Working Backwards Problem Solving Examples

We'll see how and when to use this process to solve word problems. He give Susan 8 pieces, but she says she doesn't need that many, so she gives him 3 pieces back.He gives Mandy 7 pieces, and lastly, he gives James 5 pieces.To undo this, we add 5 pieces to the 4 Dan has left, and 4 5 = 9, so now Dan has 9 pieces of candy. To do this, we add those 7 pieces to my Dan's 9 pieces, and 7 9 = 16, so Dan has 16 pieces of candy.

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Another characteristic to look for is whether solving the problem using a straightforward approach would involve a messy equation. If you tried solving by representing my initial amount of candy using a variable, say x, then you would have to set up an equation that involves a lot of adding and subtracting numbers: x - 8 3 - 7 - 5 = 4x = 21 Although this is a perfectly acceptable way to solve the problem, working backwards can avoid having to set up this equation before simplifying and solving it.

Lastly, one other indication that working backwards is a good way to go is when the problem looks like it can be undone.

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Try it risk-free There are many ways to go about solving word problems in mathematics.

This lesson will illustrate a particular solving process called working backwards.Anyone can earn credit-by-exam regardless of age or education level.In this App Flow, students will solve a video problem by using the strategy working backwards.That may sound odd, but basically, if a problem looks as though it is a series of steps that can be undone, then working backwards is a good way to go.It is very clear, in our candy example, that this is the case.There are many different ways to solve word problems, so it is useful to know when working backwards is a good way to go.Some characteristics of word problems that indicate working backwards is a good solving process to use are as follows: Did you know…This tells us that Dan had 21 pieces of candy to start with. As we said, there are multiple ways to go about solving word problems, so it is useful to know when the process of working backwards is the best solving option.There are certain characteristics of word problems that indicate working backwards should be used to solve the problem.We start at the end of the problem and work through to the beginning.In other words, we do as the name of this solving process suggests - we work backwards!

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