Sunday, October 20, 2019
How to Solve Algebra Problems Step-By-Step
How to Solve Algebra Problems Step-By-Step Solving Algebra word problems is useful in helping you to solve earthly problems.à à While the 5 steps of Algebra problem solving are listed below, this article will focus on the first step, Identify the problem. Use the Following Steps to Solve Word Problems: Identify the problem.Identify what you know.Make a plan.Carryout the plan.Verify that the answer makes sense. Identify the Problem Back away from the calculator; use your brain first.à Your mind analyzes, plans, and guidesà in the labyrinthine quest for the solution. Think of the calculatorà as merely a tool that makes the journey easier.à After all, you wouldnââ¬â¢t want a surgeon to crack your ribs and perform a heart transplant without first identifying the source of your chest pains. The steps of identifying the problem are: Express the problem question or statement.Identify the unit of the final answer. Step 1:à Express the Problem Question or Statement In Algebra word problems, the problem is expressed as either a question or a statement. Question: How many trees will John have to plant?How many televisions will Sara have to sell to earn $50,000? Statement: Find the number of trees John will have to plant.Solve for the number of televisions Sara will have to sell to earn $50,000. Step 2: Identify the Unit of the Final Answer What will the answer look like? Now that you understand the word problemââ¬â¢s purpose, determine the answerââ¬â¢s unit. For example, will the answer be in miles, feet, ounces, pesos, dollars, the number of trees, or a number of televisions? Example 1: Algebra Word Problem Javier is making brownies to serve at the family picnic.à If the recipe calls for 2 à ½ cups of cocoa to serve 4 people, how many cups will he need if 60 people attend the picnic? Identify the problem:à How many cups will Javier need if 60 people attend the picnic?Identify the unit of the final answer: Cups Example 2: Algebra Word Problem In the market for computer batteries, the intersection of the supply and demand functions determines the price, p dollars, and the quantity, q, of goods sold.Supply function: 80q - p 0Demand function:à 4q p 300Determine the price and quantity of computer batteries sold when these functions intersect. Identify the problem:à How much will the batteries cost and how much will be sold when supply and demand functions meet? Identify the unit of the final answer: The quantity, or q, will be given in batteries. The price, or p, will be given in dollars. Here are some free algebra worksheets for practice.
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