Multi-Step Equation Word Problems

Learning how to solve word problems is a very important in Algebra. In this lesson, we will learn how to solve multi-step equation word problems. Multi-step equation word problems require two or more operations to solve.

Multi-Step Equation Word Problems
Two problems illustrating how to solve word problems using equations.

1. The sum of four consecutive odd numbers is 840. What are the four numbers?
2. A cell phone company charges $30 per month plus $.07 per minute. If Mr. T’s January phone bill was $59.40, how many minutes did he talk?

Writing and Solving Multistep Equations

1. Green’ Gym charges a yearly fee of $75 plus $12.50 per session for a personal trainer. A new fitness center charges a yearly fee of $100 plus $10 per session with a trainer. For how many session is the cost of the two plans the same?
2. Nine fewer than half a number n is five more than four times the number. Find the number.
3. The table shows ticket prices for the local and minor league baseball team for fan club members and non-members. Determine the number of tickets for which the cost is the same.
4. Lacy is 4 years older than Madison. The sum of their ages is 12 more than twice Lacy’s age. Let m represent Madison’s age. Which of the following equations can be used to find Madison’s age?
5. Choose the word problem that matches the equation 2x + 17 = 3x -23

Multi-Step Equation Problem Solving
This video shows how to setup and solve a multi-step word problem using the variable assignment, equation, solution method.

How to set up and solve a word problem that contains a variable on both sides of the equation sign?

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