FORMULATE YOUR OWN WORD PROBLEM Formulate your own word problem involving LINEAR FUNCTIONS and to answer it with or without using the 5-step procedure. Show your complete solution at the back of this paper.
After completing this tutorial, you should be able to:
Use Polya's four step process to solve word problems involving numbers, percents, rectangles, supplementary angles, complementary angles, consecutive integers, and breaking even.
Step 1: Understand the problem.
Sometimes the problem lies in understanding the problem. If you are unclear as to what needs to be solved, then you are probably going to get the wrong results. In order to show an understanding of the problem, you, of course, need to read the problem carefully. Sounds simple enough, but some people jump the gun and try to start solving the problem before they have read the whole problem. Once the problem is read, you need to list all the components and data that are involved. This is where you will be assigning your variable.
Step 2: Devise a plan (translate).
When you devise a plan (translate), you come up with a way to solve the problem. Setting up an equation, drawing a diagram, and making a chart are all ways that you can go about solving your problem. In this tutorial, we will be setting up equations for each problem. You will translate them just like we did in Tutorial 2: Algebraic Expressions and Tutorial 5: Properties of Real Numbers.
Step 3: Carry out the plan (solve).
The next step, carry out the plan (solve), is big. This is where you solve the equation you came up with in your 'devise a plan' step. The equations in this tutorial will all be linear equations. If you need help solving them, by all means, go back to Tutorial 7: Linear Equations in One Variable and review that concept.
Step 4: Look back (check and interpret).
You may be familiar with the expression 'don't look back'. In problem solving it is good to look back (check and interpret).. Basically, check to see if you used all your information and that the answer makes sense. If your answer does check out, make sure that you write your final answer with the correct labeling.
Answers & Comments
Answer:
After completing this tutorial, you should be able to:
Use Polya's four step process to solve word problems involving numbers, percents, rectangles, supplementary angles, complementary angles, consecutive integers, and breaking even.
Step 1: Understand the problem.
Sometimes the problem lies in understanding the problem. If you are unclear as to what needs to be solved, then you are probably going to get the wrong results. In order to show an understanding of the problem, you, of course, need to read the problem carefully. Sounds simple enough, but some people jump the gun and try to start solving the problem before they have read the whole problem. Once the problem is read, you need to list all the components and data that are involved. This is where you will be assigning your variable.
Step 2: Devise a plan (translate).
When you devise a plan (translate), you come up with a way to solve the problem. Setting up an equation, drawing a diagram, and making a chart are all ways that you can go about solving your problem. In this tutorial, we will be setting up equations for each problem. You will translate them just like we did in Tutorial 2: Algebraic Expressions and Tutorial 5: Properties of Real Numbers.
Step 3: Carry out the plan (solve).
The next step, carry out the plan (solve), is big. This is where you solve the equation you came up with in your 'devise a plan' step. The equations in this tutorial will all be linear equations. If you need help solving them, by all means, go back to Tutorial 7: Linear Equations in One Variable and review that concept.
Step 4: Look back (check and interpret).
You may be familiar with the expression 'don't look back'. In problem solving it is good to look back (check and interpret).. Basically, check to see if you used all your information and that the answer makes sense. If your answer does check out, make sure that you write your final answer with the correct labeling.
Step-by-step explanation:
hope it helps:)