• 20,248.0 miles

• 20,124.4 miles

• 20,000.0 miles

• 20,186.7 miles

In the odometer problem, what is the equation used to find the initial reading?

• X - 62.3 = 20,186.7

• X + 62.3 = 20,186.7

• X * 62.3 = 20,186.7

• X / 62.3 = 20,186.7

What operation is typically indicated by the word 'each' in a word problem?

• Addition

• Subtraction

• Multiplication

• Division

How many rafflesia flowers, each weighing 15 pounds, can fit into a container that holds a maximum of 240 pounds?

• 20 flowers

• 10 flowers

• 15 flowers

• 16 flowers

What is the inverse operation of multiplying by 15 in the rafflesia flowers problem?

• Subtracting 15

• Multiplying by 15

• Adding 15

• Dividing by 15

What is the unknown variable in the problem involving the hand model's hourly rate?

• Total hours worked

• Total pay received

• Number of clients

• Hourly rate

If a hand model works 10 hours and earns $1200, what is their hourly rate?

• $200 per hour

• $120 per hour

• $100 per hour

• $150 per hour

In the hand model problem, what is the total pay received for 10 hours of work?

• $1300

• $1200

• $1100

• $1000

What is the final step in solving the equation 10X = 1200?

• Subtracting 10 from both sides

• Adding 10 to both sides

• Dividing both sides by 10

• Multiplying both sides by 10