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How To Solve Geometry Problems Step By Step

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Algebra AGE WORD PROBLEM Lets solve it step-by-step…

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Read Also: Houghton Mifflin Harcourt Geometry Practice Workbook Answers

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Solving Two

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How To Solve Algebra Problems Step

  • B.B.A., Finance and Economics, University of Oklahoma

Solving Algebra word problems is useful in helping you to solve earthly problems. While the 5 steps of Algebra problem solving are listed below, the following will help you learn how to first identify the problem.

  • Identify the problem.
  • Verify that the answer makes sense.
  • Read Also: Chapter 3 Practice Test Geometry

    Solving Problems Using Area And Surface Area

    You may also encounter real-world geometric problems that ask you to find the area of 2-dimensional figures or the surface area of 3-dimensional figures. The key to solving these problems is to look for ways to break the region into smaller figures of which you know how to find the area.


    Mr. Elder wants to cover a wall in his kitchen with wallpaper. The wall is shown in the figure below.

    If wallpaper costs $1.75 per square foot, how much will Mr. Elder spend on wallpaper to completely cover this wall, excluding sales tax?

    To solve this problem, let’s use the 4-step problem solving model.

    Step 1: Read, understand, and interpret the problem.

    • What information is presented?

    Step 4: Evaluate your answer.

    • Does my answer make sense?
    • Did I answer the question that was asked?
    • Are my units correct?


    To match their new roof, Mrs. Serafina decided to have both pentagonal sides of their house covered in aluminum siding. Their house is in the shape of a pentagonal prism with the dimensions shown in the diagram.

    A contractor gave Mrs. Serafina an estimate based on a cost of $3.10 per square foot to complete the aluminum siding. How much will it cost the Serafina family to have the aluminum siding installed?

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    Algebra CAR WORD PROBLEM Lets solve it step-by-step
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    Also Check: How To Find Kp In Chemistry

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    Develop The Plan To Solve It

    There are four simple steps which one needs to go through in order to develop a plan to solve it. The steps are as mentioned below:

    • Firstly one needs to figure out the formula you will need to solve the problem. Here you need to spend some time reviewing the concepts in your textbooks which will help you solve the problem
    • You need to write down your need in order to get the answer to your problem. For this, you need to make a step-by-step list of the things which you need to solve the problem and also help you to stay organised
    • In case there is an easier problem which is available then you could probably work on that first to solve it. Sometimes, the formulas are repetitive for solving both the problems. This will give you some more time to solve the difficult problem
    • You can make an educated guess about the answer so that you can try and get the estimate the answer before you start to solve it. Here you can identify the number and other factors as well that will contribute to the same. Lastly, review the estimate and then check if you haven’t left out on anything

    Read Also: Algebra With Pizzazz Objective 4 C

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    Solution To World’s Hardest Easy Geometry Problem: Stage : Trial Run And Key Pattern Discovery

    Let us put the required labels such as A, B, C and see the figure again.

    It is easy to evaluate many of the angle values quickly. Do that. We have also done it. This is trial run, always on the cards.

    The angle values we get are,

    $\angle BSC=\angle DSE=180^0-=50^0$,

    $\angle BSD=\angle CSE=180^0-50^0=130^0$,

    $\angle BDC=180^0-=40^0$,

    $\angle BEC=180^0-=30^0$.

    Go ahead, jot down the angle values.

    Finally this may not be used in the solution, but the good thing about this isnow you know how far you can go easily and meet the first bottleneck.

    Till now we have used only one geometry concept,

    Sum of three angles in a triangle is $180^0$.

    But now we can discover the most important pattern till this point of time,

    $\triangle ABC$ is isosceles, as $\angle ABC=70^0+10^0=60^0+20^0=80^0=\angle ACB$.

    As a bonus we know the value of the $\angle BAC=180^0-2\times=20^0$.

    This is the first key pattern identification.

    Still the values of three key angles, $\angle ADE$, $\angle SDE$, $\angle DEA$ elude us.

    This is natural as the puzzle is hard.

    In such a puzzle, unless we introduce new elements in the given puzzle figure, the deadlock cannot be broken.

    At the end of this first stage of trial run, we discover the second key pattern,

    $\triangle ADC$ is also isosceles as $\angle CAD=\angle DCA=20^0$.

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    How Do You Solve Word Problems In Math

    Ask yourself this, what do you think is the #1 phrase a student says as soon as they see a word problem?

    You guessed it, my teacher friend, I dont know how to do this! I think the most common question I get when Im teaching my math classes, is how do I solve this?

    Students see word problems and immediately enter freak-out mode! Lets take solving word problems in the classroom and make it easier for students to SOLVE the problem!

    How To Solve Math Word Problems In An Easy Way

    Lets Solve For The Angle Using TANGENT.Step-by-Step.

    When we read or hear the word mathematics, it creates complex equations and calculations in our minds, especially when solving word problems.

    Mathematical terms are sometimes very confusing, and we fail to understand the demand of the question or what we have to calculate.

    Do you consider mathematics a difficult subject?

    I think your answer will be yes because mathematics includes a wide range of formulas, equations, figures, and other concepts. When we stuck at the calculations, we think about who creates this mathematics and why?

    Deal with word problems is not easy, particularly for children who are learning the basics of maths.

    They need to translate the english sentence and words into mathematics, and this translation they found frustrating.

    In this blog, we will guide you on how to solve math word problems in an easy way. This step-by-step guide to solving math word problems will make you capable enough to solve these problems.

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    Why Is It Important To Read Mathematics

    Mathematics is an essential part of our education. It boosts mental ability and reasoning power. In addition, mathematics is crucial to read other subjects such as science, economics, social science, art, etc. Furthermore, the workforce in all fields in the future will demand it. Hence if you want to be a successful engineer, scientist, and professor, you need to enhance your mathematical skills.

    Here are the top steps of how to solve math problem with ease.

    Read Carefully Understand And Identify The Type Of Problem

    When you first start studying math, check the type of problem — whether it is a word problem, of concerning fractions, quadratic equations, or any other type.

    Define the category in which your math problem fits in before you move forward as it will help with the best solution to solve it.

    Reading the problem carefully and ensuring that you have understood the problem correctly is extremely important for taking the next steps.

    Also Check: What Is Hydraulic Lift In Physics

    Solving Problems Using Proportionality

    Proportional relationships are another important part of geometric problem solving.

    A woodblock painting has dimensions of 60 centimeters by 79.5 centimeters. In order to fit on a flyer advertising the opening of a new art show, the image must be reduced by a scale factor of 1/25.

    What will be the final dimensions of the image on the flyer?

    Measuring Problem

    For summer vacation, Jennifer and her family drove from their home in Inlandton to Beachville. Their car can drive 20 miles on one gallon of gasoline. Use the ruler to measure the distance that they drove to the nearest 1/4 inch, and then calculate the number of gallons of gasoline their car will use at this rate to drive from Inlandton to Beachville.

    A blueprint for a rectangular tool shed has dimensions shown in the diagram below.

    Todd is using this blueprint to build a tool shed, and he wants to surround the base of the tool shed with landscaping timbers as a border. How many feet of landscaping timbers will Todd need?

    Practice #2

    A scale model of a locomotive is shown. Use the ruler to measure the dimensions of the model to the nearest 1/4 inch, and then calculate the actual dimensions of the locomotive.

    Scale: 1 inch = 5 feet

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