Solving Multi-Step Equations in Word Problems

This video tutorial covers how to write and solve equations for multi-step word problems. It begins with an introduction to the process, including defining variables and writing equations. Several examples are provided, such as fundraising scenarios, calculating costs, and age-related problems. Each example demonstrates how to set up and solve equations to find missing information. The video emphasizes the importance of writing clear let statements and conclusion statements.

What is the first step in writing an equation for a multi-step word problem?

• Write the conclusion statement

• Solve the equation

• Write a let statement to define your variable

• Write the equation

If 200 students attend a concert and each pays $3, how much money is raised from the students?

• $300

• $200

• $600

• $900

An electrician charges $50 per visit and $100 per hour. If he makes 3 visits and the total charge is $900, how many hours did he work?

• 6 hours

• 5 hours

• 4 hours

• 3 hours

If the total cost for 6 sandwiches and 6 beverages is $68.10, and each beverage costs $4.50, what is the cost of each sandwich?

• $5.85

• $6.85

• $7.85

• $8.85

Brianna's parents spent $270 on her birthday party for 40 guests. Each guest received a $5 party favor and a cupcake. What is the cost of each cupcake?

• $3

• $5

• $4

• $2

If the total cost after a discount is $22 for 8 bags of mulch, and each bag had a discount of $0.75, what was the original price per bag?

• $2.50

• $2.75

• $3.00

• $3.25

If Mary is 6 years older than her sister Kelly and the sum of their ages is 48, how old is Kelly?

• 22 years

• 21 years

• 23 years

• 20 years

Jill carried X pounds and Jack carried 4 pounds less than Jill. Together they carried 20 pounds. How much did Jill carry?

• 12 pounds

• 14 pounds

• 16 pounds

• 10 pounds

If the total number of students is 970, and the number of students arriving by bus is three times the number arriving by car, how many students arrive by car?

• 200

• 220

• 240

• 250

Caitlyn receives X Snapchats, Steven receives twice as many as Caitlyn, and Austin receives 4 more than Caitlyn. If their total is 539, how many Snapchats does Caitlyn receive?

• 115

• 110

• 105

• 100